Edytujesz Użytkownik:Promaster6304@legacy41473706/brudnopis2

{{Diagramy mcrs}}

'''Bramki logiczne''' zaimplementowane w Minecrafcie przypominają w użyciu WireMOD do gry Garry's Mod oraz elektronikę cyfrową w prawdziwym świecie. Jako element rozgrywki został dodany w fazie [[Alpha]]. Głównym składnikiem potrzebnym do tworzenia bramek logicznych jest [[czerwony proszek]] i jego pochodne.
<div style="padding-left: 8px; float: right">__TOC__</div>

==Podstawowe mechanizmy==

===Zasilanie bloków===

Każdy blok w grze może być zasilony bądź nie. Zasilone bloki nie wykazują zmiany wyglądu i są bezpieczne w dotyku.

Prąd może być wysyłany na maksymalnie 6 bloków poziomo bądź pionowo. By blok mógł być zasilony:
* Włączone musi być źródło energii elektrycznej (np. [[Czerwony proszek (pochodnia)|czerwone pochodnie]]);
* the block to which a [[switch]] is attached (that is, the block under a [[pressure plate]] or the block on which a [[lever]] or [[button]] is mounted), or
* an active power conductor ([[Redstone (wire)|redstone wire]] that is immediately adjacent to a powered block).
One must be careful to note that a redstone torch placed on the side of a block of dirt is actually part of the block ''next'' to the dirt, not part of the dirt block itself.  Similarly, redstone wire that is placed on top of a block of dirt is part of the block ''above'' the dirt.

Each actively powered block transmits power in several directions, depending on the contents of the block:
* A redstone torch powers all adjacent blocks '''except''' the block to which it is attached.
* The block under a pressure plate powers itself and all '''horizontally''' adjacent blocks when the pressure plate is activated.
* The block on which a lever is mounted powers itself and all adjacent blocks when the lever is thrown.
* The block on which a button is mounted powers itself and all adjacent blocks when the button is pressed.
* [[Redstone (Wire)|Redstone wire]] powers the blocks horizontally adjacent to the '''ends''' of the wire only.

===Powering Devices===

A device, such as a [[door]], a [[minecart track]], or a block of [[TNT]], is activated when an adjacent block is powered.  As a simple example, placing a redstone torch next to a door will toggle the state of the door.  Similarly, standing on a pressure plate immediately adjacent to a door will activate the door, because the block under the plate powers the block under the door.  However, standing on a pressure plate two blocks away from a door will not activate the door, because the power does not reach the block next to or under the door.

To power devices at a distance, the power must be conducted from the active power source to the device; redstone wire is used for this purpose.  As noted above, the redstone wire is part of the block it is physically located in, ''not'' the block to which it is attached.  Redstone wire, or dust, has two states: on (lit) and off (unlit).

The simplest way to activate redstone wire is to put redstone torch or switch adjacent to the wire.  It also works to have a torch or switch directly above redstone wire, attached to a wall.  It also works to place a block above redstone wire, and then to put a switch on top of that block.

A redstone torch is itself a powered device; its default state is "on", but it will be turned off if it receives power from the block to which it is attached.  This feature, along with the use of wire to transmit power in particular directions over distance, is the basis for the advanced redstone devices and circuitry below.

Care must be taken to follow the power rules precisely, or one might see unexpected results.  For example, consider a pressure plate.  Activating the plate will power the block underneath the plate and all of its ''horizontal'' neighbors.  Nevertheless, redstone wire ''beneath'' this block will still be powered, because it is adjacent to the powered block above it.  However, activating the plate will not turn off a redstone torch placed beneath the powered block -- in fact, placing a redstone torch under the block under the pressure plate will power it continuously, effectively disabling the plate.

===Specific Powered Devices===
Certain devices act in specific ways, for example:
* If a block is powered, a redstone torch attached to it will be deactivated.
* If a block is powered, a door on top of it or adjacent to it will toggle its state from open to closed or vice versa.  (The actual state will depend, because doors were implemented unintuitively.)
* If a block is powered, and it is a note block/dispenser, it will play/shoot once.
* If a block is powered, and rails are above it, they will toggle shape.  (You can still have the wiring power the rail directly.)

===Common Errors To Avoid===
The following are common errors to avoid:
* Trying to power a block by putting activated redstone wire underneath it.  Redstone wire powers blocks only horizontally at its ends.  To power a block from below, use a redstone torch.
* Trying to transmit power through a block that doesn't have any redstone wire on it.  While a generic block (dirt, sand, gravel, etc) adjacent to the end of a wire can ''receive'' power, it will not ''transmit'' that power to wire on the other side, because it is not one of the blocks that can transmit power. If you have a block that you cannot move, send wire around it (including on top of it).
* Switches on top of blocks are slightly buggy.  If you put a switch on top of a block, make sure that it works properly immediately.  Depending on what order the redstone and switch are placed, and what direction you are facing, and what direction the switch is facing, some combinations of these options will cause the switch to not power the block underneath at all.  If it happens, to fix it, destroy the block, change positions, and try to put the block and switch down again.

