draw a logic circuit diagram for the following boolean expression X'. (Y'+Z)
Answers
Answer: (a) A'C' + ABC + AC' = C' + ABC = (C + C')(C' + AB) = AB + C'
(b) (x'y' + z)' + z + xy + wz = (x'y')'z' + z + xy + wz =[ (x + y)z' + z] + xy + wz =
= (z + z')(z + x + y) + xy + wz = z + wz + x + xy + y = z(1 + w) + x(1 + y) + y = x + y + z
(c) A'B(D' + C'D) + B(A + A'CD) = B(A'D' + A'C'D + A + A'CD)
= B(A'D' + A + A'D(C + C') = B(A + A'(D' + D)) = B(A + A') = B
(d) (A' + C)(A' + C')(A + B + C'D) = (A' + CC')(A + B + C'D) = A'(A + B + C'D)
= AA' + A'B + A'C'D = A'(B + C'D)
2.5 F' = (x + yz)' = x'(yz)' = x' (y' + z')
FF' = x x'(y' + z') + yz x'(y' + z') = 0
F + F' = x + yz + (x + yz)' = A + A' = 1 with A = x + yz
2.6 (a) (y’ + x’y)’=y(x+y’) b) ((AB’ + C)D’ + E)’=((A’+B)C’+D)E’
(c) ((x + y’ + z) (x’ + z’) (x + y))’=x’yz’+xz+x’y’
2.8
x
Step-by-step explanation: Please mark me the brainleist