Digital Logic

4 articles in this topic

Flip-Flop Conversion for GATE: Excitation Tables and the SR, JK, D, T Conversion Recipe, Solved

Convert one flip-flop into another with the target transition, the available device's excitation table and a K-map. The solved JK-to-T case shows every row.

Updated 15 Jul 20265 min readDigital Logic

Sequential circuits: flip-flops, latches and counters explained

Sequential circuits for GATE: SR, D, JK and T flip-flops, excitation tables, latch versus flip-flop, and a fully worked synchronous counter design example.

Updated 14 Jul 20265 min readDigital Logic

Boolean algebra and K-map minimization: a worked GATE guide

K-map minimization becomes routine once you can read the groupings. This guide starts with the Boolean laws and DeMorgan's theorems, sets up SOP and POS forms, then traces a full 4-variable K-map, don't-cares included, the way GATE expects.

Updated 14 Jul 20265 min readDigital Logic

Number systems and base conversions: binary, octal and hexadecimal explained

Number systems for GATE: binary, octal and hexadecimal, base conversion, r's and (r-1)'s complement, signed representation, BCD and Gray code, worked.

Updated 14 Jul 20265 min readDigital Logic