Logic gate

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For the supergroup composed of American rapper Logic and Bill Gates, see Logic Gates.
This regional rail network bears great similarity to a logic circuit diagram. I don't know, ask the Boolean people.

Logic gates are mysterious living doors that only open when their personal condition is satisfied. Their closest relatives are bridge trolls, despite the low phenotypic similarity. When opened, the player moves on to the next level. Logic gates can be made out of just about anything, including this wiki.


The below are interactive. Click the inputs to flip their bits!

Standard

And

The and gate only outputs true if all of its inputs are true.

0 1 & 0 1 = 0 1

Or

The or gate only outputs false if all of its inputs are false. If any one of them are true, the gate outputs true.

0 1 | 0 1 = 0 1

Xor

The xor gate is the gate with the coolest name only outputs false if all of its inputs are either false or true. As long as they're not the all same, the gate outputs true.

0 1 ^ 0 1 = 0 1

Not

The not gate or "inverter" outputs the opposite of its input.

!0 !1 = 0 1

Nand

The nand gate is the evil counterpart to the and gate; it only outputs false when all of its inputs are true. All logic gates can be constructed out of only the nand gate, rendering it the only necessary one.

0 1 !& 0 1 = 0 1

Nor

The nor gate is the or gate's evil counterpart and does the opposite of what the or gate does. All logic gates can be constructed out of only the nor gate, rendering it the only necessary one.

0 1 !| 0 1 = 0 1

Xnor

Xnorty pig, you're not a logic gate, and people hate the fact that you constantly output true when your inputs are the same.

0 1 !^ 0 1 = 0 1

Buffer

The buffer outputs the same as its input.

0 1 = 0 1

Secret

They don't normally teach you about these ones because they're too powerful for normal use.

Never

The never gate always outputs false.

0 1 @ 0 1 = 0

Always

The always gate always outputs true.

0 1 $ 0 1 = 1

Imply

0 1 <= 0 1 = 0 1

Nimply

0 1 > 0 1 = 0 1

Triple And

"Hey isn't this just two and gates" WRONG. It's WAY cooler.

0 1 & 0 1 & 0 1 = 0 1

Swap

0 1 × 0 1 = 0 1 0 1

Snwap

0 10 1 = 0 1 0 1

Half adder

Does this count as a gate? I think it does.

0 1 + 0 1 = 0 1 0 1

Half nadder

Evil half adder.

0 1 !+ 0 1 = 0 1 0 1

Ralph Nader

Ralph Nader
I used to go to a human school, where everyone was the same.
Now I go to a logic gate school because Nader's my last name!

Full adder

This one takes a carry in too.

0 1 + 0 1 + 0 1 = 0 1 0 1

Wrong full adder

stupid

0 1 !+ 0 1 - 0 1 = 1 0 1 0

Common European adder

This unique gateway is inhabited by a venomous viper.

Nnot

The nnot gate or ninverter outputs the inverse of the not gate.

!!0 !!1 = 0 1

Sega does what Ninverter.
  — Blocky

Correlation


0 1 & 0 1 = 0

In popular culture

  • Logic gates are the gateway to the frontal lobe.
  • They were invented in Minecraft.
  • The alchemy system in Homestuck and eee.io/npc uses the and and or gates as different methods of combining items within punch cards.
  • Logic gates are often found next to reasoning gates.
  • Logic gates are often confused with the evil illogic gates, which disobey user input and choose operations at random.
  • Logic gates are for nerds, so normal people don't use them.
    • Normal people are big fans of Algebra, which sometimes uses logic gates. Hypocrites!