What is the output X of the following logic gate circuit?

Options

A. (A+B)+(A+C)
B. (A+`barB`).(`barA`+C)
C. (A.B) + (A.C)
D. (A+B) . (A+C)

Answer

D

Explanation

The outputs of the OR gates A + B and A+ C, become the inputs for the AND gate.
`:.` X = (A+ B) · (A+ C)