Introduction to Boolean Logic
This is a quick guide and a simplification to those who are not familliar with Boolean logic.
Digital gates operate on Boolean logic, where the values represent either 0 (false) or 1 (true). In the case of Redstone signal levels, a statement is considered:
- False (0): Redstone Signal is 0.
- True (1): Redstone Signal is greater than 0.
Boolean logic tables (also called the Truth table) describe the behavior of gates by showing the output signal for every possible input condition. This guide will teach you how to read Boolean logic tables and apply them to Redstone circuits.
Example: Buffer Gate
Let's start with the simplest logic gate: the Buffer. It has one input and one output. Here's its adjusted Boolean logic table:
| Input | Output |
|---|---|
| = 0 | 0 |
| > 0 | 15 |
To understand the table, follow these steps:
- Create a simple circuit with a lever connected to the Buffer's input and a Universal Indicator on the output.
- Refer to the table to see how the input value corresponds to the output value. Observe one row at the time.
When the Redstone signal is 0 at the Buffer's input, the output is also 0. When the input signal is greater than 0, the output gives 15.
Example: OR Gate
From now on, "= 0" will be replaced by 0. "> 0" and "15" will be replaced with 1. Now, let's look at a slightly more complex gate: the OR gate. It has two inputs and one output. Here's its Boolean logic table:
| Input A | Input B | Output |
|---|---|---|
| 0 | 0 | 0 |
| 1 | 0 | 1 |
| 0 | 1 | 1 |
| 1 | 1 | 1 |
To test this gate, follow these steps:
- Create a circuit with two levers connected to the OR gate's inputs and a Universal Indicator on the output.
- Observe how the output changes based on the combination of inputs.
Explanation:
- If both input signals are 0, the output is 0.
- If one input OR the other receives a signal greater than 0, the output becomes 15.
Conclusion
Boolean logic tables are tools for understanding the behavior of logic gates. With practice, you can combine multiple gates to create more complex circuits for your Redstone creations. Use the tables as a quick reference to predict and troubleshoot your circuits' behavior.