==Logic Gates==
A logic gate can be thought of as a simple device that taking one or more inputs will return an output decided upon from the inputs according to the rule that the logic gate follows. For example if both inputs on an [[#AND Gate (∧)|AND]] gate are in the 'true'/'on'/'powered' state the gate will return 'true'/'on'/'powered'. Much more in-depth information and a better explanation of this expansive topic is available on [[Wikipedia:Logic gate|Wikipedia]].

Below is a list of some of the basic gates with example images and [http://www.minecraftforum.net/viewtopic.php?f=25&t=17924 MC Redstone Sim] diagrams. There are many different ways to construct them other than those shown below, so use them as guidelines for creating one to fit your needs.
<!-- Most circuits have multiple valid implementations, with various advantages and disadvantages between designs such as size, complexity, performance. For simplicity all but the most conceptually simple designs are illustrated. --> <!--TODO-->
[[Image:StandardLogicGates.png|thumb|400px|none|Basic logic gate diagrams]]
{{-}}

===Circuit Symbols===
Each symbol represents one or two blocks (one represents three), viewed from above. All descriptions are with reference to a "ground level".

[[File:Redstone Simulator Guide.png|414px|Symbol guide for Redstone Simulator v2.2]]

From left to right:
#[[Air]]: air over air, i.e. two empty blocks, one above the other above ground level
#[[Block]]: air over a block (of any sort)
#Two Blocks: block over block, i.e. two solid blocks above ground level
#[[Redstone (Wire)|Wire]]: wire (with a block assumed to below the wire, below ground level)
#[[Redstone Torch]]: air over redstone torch (all torches are redstone torches in circuits)
#Wire over Block
#Torch over Block
#Block over Wire (i.e. the wire has an air block just above it; blocks cannot be put directly on wire)
#Block over Torch
#Torch over Wire (i.e. the wire has an air block just above it, the torch is above this)
#Bridge: wire on top of block, over wire (with the usual empty air block)
#[[Lever]] (aka Switch): air over switch
#[[Stone Button]]: air over button (button lasts 10 ticks)
#[[Pressure Plate]]: air over plate
#[[Door]]: 2-high
#Shadow
#[[Redstone (Repeater)|Repeater]]: air over a repeater on any setting, also represents repeater on ground in vertical diagrams
#Repeater over Block
#Block over Repeater
{{-}}

===NOT Gate (¬)===
[[Image:NOT.gif|frame|NOT gate (inverter)]]
A device that inverts the input, as such it is also called an "Inverter" Gate.<br />
[http://www.youtube.com/watch?v=rjLXFTaQZGQ NOT Gate Video Tutorial] 
{| class="wikitable" style="float: left;"
! A !! ''NOT'' A
|-
| 1 || 0
|-
| 0 || 1
|}
{| class="wikitable" style="float: left;"
! Design !! A !! B
|-
| Size || 1x1x2 || 1x2x1
|-
| Torches || 1 || 1
|-
| Redstone || 0 || 0
|-
| Input isolated? || Yes || Yes
|-
| Output isolated? || Yes || Yes
|}
{{-}}

===OR Gate (∨)===
[[Image:OR gate.gif|thumb|Three-input OR gate]]
A device where the output is on when at least one of the inputs are on.

A simpler version of the OR gate is design '''A''': merely a wire connecting all inputs and outputs. However, this causes the inputs to become "compromised", so that they can only be used in this OR gate. If you need to use the inputs elsewhere, version '''B''' is necessary.<br />
[http://www.youtube.com/watch?v=4Y6Nd2ncAxk OR Gate Video Tutorial]

Note that design '''B''' is a simple inversion of a NOR gate.
{| class="wikitable" style="float: left;"
! A !! B !! A ''OR'' B
|-
| 1 || 1 || 1
|-
| 1 || 0 || 1
|-
| 0 || 1 || 1
|-
| 0 || 0 || 0
|}
{| class="wikitable" style="float: left;"
! Design !! A !! B
|-
| Size || 1x1x1 || 1x3x2
|-
| Torches || 0 || 2
|-
| Redstone || 1 || 1
|-
| Inputs isolated? || No || Yes
|-
| Output isolated? || No || Yes
|-
| Max inputs || 3 || 4
|}
{{-}}

===AND Gate (∧)===
[[Image:AND gate.gif|thumb|AND gate designs.]]
A device where the output is on when both inputs are on. This behaves in a manner equivalent to a Tri-state buffer, where input ''B'' acts like a switch, so that if it is off, input ''A'' is disconnected from the rest of the circuit. The discrepancy from real-life tri-state buffers lies in the fact that one cannot drive a low current in Minecraft. (See the Wikipedia article for details.)

