Question

Write the sum of products, the canonical product of sums, theminterm shorthand and the maxterm shorthand for the following:

F(A,B,C) = A'B'+ AB'C + A'B'C'

Answer 1

Answer:

SOP=AB'+B'C

POS=B'(A'+C)

Shorthand Minterms=m₀+m₁+m₅

Shorthand Maxterms=M₃+M₂+M₄+M₆+M₇

Explanation:

For the full explanation of this question refer to the image attached which is of the k-Map of F.As we can see in the k-map that there are only 3 ones.by making 2 pairs of 1 we get the SOP expression.

Rest of them are zero from there we will get the POS expression.

The one's in the k-map represent the Minterms and 0's represent Maxterms and the number written in the box is their respective minterm and maxterm number.Minterms are represented by m and maxterms are represented by M.