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Truth Table

Bengali: সত্যক সারণি•Pronunciation: ট্রুথ টেবিল•Symbol: \text{Table}(A, B \rightarrow Y)
Standard Definition:
A mathematical table used in logic to compute the functional values of logical expressions for every possible combination of inputs.

📐 Mathematical Equation, Units & Dimensions

Defining Mathematical Equation
Rows=2n (for n inputs)\text{Rows} = 2^n \text{ (for } n \text{ inputs)}
Standard SI Unit
Logical matrix(যৌক্তিক সারণি)
Dimensional Analysis
[M0L0T0][M^0 L^0 T^0]
CGS Unit
None

📖 Physical Concept & Comprehensive Explanation

A truth table maps all 2^n binary input states to their resulting output states for n input variables. It provides empirical verification for digital logic proofs and circuit specifications.

🎯 High-Yield Revision Points

  • ✓Total rows equal 2^n for n input variables.
  • ✓Primary diagnostic tool for validating digital logic functions.
  • ✓Constructed using permutations of 0 and 1.

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❓ Frequently Asked Exam Questions (FAQ)

Common questions in board and competitive entrance examinations

Q1: How many rows are in a truth table with 3 inputs?

A 3-input truth table requires 2^3 = 8 rows.

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