An example application would be building a locking mechanism for a door, requiring both the activating button and the lock (typically a lever) to be on.<br />
[http://www.youtube.com/watch?v=A9hEA9Qi3rQ AND Gate Video Tutorial]


{| class="wikitable" style="float: left"
! A !! B !! A ''AND'' B
|-
| 1 || 1 || 1
|-
| 1 || 0 || 0
|-
| 0 || 1 || 0
|-
| 0 || 0 || 0
|}
{| class="wikitable" style="float: left"
! Design !! A !! B !! C
|-
| Size || 3x2x2 || 2x3x2 || 1x6x5
|-
| Torches || 3 || 3 || 3
|-
| Redstone || 1 || 2 || 3
|}
{{-}}

===NOR Gate (⊽)===
[[Image:NOR gate.gif|thumb|NOR gate designs.]]
A device where the output is off when at least one of the inputs are on. All logic gates can be made from either this gate or the NAND gate. In Minecraft, this is the basic logic gate, implemented by a torch. A torch can have as many as 4 mutually isolated inputs (design '''B'''), but 3 can fit comfortably (design '''A'''), and all are optional. A torch with 1 input is the NOT gate, and with no inputs is the TRUE gate (i.e. a power source). If more inputs than 4 are necessary, one must resort to the non-isolated OR gate with a NOT at the end (at expense of isolation), or multiple NOR gates, according to the formula ''A'' ⊽ ''B'' ⊽ ''C'' = ''A'' ⊽ ¬(''B'' ∨ ''C'') (at the expense of speed, due to the nested gates).<br />
[http://www.youtube.com/watch?v=lOE0slDJS4k&feature=mfu_in_order&list=UL NOR Gate Video Tutorial]

{| class="wikitable" style="float: left"
! A !! B !! A ''NOR'' B
|-
| 1 || 1 || 0
|-
| 1 || 0 || 0
|-
| 0 || 1 || 0
|-
| 0 || 0 || 1
|}
{| class="wikitable" style="float: left"
! Design !! A !! B
|-
| Size || 1x1x2 || 3x3x3
|-
| Torches || 1 || 1
|-
| Redstone || 0 || 5
|-
| Inputs || 3 || 4
|-
| Inputs isolated? || Yes || Yes
|}
{{-}}

===NAND Gate (⊼)===
[[Image:NAND gate.gif|thumb|NAND gate designs.]]
A device where the output is off when both inputs are on.<br />
[http://www.youtube.com/watch?v=zxcpWS-lKDw NAND Gate Video Tutorial]

{| class="wikitable" style="float: left"
! A !! B !! A ''NAND'' B
|-
| 1 || 1 || 0
|-
| 1 || 0 || 1
|-
| 0 || 1 || 1
|-
| 0 || 0 || 1
|}
{| class="wikitable" style="float: left"
! Design !! A !! B
|-
| Size || 3x1x2 || 2x2x1
|-
| Torches || 2 || 2
|-
| Redstone || 1 || 1
|}
{{-}}

===XOR Gate (⊻)===
[[Image:XOR gate.gif|thumb|XOR gate designs.]]
A device which activates when the inputs are not equal to each other. Pronounced "exor". Adding a NOT gate to the end will produce an XNOR gate, which activates when the inputs are equal to each other. A useful attribute is that a XOR or XNOR gate will always change its output when one of its inputs changes.<br />
[http://www.youtube.com/watch?v=elMna_6gBr4 XOR Gate Video Tutorial]

{| class="wikitable" style="float: left;"
! A !! B !! A ''XOR'' B
|-
| 1 || 1 || 0
|-
| 1 || 0 || 1
|-
| 0 || 1 || 1
|-
| 0 || 0 || 0
|}
{| class="wikitable" style="float: left;"
! Design !! A !! B !! C !! D !! E !! F !! G
|-
| Size || 3x5x2 || 3x3x3 || 5x5x1 || 3x3x2 || 5x4x2 || 3x3x3 || 5x2x2
|-
| Torches || 5 || 5 || 3 || 3 || 3 || 5 || 8
|-
| Redstone || 6 || 5 || 14 || 3 || 12 || 4 || 4
|-
| Speed (ticks) || 3 || 3 || 2 || 2 || 2 || 3 || 3
|-
| Output direction || fwd. || '''rev.''' || fwd. || fwd. || fwd. || fwd. || fwd.
|-
| Requires levers? || No || No || No || '''Yes''' || No || No || No
|}
{{-}}

===XNOR Gate (≡)===
[[image:XNOR gate.gif|thumb|XNOR gate designs.]]
In logic, this is more commonly referred to as "if and only if" or "iff" for short. It is device which activates only when the inputs are equal to each other.  This is achieved by inverting the output or '''one''' input of an XOR.<br />
[http://www.youtube.com/watch?v=u9KeOIMLr18 XNOR Gate Video Tutorial]

{| class="wikitable" style="float: left;"
! A !! B !! A ''XNOR'' B
|-
| 1 || 1 || 1
|-
| 1 || 0 || 0
|-
| 0 || 1 || 0
|-
| 0 || 0 || 1
|}
{| class="wikitable" style="float: left;"
! Design !! A !! B !! C !! D !! E !! F
|-
| Size || 4x3x2 || 4x3x2 || 2x5x4 || 3x5x3 || 4x5x2 || 4x5x2
|-
| Torches || 6 || 4 || 4 || 4 || 4 || 4
|-
| Redstone || 5 || 5 || 7 || 7 || 10 || 9
|-
| Speed (ticks) || 3 || 2 || 2 || 2 || 2 || 2
|-
| Output direction || fwd. || fwd. || fwd. || fwd. || fwd. || '''rev.'''
|-
| Levers required? || No || '''Yes''' || No || No || No || No
|}
{{-}}

===IMPLIES Gate (→)===
[[Image:IMPLIES.gif|thumb|IMPLIES gate.]]
A device which represents [[Wikipedia:Material conditional|material implication]]. Returns false only if the implication ''A → B'' is false, that is, if the conditional ''A'' is true, but the consequent ''B'' is false. It is often read "if ''A'' then ''B''."

