Could anyone clarify why this Boolean expression AB'+AB'AC' = AB'?

Question

Could anyone clarify why this Boolean expression AB'+AB'AC' = AB'? I did not understand what happened to the C'

score 2 · Answer 1 · answered Sep 27 '19 at 12:27

2

$$AB'+AB'AC'=AB'(1+AC')=AB'1=AB'$$

answered Sep 27 '19 at 12:27

Bram28

score 1 · Accepted Answer · answered Sep 25 '19 at 22:32

1

If $AB'$ is true, the $+$ will not change that.

If $AB'$ is false, then $(AB')(AC')$ is also false, no matter what $C'$ is. Then the entire expression is false, which is equal to $AB'$

answered Sep 25 '19 at 22:32

Andrei

Thank's Andrei!!!! – Silvia De Olivera Sep 25 '19 at 22:36
No Problem. If you find the answer useful, please mark it as accepted – Andrei Sep 25 '19 at 22:37

2 Answers2