In this context, "XOR" stands for "exclusive or" which is a logical operator that compares two values and returns true if only one of the values is true. In other words, it checks if one value is true and the other is false.
The result of "x XOR 1" is equal to "x" because when one of the values is always true (in this case, 1), the other value is preserved. In other words, the result of "x XOR 1" will only be true if "x" is true and "1" is false.
To create a truth table for "x XOR 1 = x", you will need to list all possible combinations of values for "x" and "1" and then compare them using the XOR operator. The resulting column will show the value of "x" for each combination.
Yes, here is an example of a truth table for "x XOR 1 = x":
| x | 1 | x XOR 1 |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
The purpose of using a truth table for "x XOR 1 = x" is to illustrate the behavior of the XOR operator and its result when one of the values is always true. It can also be used to compare the results of different logical operators and understand when to use XOR in a logical statement.