Question

Select the Minterms you would use to implement the SOP equation for the truth table below.

A	B	C	Output
0	0	0	1
0	0	1	1
0	1	0	1
0	1	1	0
1	0	0	0
1	0	1	1
1	1	0	0
1	1	1	1

Options:
m0, m1, m2, m3, m4, m5, m6, m7

Answer 1

Ans: A minterm is a Boolean expression resulting in 1 for the output of a single cell, and 0's for all other cells in truth table. A minterm denoted as m$_{i}$ where 0 $\leqslant$ i $\leqslant$ 2^n , is a product of the n variables in which each variable is complimented if the value assigned to it is 0, and uncomplimented if it is 1.

select minterms for use to implement the SOP(sum of products) equation for given truth tables is:

Minterms: m0, m1, m2, m5, m7

SOP Expression for given truth table is:

Output F (mo, m, m2, m5, m) we know that C+c: 1 4 Bt B-1 A ABC AC A (8) A AAC output ABEAc