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GATE CS 2026 Mastery Course
·
Module 4
Digital Logic and Computer Arithmetic
1
Number Systems & Signed Integers
Convert numbers between binary, octal, and hexadecimal, and represent signed integers using 1's and 2's complement.
2
Binary Arithmetic and IEEE 754 Floating-Point Representation
Perform fixed-point binary arithmetic and describe the IEEE 754 standard for floating-point representation.
3
Boolean Function Simplification and Canonical Forms
Simplify Boolean functions using algebraic laws and convert them to canonical Sum-of-Products (SOP) and Product-of-Sums (POS) forms.
4
Karnaugh Maps for Boolean Minimization
Minimize 2, 3, and 4-variable Boolean expressions using Karnaugh maps, including don't-care conditions.
5
Combinational Circuit Design and Analysis
Design and analyze combinational circuits like adders (ripple-carry, carry-lookahead), subtractors, and comparators.
6
Implementing Boolean Functions with Multiplexers and Decoders
Implement arbitrary Boolean functions using multiplexers and decoders.
7
Flip-Flops: Analysis and Differentiation
Analyze the behavior of SR, D, JK, and T flip-flops using excitation tables and differentiate between latches and flip-flops.
8
Counters and Shift Registers: Design and Analysis
Design and analyze synchronous and asynchronous counters and shift registers.
Previous module
Engineering Mathematics: Linear Algebra, Calculus & Probability
Next module
Computer Organization & Architecture