Simplifying a short Boolean expression

93 Views Asked by At

\begin{align*} A’B + A’B’C + ABC’C’ + AB’ + AB’C’ &= A’B + A’B’C + ABC’ + AB’ + AB’C’ \\ &= A’(B +B’C) + ABC’ + AB’(C’+1) \\ &= ??? \end{align*}

I'm stuck after this. Please help me!!

1

There are 1 best solutions below

0
On

From the first line, I get the following Karnaugh-Veitch map:

enter image description here

The colored areas correspond to the terms of your equation.

Three blocks with two squares each suffice to cover the colored area:

$$A C' + A' B + B' C $$

An alternative expression:

$$A B' + B C' + A' C $$