{| class="wikitable" style="float: left;"
! A !! B !! A → B
|-
| 1 || 1 || 1
|-
| 1 || 0 || 0
|-
| 0 || 1 || 1
|-
| 0 || 0 || 1
|}
{| class="wikitable" style="float: left;"
! Design !! A !! B !! C !! D
|-
| Size || 2x2x1 || 2x1x2 || 2x3x2 || 1x3x2
|-
| Torches || 1 || 1 || 3 || 1
|-
| Redstone || 1 || 1 || 2 || 2
|-
| Speed (ticks) || 1 || 1 || 2 || 1
|-
| Inputs isolated? || Only A || Only A || Yes || Only A
|-
| Output isolated? || No || No || Yes || No
|}
{{-}}

==Latches and Flip-Flops==

[[Wikipedia:Latch (electronics)|Latches]] and [[Wikipedia:Flip-flop (electronics)|Flip-Flops]] are effectively 1-bit memory cells. They allow circuits to store data and deliver it at a later time, rather than acting only on the inputs at the time they are given. Functions using these components can be built to give different outputs in subsequent executions even if the inputs don't change, and so circuits using them are referred to as "sequential logic". They allow for the design of counters, long-term clocks, and complex memory systems, which cannot be created with combinational logic gates alone.

The common feature at the heart of every redstone latch or flip-flop is the RS NOR latch, built from two NOR gates whose inputs and outputs are connected in a loop (see below). The basic NOR latch's symmetry makes the choice of which state represents 'set' an arbitrary decision, at least until additional logic is attached to form more complex devices. Latches usually have two inputs, a 'set' input and a 'reset' input, used to control the value that is stored, while flip-flops tend to wrap additional logic around a latch to make it behave in different ways.

===RS NOR latch===
[[Image:RS NOR latch.gif|thumb|RS NOR latch designs.]]
[[Image:RS NOR Latch E.gif|thumb|RS NOR latch E design.]]
[[Image:Vertical RS-NOR.png|thumb|Design H, viewed from the side ([http://www.minecraftforum.net/viewtopic.php?p=1050121#p1050121 Source])]]

A device where Q will stay on forever after input is received by S. Q can be turned off again by a signal received by R.

This is probably the smallest memory device that is possible to make in Minecraft. Note that <span style="text-decoration:overline">Q</span> means the opposite of Q, e.g. when Q is on, <span style="text-decoration:overline">Q</span> is off and vice-versa. This means that in certain cases, you can get rid of a NOT gate by simply picking the <span style="text-decoration:overline">Q</span> output instead of putting a NOT gate after the Q output.

A very basic example of use would be making an alarm system in which a warning light would stay turned on after a pressure plate is pressed, until you hit a reset button.

In the truth table, S=1, R=1 is often referred to as forbidden, because it breaks the inverse relationship between Q and <span style="text-decoration:overline">Q</span>. Also, some designs where the input is not isolated from the output, such as B and D, will actually result in Q and <span style="text-decoration:overline">Q</span> both apparently being 1 in this case. As soon as either S or R becomes 0, the output will be correct again. However, if S and R both become 0 on exactly the same tick, the resulting state could be either Q or <span style="text-decoration:overline">Q</span>, depending on quirks of game mechanics. In practice, this input state should be avoided because its output is undefined.

[http://www.youtube.com/watch?v=c4wZVfgNH48 RS NOR Latch Video Tutorial]

{| class="wikitable" style="float: left;"
! S !! R !! Q !! <span style="text-decoration:overline">Q</span>
|-
| 1 || 1 || Undefined || Undefined
|-
| 1 || 0 || 1 || 0
|-
| 0 || 1 || 0 || 1
|-
| 0 || 0 || Keep state || Keep state
|}
{| class="wikitable" style="float: left;"
! Design !! A !! B !! C !! D !! E !! F !! G !! H
|-
| Size || 3x3x1 || 2x3x2 || 3x3x3 || 4x2x2 || 7x3x3 || 4x2x1 || 3x2x2 || 1x3x3
|-
| Torches || 2 || 2 || 2 || 2 || 3 || 2 || 2 || 2
|-
| Redstone wire || 4 || 4 || 8 || 6 || 18 || 4 || 3 || 3
|-
| Inputs isolated? || Yes || No || Yes || No || Yes || Yes || Yes || No
|-
| Outputs isolated? || Yes || Yes || No || No || Yes || Yes || Yes || No
|-
| Input orientation || opposite || opposite || adjacent || either || adjacent || opposite || adjacent || opposite
|}
{{-}}

===RS NAND latch===
[[Image:RS NAND latch.gif|thumb|RS NAND latch designs.]]
Since NOR and NAND are the universal logic gates, a design for an RS NAND latch is just an RS NOR with inverters applied to the inputs and outputs. The RS NAND is logically equivalent to the RS NOR as the same inputs for R and S give the same outputs.

