Boolean OR dominance

The booleans dominance law says that when we have a value x ORed with 1, the result is always 1, because:

This is because the OR requires at least one side to be true if we want a true result, but we already know one of the sides is true, so the result must also be true, we don’t need to know the value of x to know that the result is 1.

A + 1 = 1

To simplify, replace anywhere ORed with 1 with just 1. For example, A + 1 simplifies to just 1.

flashcards

QuestionAnswer
What is the Boolean OR dominance law?When a value x is ORed with 1, the result is always 1, because 0 + 1 = 1 and 1 + 1 = 1, so x + 1 = 1.
How do you simplify an expression where a term is ORed with 1?Replace the entire OR operation with just 1. For example, A + 1 simplifies to 1.
Why is the result always 1 when x is ORed with 1?Because OR requires at least one side to be true for a true result; since one side (1) is already true, the result must be true regardless of x.