2²ⁿ are the number of Boolean function that can be generated by variable. For example if n = 2 ⇒ 2^{22 = 24 = 16 function.}

Correct Option: B

2²ⁿ are the number of Boolean function that can be generated by variable. For example if n = 2 ⇒ 2^{22 = 24 = 16 function.}

This circuit work as monostable multivibrator Time period = T= 1·1 RC (seconds)
= 1·1 × 7·5 × 10³ × 0·1 × 10^–6 = 0·825 ms

Correct Option: B

This circuit work as monostable multivibrator Time period = T= 1·1 RC (seconds)
= 1·1 × 7·5 × 10³ × 0·1 × 10^–6 = 0·825 ms

Output of MUX, Q = A BC + AB + AB + AB
Multiply by (C + C) the term which contain no C term:
∴     C + C=1
Q = A BC + AB (C + C) + AB (C + C) + ABC (C + C)
or  Q = A BC + ABC + ABC + ABC + AB C + ABC + AB C
This can be simplified by K-map, from K-map
Q = A + B + C

Hence alternative (B) is the correct answer.

Alternative Method:

Output of Mux, Q = A BC + AB + AB + AB
or
Q = A (BC + B) + A (B+ B)
or
Q = A (B + C) + A {∵ BC + B = B + C}
or
Q = AB + AC + A {∵B + B = 1}
or
Q = AB + A +AC {∵ AB + A = A + B}
or
Q = A + B + AC
or
Q = AC + A + B
or
Q = A + C + B {∵ AC + A = A + C}
or
Q = A + B + C

Correct Option: B

Output of MUX, Q = A BC + AB + AB + AB
Multiply by (C + C) the term which contain no C term:
∴     C + C=1
Q = A BC + AB (C + C) + AB (C + C) + ABC (C + C)
or  Q = A BC + ABC + ABC + ABC + AB C + ABC + AB C
This can be simplified by K-map, from K-map
Q = A + B + C

Hence alternative (B) is the correct answer.

Alternative Method:

Output of Mux, Q = A BC + AB + AB + AB
or
Q = A (BC + B) + A (B+ B)
or
Q = A (B + C) + A {∵ BC + B = B + C}
or
Q = AB + AC + A {∵B + B = 1}
or
Q = AB + A +AC {∵ AB + A = A + B}
or
Q = A + B + AC
or
Q = AC + A + B
or
Q = A + C + B {∵ AC + A = A + C}
or
Q = A + B + C

From truth table if we form K map, we get

J = AB + AB = B (A + A) = B

Correct Option: C

From truth table if we form K map, we get

J = AB + AB = B (A + A) = B

Number of input = 6
Number of words = 2⁶ = 64
Hence alternative (C) is the correct answer.

Correct Option: C

Number of input = 6
Number of words = 2⁶ = 64
Hence alternative (C) is the correct answer.