When <span style="text-decoration:overline">S</span> and <span style="text-decoration:overline">R</span> are both off, Q and <span style="text-decoration:overline">Q</span> are on. When <span style="text-decoration:overline">S</span> is on, but <span style="text-decoration:overline">R</span> is off, <span style="text-decoration:overline">Q</span> will be on. When <span style="text-decoration:overline">R</span> is on, but <span style="text-decoration:overline">S</span> is off, Q will be on. When <span style="text-decoration:overline">S</span> and <span style="text-decoration:overline">R</span> are both on, it does not change Q and <span style="text-decoration:overline">Q</span>. They will be the same as they were before <span style="text-decoration:overline">S</span> and <span style="text-decoration:overline">R</span> were both turned on.

{| class="wikitable" style="float: left;"
! <span style="text-decoration:overline">S</span> !! <span style="text-decoration:overline">R</span> !! Q !! <span style="text-decoration:overline">Q</span>
|-
| 1 || 1 || Keep state || Keep state
|-
| 1 || 0 || 0 || 1
|-
| 0 || 1 || 1 || 0
|-
| 0 || 0 || Undefined || Undefined
|}

{| class="wikitable"
! Design !! A !! B
|-
| Size || 6x3x3 || 6x3x2
|-
| Torches || 6 || 6
|-
| Redstone || 10 || 8
|-
| Input orientation || adjacent || opposite
|}
{{-}}

===D Flip-Flop===
[[Image:D flip-flop.gif|thumb|D flip-flop designs.]]
[[Image:Vertical D-latch.png|thumb|Side view of a vertical D flip-flop, design C ([http://www.minecraftforum.net/viewtopic.php?f=35&t=16440&start=1440#p1485127 Source])]]
[[Image:D-latch 2.png|thumb|Design D ([http://www.minecraftforum.net/viewtopic.php?f=35&t=16440&start=1410#p1480990 Source])]]
[[Image:Compact D Flip Flop.png|thumb|Design E is a more compact version of design A.]]
A D flip-flop, or "data" flip-flop, sets the output to D only on certain conditions. The basic level-triggering D flip-flop (design '''A'''), also known as a gated D latch, sets the output to D as long as the clock is set to OFF, and ignores changes in D as long as the clock is ON. Design '''B''' includes an edge-trigger, and will set the output to D only at the moment the clock goes from OFF to ON.

In these designs, the output is not isolated; this allows for asynchronous R and S inputs (which override the clock and force a certain output state). To get an isolated output, instead of using Q simply connect an inverter to <span style="text-decoration:overline">Q</span>.

Design '''C''' is a one block wide version of '''A''', except for using a non-inverted clock. It sets the output to D as long as the clock is ON (turning the torch off). This design can be repeated in parallel every other block, giving it a much smaller footprint, equal to the minimum spacing of parallel data lines (when not using a "cable"). A clock signal can be distributed to all of them with a wire running perpendicularly under the data lines, allowing multiple flip-flops to share a single edge-trigger if desired. The output <span style="text-decoration:overline">Q</span> is most easily accessed in the reverse direction, toward the source of input. Q can be inverted or repeated to isolate the latch's Set line (the unisolated Q and <span style="text-decoration:overline">Q</span> wires can do double duty as R and S inputs, as in design '''A''').

Design '''E''' provides a more compact version of '''A''', while still affording the same ceiling requirement. The design to the right in the image however requires 1 more block ceiling allowance, but allows the edge trigger to act on a ''high input''. This additional ceiling requirement can be circumvented by simply moving the vertical '''NOT''' gate, to a lateral position 2 blocks downward. There is also the option of simply providing a '''NOT''' gate on the clock for your data bank, thus preventing the requirement of a gate for each flip flop.

{| class="wikitable"
! Design !! A !! B !! C !! D !! E
|-
| Size || 7x3x2 || 7x7x2 || 1x5x6 || 2x4x5 || 3x2x7
|-
| Torches || 4 || 8 || 5 || 8 || 5
|-
| Redstone wire || 11 || 18 || 6 || 5 || 13
|-
| Trigger || Level || Edge || Level || Level || Level
|-
| Output isolated? || No || No || No || No || No
|-
| Input isolated? || Yes || Yes || C Only || Yes || Yes
|}
{{-}}

===JK Flip-Flop===
[[Image:JK flip-flop.gif|thumb|JK flip-flop designs.]]
A JK flip-flop is another memory element which, like the D flip-flop, will only change its output state only when the clock signal C changes from 0 to 1 or 1 to 0 (edge-triggered, design A and B), or while it holds a certain value (level-triggered, design C). When the flip-flop is triggered, if the input J = 1 and the input K = 0, the output Q = 1. When J = 0 and K = 1, the output Q = 0. If both J and K are 0, then the JK flip-flop maintains its previous state. If both are 1, the output will complement itself — i.e., if Q = 1 before the clock trigger, Q = 1 afterwards. The below table summarizes these states — note that Q(t) is the new state after the trigger, while Q(t-1) represents the state before the trigger.

The JK flip-flop's complement function (when J and K are 1) is only meaningful with edge-triggered JK flip-flops, as it's an instantaneous trigger condition. With level-triggered flip-flops (e.g. design C), maintaining the clock signal at 1 for too long causes a race condition on the output. Although this race condition is not fast enough to cause the torches to burn out, it makes the complement function unreliable for level-triggered flip-flops.

