Digital Logic
16 articles in this topic
Number System in Digital Electronics: Base Conversion, Complements and Binary Arithmetic
Learn one dependable method for positional values, decimal fractions, binary grouping, complements, subtraction and signed overflow, with every step checked.
Boolean Expressions in Digital Electronics: Laws, Canonical Forms and Worked Simplification
Learn one Boolean function from notation to truth table, canonical forms, simplification and NAND gates, with checks that expose common errors.
Sequential Circuits in Digital Electronics: Flip-Flops, Registers and a Worked Mod-4 Counter
Learn to trace sequential logic edge by edge, then design and verify a two-bit synchronous counter using state tables, D-input equations and timing constraints.
Number Representation in Digital Electronics: Conversions, Complements and Worked Examples
Learn number representation through exact conversions, signed encodings, binary arithmetic, special codes, fixed point and IEEE 754 worked examples.
Logic Gates in Digital Electronics: Truth Tables, Boolean Expressions and Worked Examples
Learn the seven basic logic gates, build and minimise a complete three-input truth table, then implement the result using only NAND gates. Hardware bubbles and delay paths are included.
Digital Systems and Boolean Algebra Basics: Complete Guide with a Worked Example
Connect bits, truth tables, Boolean laws, canonical forms, K-maps, and gates by following one three-input function from specification to a simplified circuit.
Digital Electronics for GATE: Official Syllabus Map, Weightage Logic and Prep Order
Turn the compact GATE CS Digital Logic syllabus into a practical study sequence, then learn how to audit past-paper weightage without treating it as a forecast.
Combinational Circuits in Digital Electronics: Design, MUX, Decoders and Worked Examples
Learn a repeatable method for converting a logic specification into a verified combinational circuit, then apply it to adders, multiplexers, decoders, parity and hazards.
Boolean Minimization in Digital Electronics: Laws, K-Maps and Worked Examples
Learn to reduce Boolean expressions with auditable algebra, legal K-map groups, don't-cares, and truth-table checks. Includes complete SOP and POS examples.
Shift Registers, Ring and Johnson Counters for GATE: Frequency Division and Timing Numericals Solved
Build a 4-bit ring counter and Johnson counter state by state, then use their mod values to solve frequency-division and maximum-clock questions.
Universal Gates for GATE: Realizing Any Function with Only NAND or Only NOR, and Counting the Minimum Gates
Turn SOP into NAND-only and POS into NOR-only circuits, count every gate, and learn the exact two-input counts for AND, OR, XOR and XNOR.
Multiplexer Realization for GATE: Implementing Any Boolean Function with a Smaller MUX, Solved
Learn why a smaller MUX is enough for a Boolean function, then wire a complete 4:1 example without guessing any data input.