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Contents

Digital Electronics

Number Systems

Binary Number System Octal Number System Hexadecimal Number System Number System Conversions Binary Addition Binary Subtraction 1s Complement 2s Complement Signed Number Representation BCD Code Gray Code Excess-3 Code ASCII Code Error Detection Codes Hamming Code

Logic Gates

AND Gate OR Gate NOT Gate NAND Gate NOR Gate XOR Gate XNOR Gate Universal Gates NAND Universal Gates NOR Multi-Input Gates Buffer Gate TTL Logic Family CMOS Logic Family TTL vs CMOS Comparison Logic Level Interfacing

Boolean Algebra

Boolean Algebra Axioms Boolean Algebra Theorems De Morgan Theorem 1 De Morgan Theorem 2 De Morgan Applications Boolean Expression Simplification Canonical SOP Form Canonical POS Form Minterm and Maxterm Relationship K-Map 2 Variable K-Map 3 Variable K-Map 4 Variable K-Map Don't Care Conditions K-Map POS Simplification Quine-McCluskey Method Prime Implicant Chart

Combinational Circuits

Sequential Circuits

Memory & PLDs

ROM Architecture PROM EPROM and EEPROM SRAM DRAM SRAM vs DRAM Flash Memory PLA PAL CPLD FPGA Architecture FPGA vs ASIC

Digital System Design

Propagation Delay Setup and Hold Time Static Hazards Dynamic Hazards Glitches and Races Synchronous Design Principles Clock Skew and Jitter Asynchronous Circuit Design

Other Topics

Other Subjects

Analog Electronics Signals & Systems Control Systems Electromagnetic Theory Digital Communication Analog Communication Network Analysis Microprocessors VLSI Design Verilog HDL Power Electronics Embedded Systems DSP Electronic Devices

Section Progress13%

2 of 16 articles

Boolean Algebra Theorems

Absorption, consensus, idempotent, involution theorems.

Updated: 19 March 2026

12 min read

Boolean Algebra Theorems

Test your ability to apply absorption, idempotent, and consensus theorems to simplify expressions.

Question 1 of 3

Q1.Applying the absorption theorem, simplify: Y = A + AB

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De Morgan Theorem 2

Complement of sum equals product of complements (A+B)' = A'B'.

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Boolean Expression Simplification

Algebraic simplification step by step examples.

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Quine-McCluskey Method

Tabular minimization, prime implicants, essential PIs.

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K-Map 2 Variable

2-variable Karnaugh map, grouping rules, simplified expression.

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De Morgan Applications

Multi-variable De Morgan, bubble pushing, gate conversion.

4 min read

Boolean Algebra Axioms

De Morgan Theorem 1