Convert this POS expression to a minimal SOP expression. (IA + BCHIA'B]-D{AB+CKAB-D")

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Convert this POS expression to a minimal SOP expression.
([A + BCX[A'B"]+D{AB+CKAB+D")
Transcribed Image Text:Convert this POS expression to a minimal SOP expression. ([A + BCX[A'B"]+D{AB+CKAB+D")
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Step 1

A boolean expression can be represented in two forms:
1. Sum-of-Products (SOP) form                          2. Product-of-Sums (POS) form

  • An expression is in Sum-of-Products form, if two or more AND functions ORed together i.e. when a boolean expression is represented as sum of minterms is known as SOP forms. Here minterm is a product of all literals within the logic system.
    For Example: ABC+A'B'C'
  • An expression is in Product-of-Sums form, if two or more OR functions ANDed together i.e. when a boolean expression is represented as product of maxterms is known as POS forms. Here maxterm is a sum of all literals within the logic system.
    For Example: (A+B+C)(A'+B'+C')
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