Below are truth tables for both true and false and for 0 and 1 values.

## Overview of Truth Tables

Truth logic tables are tables that compare true and false values. In the tables above, p and q are the variables. True, false, 0, and 1 are the values for p and q.

The reason why we show you the bit tables is because computers see true and false as 0 and 1. Now, 0 and 1 are also known as bits. A bit is either 0 or 1.

### Special Truth Table Techniques

Take a look at the last part of the above table. If you multiply p and q, you get the same results as p “And” q. And, if you add p and q, you get the same results as p “Or” q.

### A Different Story with Xor

Unfortunately, Xor is a different case. Basically, Xor says, if p and q are the same, then the result is false or 0.

## Logical Functions Tool

Use the tool below to test logic results for 0 and 1. For the purpose of making it easier to read, we use true and false as result values.

## Try This Out

Open up a spreadsheet that allows you to use the three operators: And, Or, and Xor. Then, try out these functions:

- =AND(0)
- =AND(0,1)
- =OR(1,0)
- =XOR(1,1)
- =AND(OR(1,0),XOR(0,0))

Although using 0 and 1 is quicker than using true and false, it is also more symbolic. However, it is better to use the words true and false as logical values, especially when coding.

## External Links

For more information on logic tables, check out the links below.