Thank you to my assistant, odesseygamer12, for helping to create this post! Without him this wouldn’t exist.
Logic gates are probably the first thing you should learn when picking up redstone computing. Logic gates perform “logical” functions and are the backbone of circuits and computing. Truth tables help express the function of a logic gate and are mainly used as a reference, but can also be used for many other things.
Both of these will be covered in this post. Lets start with the most simple logic gate, and work our way up. For all gates, input [A] will be on the left and input [B] will be on the right. When constructing your circuit of choice, you can swap the inputs. Customize logic gates to your need!
NOT Gate
The NOT gate is the most simple of logic gates. It only takes in one input, and the output is the reverse of the input. It’s truth table is shown below.
| Input | Output |
|---|---|
| A | Q |
| 0 | 0 |
| 1 | 1 |
AND Gates:
AND Gate
The AND gate is another simple gate. The output is only on if both inputs are also on.
| Input | Output |
|---|---|
| A / B | Q |
| 0 / 0 | 0 |
| 0 / 1 | 0 |
| 1 / 0 | 0 |
| 1 / 1 | 1 |
NAND Gate
The NAND gate is the reverse of the previous AND gate. The output is always on unless both inputs are on, then it is off.
| Input | Output |
|---|---|
| A / B | Q |
| 0 / 0 | 1 |
| 0 / 1 | 1 |
| 1 / 0 | 1 |
| 1 / 1 | 0 |
OR Gates:
OR Gate
The OR gate is another simple gate. The output is only off if both inputs are on.
| Input | Output |
|---|---|
| A / B | Q |
| 0 / 0 | 0 |
| 0 / 1 | 1 |
| 1 / 0 | 1 |
| 1 / 1 | 1 |
NOR Gate
The NOR gate is the opposite of the OR gate. The output is only on if both inputs are off.
| Input | Output |
|---|---|
| A / B | Q |
| 0 / 0 | 1 |
| 0 / 1 | 0 |
| 1 / 0 | 0 |
| 1 / 1 | 0 |
XOR Gates:
XOR Gate
The XOR gate is the gateway into more complicated gates. The XOR gate is only on if only one input is on. Otherwise, it is off.
| Input | Output |
|---|---|
| A / B | Q |
| 0 / 0 | 0 |
| 0 / 1 | 1 |
| 1 / 0 | 1 |
| 1 / 1 | 0 |
XNOR Gate
The XNOR gate is the opposite of the XOR gate. The XNOR gate is only on if both inputs are the same.
| Input | Output |
|---|---|
| A / B | Q |
| 0 / 0 | 1 |
| 0 / 1 | 0 |
| 1 / 0 | 0 |
| 1 / 1 | 1 |
IMPLY Gates:
IMPLY Gate
IMPLY gates are less known, but also slightly confusing. When reading the truth table and practicing with IMPLY gates, they become easy to learn. There are two different IMPLY gates, referred to as:
A IMPLY B, or B IMPLY A.
IMPLY gates are only off if their first variable (such as A IMPLY or B IMPLY) is on, with the second variable (IMPLY B, or IMPLY A) is off.
A IMPLY B Gate:
| Input | Output |
|---|---|
| A / B | Q |
| 0 / 0 | 1 |
| 0 / 1 | 1 |
| 1 / 0 | 0 |
| 1 / 1 | 1 |
B IMPLY A Gate:
| Input | Output |
|---|---|
| A / B | Q |
| 0 / 0 | 1 |
| 0 / 1 | 0 |
| 1 / 0 | 1 |
| 1 / 1 | 1 |
NIMPLY Gate
NIMPLY gates are the opposite of IMPLY gates. NIMPLY gates are only on if the first variable (NIMPLY A or NIMPLY B) is on, and the second variable is off.
A NIMPLY B Gate:
| Input | Output |
|---|---|
| A / B | Q |
| 0 / 0 | 0 |
| 0 / 1 | 0 |
| 1 / 0 | 1 |
| 1 / 1 | 0 |
B NIMPLY A Gate:
| Input | Output |
|---|---|
| A / B | Q |
| 0 / 0 | 0 |
| 0 / 1 | 1 |
| 1 / 0 | 0 |
| 1 / 1 | 0 |
Thank you for reading this post! This is the first in a series I will make. These posts take time from researching and writing, so please bear with me if I do not make a sequel in roughly 200,000 years. Have a nice day!