{| class="wikitable" style="float:left;"
! J !! K !! Q(t)
|-
| 0 || 0 || Q(t-1)
|-
| 0 || 1 || 0
|-
| 1 || 0 || 1
|-
| 1 || 1 || <span style="text-decoration:overline;">Q</span>(t-1)
|}

{| class="wikitable"
! Design !! A !! B !! C
|-
| Size || 11x9x2 || 9x8x2 || 5x7x4
|-
| Torches || 12 || 12 || 11
|-
| Redstone || 34 || 35 || 22
|-
| Accessible <span style="text-decoration:overline">Q</span>? || No || No || Yes
|-
| Trigger || Edge || Edge || Level
|}
{{-}}

===T Flip-Flop===
[[Image:T flip-flop.gif|thumb|T flip-flop designs.]]
[[Image:Narrow T Flip-Flop.png|thumb|Side view of vertical T flip-flop designs.]]
T Flip-Flops are also known as "toggles". Whenever T changes from 0 (off) to 1 (on), the output will toggle its state.

A useful way to use T Flip-Flops in Minecraft could for example be a button connected to the input. When you press the button the output toggles (a door opens or closes), and does not toggle back when the button pops out. ''(Designs '''C''' and '''D''' do not have an incorporated edge trigger and will toggle multiple times unless the input is passed through one first.)''

It is also the core of all binary counters and clocks, as it functions as a "period doubler", turning two input pulses into one output pulse.

Design '''A''' has a large footprint, but is easy to build. It (and '''B''', which is a slightly compacted version of '''A''') is essentially a JK flip-flop with the inputs for J and K removed so that it relies on the edge trigger (right side of the diagram) to keep it in the stable state and only allow a single operation per input.

Design '''C''' has a smaller footprint and an easily accessible inverse output, but lacks an edge trigger. If the input is kept high, it will repeatedly toggle on and off, cycling quickly enough to burn out its torches. For example, if the button mentioned above is wired directly to its input, the device can toggle several times before the button shuts off. Even a 4-clock is too slow to reliably result in only one toggle.

Design '''F''' makes use of repeaters to make the circuit more compact, however, it does require the repeaters to be set to the levels specified in order to function correctly.

Adding an edge trigger by routing input through a separate pulse generator (design '''B'''' seems to work best) will prevent this problem, as will any other means of sending it a short (2-3 tick) pulse of power.

Designs '''D''' and '''E''' are much taller than the others, but only a single block wide, making them good for situations where floorspace is limited. '''D''' is level-triggered like design '''C''', which can save space when distributing one input pulse to multiple flip-flops. '''E''' has a single block wide edge trigger added on, making it easy to daisy-chain multiple units to create a binary counter or period-doublers for a slow clock. These designs are based on the vertical gated D latch (design '''C''') with the inverse output looped back to the input.

''NOTE: Some of the illustrated T Flip-Flops to the right don't include the typical inverse Q outputs. If you want to use the inverse Q then just add an inverter to Q.''

[http://www.youtube.com/watch?v=Y4oa3LNKBZ4 T Flip-Flop Video Tutorial]

{| class="wikitable"
! Design !! A !! B !! C !! D !! E !! F
|-
| Size || 7x9x2 || 7x8x2 || 5x6x3 || 1x7x6 || 1x12x7 || 6x8x2
|-
| Torches || 10 || 10 || 8 || 7 || 12 || 5
|-
| Redstone || 28 || 29 || 22 || 9 || 15 || 26
|-
| Repeaters || 0 || 0 || 0 || 0 || 0 || 3
|-
| Accessible <span style="text-decoration:overline">Q</span>? || No || No || Yes || No || No || Yes
|-
| Trigger || Edge || Edge || Level || Level || Edge || 
|}
{{-}}

==Other Electronic Components==

===Repeater/Diode in Beta 1.3===
:''See the [[Redstone Repeater]] article for full details.''
As of Minecraft Beta version 1.3 you can craft a Redstone Repeater block from 3 stone, two redstone torches and one redstone dust. It can be used to compactly extend the running length of a wire beyond 15 blocks, or apply a configurable delay.

===Traditional Repeater/Diode===
[[Image:RedstoneInverter.png|thumb|Example of a Repeater]]
Using two Redstone torches in series can effectively extend your running wire length past the 15-block limitation. As of 1.0.2 (the July 6th update), there must be a strip of wire between the two Redstone torches. Repeaters makes it possible to send long-distance signals around the map, but in the process, slows down the speed of transfer. To reduce delays, you can stretch out the repeater so that some areas of the wire are consistently in the opposite state, but as long as the amount of Redstone torches, or, effectively, [[#NOT Gate (¬)|NOT Gates]] is even, the signal will be correct. In more advanced circuits, repeaters can be used as a semi-conductors; to isolate in- or outputs.

Note that since 1.3 there is a one block [[Redstone Repeater]] built into the game that can be crafted from 3 stone, two redstone torches and one redstone dust, and which can be set to different delay times.
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===The North/South Quirk===
[[Image:North South Quirk.png|thumb|Fig. 1 - The two possible orientations.]]
[[Image:NSQ Inverse Outputs.png|thumb|Fig. 2 - Equal-delay inverse outputs.]] 
A specific arrangement of torches which would normally be expected to behave identically to a traditional 2-torch repeater, causing a 2-tick delay in signal transmission, instead causes only a 1-tick delay. (See figure 1.) When constructed with the torches facing east and west, this arrangement causes the expected 2-tick delay, but when facing north and south, the second (top) torch changes state at the same time as the first, after only a single tick.

