Circuits / Combinational
3-Input Majority Voter (K-Map Minimal SOP)
Outputs 1 when at least two of (A, B, C) are 1. Minimized via Karnaugh Map to Y = A·B + B·C + A·C.
A 3-variable majority function: output 1 when ≥2 of 3 inputs are 1.
K-Map minimization yields minimal SOP: Y = A·B + B·C + A·C.
Three prime implicants: AB, BC, AC.
All three are essential for covering all minterms.
Tip: The K-Map shows three looping groups of two cells each.
01Z floatingE conflict (dashed)
| A | B | C | Majority |
|---|---|---|---|
| 0 | 0 | 0 | 0 |
| 0 | 0 | 1 | 0 |
| 0 | 1 | 0 | 0 |
| 0 | 1 | 1 | 1 |
| 1 | 0 | 0 | 0 |
| 1 | 0 | 1 | 1 |
| 1 | 1 | 0 | 1 |
| 1 | 1 | 1 | 1 |