Combinational Logic

2-to-1 Multiplexer (Gate-Level)

Build a 2-to-1 multiplexer using only basic AND/OR/NOT gates instead of a behavioral assign statement.

4-to-1 Multiplexer

Select one of four single-bit inputs with a 2-bit select signal.

BCD to 7-Segment Display Decoder

Decode a 4-bit BCD digit into the seven segment-drive signals of a 7-segment display.

4-bit Priority Encoder

Report the bit position of the highest set bit in a 4-bit input, with a valid flag for all-zero input.

K-Map Simplification: Prime BCD Digit Detector

Use a Karnaugh map with don't-cares to derive a minimal two-term sum-of-products circuit for a prime BCD digit detector.

8-bit Magnitude Comparator

Compare two 8-bit unsigned values and report equal, greater-than, and less-than as three one-hot flags.

4-bit Barrel Shifter (Rotate Left)

Rotate a 4-bit value left by a variable amount using a combinational barrel shifter.