Build a 1:4 DEMUX from Two 1:2 DEMUXes
Data distribution networks and address decoders route a single source signal to multiple endpoints. The hierarchical demultiplexer expands a single data stream into distinct paths by cascading smaller routing elements.
Route the input D to one of four outputs based on the two-bit select bus formed by S1 (MSB) and S0 (LSB). All unselected outputs must remain driven to 0.
| S1 | S0 | D | Y3 | Y2 | Y1 | Y0 | |------|------|-----|------|------|------|------| | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 1 | 0 | 0 | 0 | 1 | | 0 | 1 | 0 | 0 | 0 | 0 | 0 | | 0 | 1 | 1 | 0 | 0 | 1 | 0 | | 1 | 0 | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 1 | 0 | 1 | 0 | 0 | | 1 | 1 | 0 | 0 | 0 | 0 | 0 | | 1 | 1 | 1 | 1 | 0 | 0 | 0 |
Constraints
- Construct the two-level hierarchy using exactly three 1:2 DEMUX components.
- Do not use any basic logic gates like AND, OR, or NOT.
- Combinational logic only.
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.