Three-Variable Majority Function Using Only NAND Gates
Fault-tolerant systems and redundancy checks rely on consensus logic to resolve signal discrepancies. The three-variable majority voter outputs a high signal whenever two or more of its inputs are high.
| A | B | C | Y | |-----|-----|-----|-----| | 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 |
Constraints
- Use only NAND gates.
- Do not use AND, OR, NOT, or XOR gates.
Topics
Solve this problem
Place the gates, wire them up and watch the signals settle. Every submission runs on the same simulation engine that grades it.
This problem is part of Codiode Pro. The statement above is free to read.
The circuit builder and code editor need a desktop screen. On a phone, read the problem here and open it on a laptop to solve.