Question

Use a Karnaugh map to minimize the following standard SOP expression:

A'B'C + A'B'C' + AB'C' + AB'C + A'BC

Answer 1

Answer:

The reduced expression is A'D'E' + B'C'D' + BCE + ACDE

Step-by-step explanation:

Step 1: A given 5-variable expression should be represented in a Karnaugh map. Also, the output should be a minimized expression.

Step 2:For representing a boolean expression using a 5-variable K-map, the mapping is performed with 32 (25) cells

Putting 1's in the specific cells, [see in attachment]

Step 3:After grouping and minimizing the expression,[see in attachment]

$X=A^{\prime} D^{\prime} E^{\prime}+B^{\prime} C^{\prime} D^{\prime}+B C E+A C D E$

The reduced expression is $A^{\prime} D^{\prime} E^{\prime}+B^{\prime} C^{\prime} D^{\prime}+B C E+A C D E$.

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