how solve the boolean expression

42 Views Asked by Bumbble Comm At 04 Apr 2026 - 5:56

so my question is prove the following relation and solve the boolean expression. i'm stuck. because usually i solve the question is not like this.

i) AB+ABC+ABC=AB ii) Z(Y+Z)(X+Y+Z)=Z

There are 1 best solutions below

Bumbble Comm On 26 Jan 2016 - 9:09 BEST ANSWER

Hint:

$LHS=AB+ABC+ABC=AB+ABC=AB(1+C)=AB.1=AB=RHS$
$LHS=Z(Y+Z)(X+Y+Z)=Z(Y+Z+0)(Y+Z+X)=Z(Y+Z+0.X)=Z(Y+Z)=(Z+0)(Z+Y)=Z+0.Y=Z=RHS$

This assumes that you are familiar with the various properties and identities of Boolean Algebra.