The dual of the Boolean expression A + B'C is:
Dual is obtained by swapping AND <-> OR and 0 <-> 1 while keeping variable literals unchanged. So A + B'C becomes A . (B' + C).
Find the number of Prime Implicants for the Boolean function F(A,B,C,D) = sum_m(0, 2, 8, 10, 12, 14, 1, 9).
Minterms: 0,2,8,10 -> (0,2,8,10) = B'D'. 8,10,12,14 -> (8,10,12,14) = AD'. 0,1,8,9 -> (0,1,8,9) = B'C'. Total PIs = 3.
What is the consensus term for the expression AB + A'C + BC?
By Consensus Theorem: AB + A'C + BC = AB + A'C. Here BC is the consensus term formed by combining B (from AB) and C (from A'C).
Which of the following statements about implementing a 2-input XOR using 2-input NAND gates are CORRECT?
$Four 2-input NAND gates implement XOR: X1=NAND(A,B), X2=NAND(A,X1), X3=NAND(B,X1), Y=NAND(X2,X3).$
Which statements about implementing a 2-input XNOR using 2-input NOR gates are CORRECT?
Four 2-input NOR gates are sufficient for XNOR, and NOR is functionally complete.