Identity Laws: These laws simply show cases where if you place a binary number {0,1} into the formula, then the solution will be that same binary number that was used as the input.
In equation 1, if you OR any number x with 0 then your solution will be the number x because for the solution to be 1;one of the two numbers have to be equal to 1. Since the second part of the OR operation is already zero, the number x has to be 1 for the solution to be one.
In equation 2, when you use the AND operation the solution is equal to 1 only if both numbers are 1. Since the second number is already 1 then the first one has to be one in order to equal 1.
Examples:
| X | VY | Solution |
| 0 | 0 | 0 |
| 1 | 0 | 1 |
| X | ^Y | Solution |
| 0 | 1 | 0 |
| 1 | 1 | 1 |
1) x V 0 = x
2) x ^ 1 = x