The quirk can cause unexpected bugs in complicated circuit designs when not accounted for, but it does have several practical uses. For example, double doors require opposite power states, but inverting one signal delays that door's response by 1 tick. Prior to Beta 1.3 and the introduction of the [[Redstone Repeater]], the only known way to perfectly synchronize them was with this 1-tick repeater. Another application is in creating a clock circuit (see below) with an even pulse width and period.

Finally, as a generalization of the double-door use, the North/South Quirk can be used to obtain two signals which are always inversely related without the additional 1-tick delay a NOT gate normally causes in the second signal. (See figure 2.) This can be especially useful in circuits where precise timing is important, such as signal processing that relies on the transition of an input from high to low and low to high (on to off and back), for example by sending each of the inverse signals through separate edge detectors (see pulse generators below) and then ORing their outputs.
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===Delay Circuit===
[[Image:Delay Circuits.gif|frame|Compact delay circuits used to increase signal travel time.]]

Sometimes it is desirable to induce a delay in your redstone circuitry. Delay circuits are the traditional way to achieve this goal a compact manner. However, in Beta 1.3 the single-block [[Redstone Repeater]] was introduced, which can be set to a 1, 2, 3 or 4 tick delay, effectively rendering these delay circuits obsolete. The historical circuits are shown here for completeness, and will still work should you choose to build one.

These two delay circuits utilize torches heavily in favor of compactness, but in doing so the builder must be aware of the North/South Quirk. For maximum signal delay, construct these designs so that the stacked torches face east and west. For a fine-tuned delay, adjust the design to rotate one of the alternating-torch stacks to face north and south, or add an additional stack in that orientation.

Design A gives a 4 tick delay, while design B gives a 3 tick delay.

One possible use for delay circuits is to make music. With the introduction of [[Note Block]]s in Beta 1.2, delay circuits can be mixed in with wire and note blocks to create sequences of notes. Here's an example [http://www.youtube.com/watch?v=6gPMtzuCKdg http://www.youtube.com/watch?v=6gPMtzuCKdg]
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===Clock generators===
[[Image:Clock generators and pulsars.png|thumb|Clock generators and pulsars.]]
[[Image:variable clock.jpg|thumb|Variable clock generator using redstone repeaters. The delay can be increased almost infinitely with more repeaters.]]
[[Wikipedia:Clock generator|Clock generators]] are devices where the output is toggling on/off constantly.
The simplest stable clock generator is the 5-clock (designs '''B''' and '''C'''). Using this method, 1-clocks and 3-clocks are possible to make but they will "burn out" because of their speed, which makes them unstable. Redundancy can be used to maintain a 1-clock, even as the torches burn out; the result is the so-called "Rapid Pulsar" (designs '''A''' and '''F'''). Slower clocks are made by making the chain of inverters longer (designs '''B' ''' and '''C' ''' show how such an extension process can be achieved).

Using a different method, a 4-clock can be made (design '''D'''). A 4-clock is the fastest clock which will not overload the torches.

A 4-clock with a regular on/off pulse width is also possible as seen in design '''E'''. This design uses five torches, but can be constructed so that it has a pulse width of 4 ticks by employing the North/South Quirk. It is important that the orientation of this design (or at least the portion containing the stacked torches) be along the north/south axis.

The customary name ''x''-clock is derived from half of the period length, which is also usually the pulse width. For example, design '''B''' (a 5-clock) will produce the sequence <code>...11111000001111100000...</code> on the output. 

Designs '''F''' and '''G''' are examples of possible vertical configurations.

====Repeater Clocks====

With the addition of [[Redstone Repeater]]s in the Beta 1.3 update, clock generators can be simplified to at most one block, one redstone torch and from one to any number of repeaters chained together.

Very rapid clocks with even pulsewidth can be designed out of only [[Redstone Repeater]]s. By increasing the delay on each repeater or by increasing the number of repeaters in the loop, the clock can be slowed. These clocks act as variable clocks, but have higher maximum speeds.

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===Pulse Generators===
[[Image:Pulse gen.png|thumb|Pulse generator designs.]]
A device that creates a pulsed output when the input changes. A pulse generator is '''required''' to clock flip-flops without a built-in edge trigger if the clock signal will be active for more than a moment (i.e., excluding [[Stone Button]]s). 

Design A will create a short pulse when the input turns off. By inverting the input as shown in B, the output will pulse when the input turns on. The length of the pulse can be increased with extra inverters, shown in B'. This is an integral part of a T flip-flop, as it prevents the flip-flop changing more than once in a single operation. Designs A and B can be put together to represent both the increase of A and the decrease of A as separate outputs, these can then be ORed to show when The input changes, regardless of its state. [[Redstone Repeater]]s can be used to change the length of the pulse, by placing one or more in series in the delay circuit between the two redstone torches (referring to design A).

