Boolean AND one

If we have an expression like:

A\cdot 1

…then for any value of A, we are ANDing it with one. If we and anything with 1, then we just get back the value A.

We know that, because of the AND truth table:

In short:

A\cdot1=A

We can use this to simplify boolean algebra!

flashcards

QuestionAnswer
A\cdot 1 = 1No, A \cdot 1 = A
Because AND with 1 gives the original value: 1 AND 1 = 1, 0 AND 1 = 0.
What does A \cdot 1 simplify to?A
From the AND truth table, what is 1 AND 1?1
From the AND truth table, what is 0 AND 1?0
What is the effect of ANDing any boolean value with 1?You get back the original value A (i.e., A \cdot 1 = A)