Q. The following function is implemented using 4 X 1 MUX, with 'a' and 'b' as select lines.
Given
F(a, b, c) = Σm(1, 3, 5, 6)
A 4×1 MUX is used with a and b as select lines.
Step 1: Truth Table
| a | b | c | Minterm | F |
|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 1 | 1 |
| 0 | 1 | 0 | 2 | 0 |
| 0 | 1 | 1 | 3 | 1 |
| 1 | 0 | 0 | 4 | 0 |
| 1 | 0 | 1 | 5 | 1 |
| 1 | 1 | 0 | 6 | 1 |
| 1 | 1 | 1 | 7 | 0 |
Step 2: Determine MUX Inputs
For ab = 00 (I₀): F = c → I₀ = c
For ab = 01 (I₁): F = c → I₁ = c
For ab = 10 (I₂): F = c → I₂ = c
For ab = 11 (I₃): F = c̄ → I₃ = c̄
Step 3: Final Mapping
I₀ = c, I₁ = c, I₂ = c, I₃ = c̄
Answer
Correct Option: B