Topics Covered in GATE ECE Digital Circuits
- Number systems: binary, octal, hexadecimal, BCD conversions, Gray code.
- Boolean algebra: theorems, De Morgan's laws, SOP and POS forms.
- Logic gates: AND, OR, NOT, NAND, NOR, XOR, XNOR and properties.
- K-map minimization: 3, 4, 5 variable maps with don't care conditions.
- Combinational circuits: half adder, full adder, subtractor.
- Multiplexers and demultiplexers: MUX-based universal logic design.
- Encoders, decoders, and priority encoders.
- Sequential circuits: SR, JK, D, T flip-flops, state and excitation tables.
- Counters: ripple, synchronous, modulo-N, sequence design.
- Shift registers: SISO, SIPO, PISO, PIPO and ring counters.