Question

Let X = A . bar (BC) . Evaluate X for (a) A = 1 , B = 0 , C = 1, (b) A = B = C = 1 and ( c) A = B = C = 0.

Answer 1

Given:

X = A . bar (BC)

To find:

X for:

(a) A = 1 , B = 0 , C = 1,

(b) A = B = C = 1 and

(c) A = B = C = 0.

Solution:

(a) A = 1 , B = 0 , C = 1

• BC = 0 . 1 = 0
• bar (BC) = bar (0) = 1
• A . bar (BC) = 1 . 1 = 1
• X = 1

(b) A = B = C = 1

• BC = 1 . 1 = 1
• bar (BC) = bar (1) = 0
• A . bar (BC) = 1 . 0 = 0
• X = 0

(c) A = B = C = 0

• BC = 0 . 0 = 0
• bar (BC) = bar (0) = 1
• A . bar (BC) = 0 . 1 = 0
• X = 0

For (a) A = 1 , B = 0 , C = 1, X = 1

(b) A = B = C = 1,  X = 0

( c) A = B = C = 0, X = 0