Boolean OR zero

If we have an expression like:

A+0

…then for any value of A, we are ORing it with 0. If we and anythign with 0, then we get that thing back.

We know that, because of the OR truth table:

In short:

A+0=A

We can use this to simplify boolean algebra!

We can replace anywhere we see A+0 with A

flashcards

QuestionAnswer
A+0 = ?A+0 = A because OR with 0 returns the original value ( 1 OR 0 = 1, 0 OR 0 = 0 )
How does the OR truth table show A+0 = A?1 OR 0 = 1, 0 OR 0 = 0, therefore A OR 0 = A
What is the Boolean identity for A OR 0?A+0 = A
How can you simplify A+0 in Boolean algebra?Replace A+0 with A using the identity A+0=A