Which of the following is the simplified form of the given function. f(A,B,C)…

Given: f(A,B,C) = Σm(0,1,3,7)

Step 1: Write the minterms as product terms.

• m0 (000) = A'B'C'

• m1 (001) = A'B'C

• m3 (011) = A'BC

• m7 (111) = ABC

Step 2: Combine terms by factoring (or use a Karnaugh map).

• Combine A'B'C' + A'B'C = A'B'(C' + C) = A'B'.

• Combine A'BC + ABC = BC(A' + A) = BC.

Final simplified expression: A'B' + BC

This can be verified by checking that the simplified expression covers minterms 0, 1 (via A'B') and 3, 7 (via BC) and does not include other minterms.