In the given figure, find the value of (X0, X1, X2, X3) to realise the function F = A + C

Concept:

The circuit consists of three 2:1 multiplexers. The goal is to realize the function:

F = A + C

Step-by-step Analysis:

1st MUX: Select line = A Inputs = X₀ and X₁ Output = A = A·X₁ + A'·X₀

To get A as output, set: X₀ = 0 (when A=0 → output 0), X₁ = 1 (when A=1 → output 1)

⇒ So, A = A

2nd MUX: Select line = B Inputs = X₂ and X₃ Output = C = B·X₃ + B'·X₂

To get constant output 1 regardless of B, set: X₂ = 1, X₃ = 1

⇒ So, C = 1

3rd MUX: Select line = C Inputs = A and 1 Output = F = C·1 + C'·A = A + C

Final Values:

• X₀ = 0
• X₁ = 1
• X₂ = 1
• X3 = 1

Answer: Option 4) (0, 1, 1, 1)