Simplified Boolean equation for the following truth table is
2016
Simplified Boolean equation for the following truth table is
- A.
F = yz′ + y′z
- B.
F = xy′ + x′y
- C.
F = x′z + xz′
- D.
F = x′z + xz′ + xyz
Attempted by 77 students.
Show answer & explanation
Correct answer: C
First, identify the rows where F equals 1. These occur at inputs (0,0,1), (0,1,1), (1,0,0), and (1,1,0). In every case where F is 1, x differs from z.
Since y does not influence the output, we can ignore it. The relationship is F = x'z + xz', which represents the XOR function between x and z.
A video solution is available for this question — log in and enroll to watch it.