Question

The canonical expression of F(P, Q, R) = π (2, 5, 7) is ______.

Options

• (P + Q' + R) • (P' + Q + R') • (P' + Q' + R')

• (P • Q' • R) + (P' • Q • R') + (P' • Q' • R')

• (P' + Q + R') • (P + Q' + R) • (P + Q + R)

• (P' • Q • R') + (P • Q' • R) + (P • Q • R)

Answer 1

The canonical expression of F(P, Q, R) = π (2, 5, 7) is (P + Q' + R) • (P' + Q + R') • (P' + Q' + R').

Explanation:

Boolean expressions can be written as sums of products or products of sums, which we convert to binary and negate with 0 values.

(P + Q' + R) for 2(P = 0, Q = 1, R = 0)

(P' + Q + R') for 5(P = 1, Q = 0, R = 1)

(P' + Q' + R') for 7(P = 1, Q = 1, R = 1)