A pulse generator which causes a short pulse of low power instead of high can be made by removing the final inverter in design B' and replacing it with a wire connection. This is the type used in designs A and B of the T and JK flip-flops (when J=1 and K=1) to briefly place these devices in the 'toggle' state, long enough for a single operation to take place.
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===Monostable Circuit===

[[File:Monostable.gif|200px|thumb|right|Monostable Circuit (large)]]

A device that turns itself off a short time after it has been activated. Basically, it consists of a RSNOR-latch and delay hooked up to its reset. The trigger input activates the latch's SET input, and after a delay set by the [[Redstone (Repeater)|repeaters]], the RESET activates, turning the output off again. The delay (e.g. the length that the output is high) can be set to any value by adding repeaters into the chain.

It can also be used to delay a signal by using its reset signal as output.


A compact version of the circuit fits neatly into a small space (3x5x1).
[[File:Monostable_small.gif|200px|thumb|right|Monostable Circuit (compact)]]


Alternatively, a (1x8x3) vertical device can be built to fit neatly against/into a wall. As in the other cases, the length of time that the output is high can be adjusted by adding or removing repeaters. (N.B. the repeaters should be flat on the floor, in the positions shown.)
[[File:Monostable_vertical.gif|300px|thumb|right|Monostable Circuit (vertical)]]



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===Vertical transmission===
[[Image:Redstone2x2vertical.png|thumb|A 2×2 vertical spiral of redstone]]
Sometimes it's necessary or desirable to transmit a redstone state vertically, for example to have a central control or status for several circuits from a single observation point. To transmit a state vertically, a 2×2 spiral of blocks with redstone can be used to transmit power in either direction, and the spiral is internally navigable (i.e. one can climb or descend within the tower).

If repeaters are necessary, there is a 1×1 design for transmitting a state upward, and a 1×2 design for transmitting a state downward. For this to be effective you MUST NOT finish the top torch ON only OFF will switch the current when needed. Internal navigability of these designs inside a 2×2 tower interior can be maintained using ladders.
[[Image:Redstone1x1up.png|thumb|left|A 1×1 tower of upward repeaters]]
[[Image:Redstone1x2down.png|thumb|none|A 1×2 tower of downward repeaters]]
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===Blink device===
[[Image:Flash device.png|thumb|right|Blink device]]
[[Image:Flash device2.png|thumb|right|Blink device on inside]]
[[Image:Randomshort.png|thumb|left|Random short generator]]
This device creates energy in an irregular sequence. It is a variant of the "Rapid Pulsar" design shown in the [[#Clock generators|Clock Generators]] section above.

You can build this device by placing a block with one redstone torch on every side. Place some redstone on top of the block, and place a new block on top of each torch. Then wire it up to different circuits.

This device will stop working after the server restarts (multiplayer), or if you save and come back (singleplayer). All torches and redstone will be off. Reconstruction will be necessary.

By connecting all the torches together, this device will keep going, because although the torches burn out, they are all connected. Giving you a 1 tick timer.

==Mechanical to Electrical Conversion==
[[File:Mechanical Electral Converter.PNG|thumb|right|A Mechanical-Electrical Converter]]

Making use of a quirk involving the update function on blocks near a water or lava source, it is possible to convert the "mechanical" energy of updating a nearby block into a redstone signal. To do this, create a water or lava rig that will shift when the desired block updates (for more info, read [http://www.minecraftforum.net/viewtopic.php?f=35&t=53918&p=866260 this thread]). Then position a redstone torch or powder trail so that the water/lava will wash/burn the torch or powder. Do this in such a way that the missing redstone component will change the input to your circuit.

Once this setup has been rigged, the next time an update function is called in an adjacent block to the water/lava source, it will trigger your mechanism. Update functions include: an adjacent block is placed by a user, gravel or sand falls into an adjacent block, grass grows, wheat grows, an adjacent block receives power, an item resting on an adjacent block changes state (such as a door being opened).

This setup can only trigger once before needing to be manually reset.

==Electrical to Liquid Kinetic Conversion==
[[File:Electrical Kinetic Liquid Converter.PNG|thumb|right|An Electrical-Liquid Kinetic Converter]]
It is possible to use the same quirk described in the Mechanical to Electrical Conversion section to make water or lava flow as desired. In order to do this, simply follow the instructions in [http://www.minecraftforum.net/viewtopic.php?f=35&t=53918&p=866260 this thread] and run a redstone wire to the block adjacent to the water/lava source. Whenever the redstone wire toggles state, the water/lava source will update. If arranged properly, this can be used to redirect water or lava whenever the desired input is given via redstone circuit.

==External links==
*[http://www.minecraftforum.net/viewtopic.php?f=35&t=25695 Written tutorial on Minecraft Forums].
*http://www.ustream.tv/channel/minecraft-redstone-help (blobbob22's live show to help u build circuits)

==Related pages==
*[[Redstone]]
*[[Redstone (wire)]]
*[[Redstone (ore)]]
*[[Redstone (dust)]]
*[[Diode/Repeater/Delayer]]
*[[Redstone Torch]]
*[[Tutorials/Advanced Electronic Mechanisms|Advanced Electronic Mechanisms]]
*[[Tutorials/Mechanisms|Mechanisms]]
*[[Tutorials/Traps|Traps]]
*[[CraftBook]] (mod) adds integrated circuits and programmable logic chips to SMP

[[Category:Gameplay]]
[[Category:Mechanics]]
[[Category:Redstone]]

[[de:Redstone-Schaltkreise]]