Page 96 - Computer Science V2.0 Class 11

4. Draw the logic circuit for the given expression:
Y = (UV' + U'W')
Ans.
U
V
Y

W

5. State De Morgan's laws.
Ans. DeMorgan's laws state that ∀ a, b ∈ S, where S = {0, 1}
(i) (a + b)' = a' ● b'
(ii) (a ● b)' = a' + b'

6. Draw the logic diagram for XOR and X–NOR gates
Ans. XOR Gate

X–NOR Gate

7. Draw the circuit diagrams for the following Boolean expressions using NAND gates only.
(i) Z = A(B + C)
1
(ii) Z = AB' + BC'
2
Ans. Z = A (B + C) Z = AB + BC
2
1
A A
Z 2
B Z
1 B

C C

8. Write the Sum of Product (SOP) form of the function F for the following truth table representation of F:
[AI 2013]

U V W F(U, V, W)
0 0 0 0
0 0 1 0
0 1 0 1
0 1 1 1
1 0 0 1
1 0 1 0
1 1 0 0
1 1 1 1

82 Touchpad Computer Science (Ver. 2.0)-XI