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POS

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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**Question 4** Simplify the following logic expression generating a **Product-of-Sums (POS)** representation. \[ f(A, B, C, D) = \sum m(0, 2, 9, 11) \] --- Explanation: The task is to simplify the logic function \( f(A, B, C, D) \) given in the form of a minterm list \( \sum m(0, 2, 9, 11) \) into a Product-of-Sums (POS) form. This involves identifying the minterms corresponding to the numbers 0, 2, 9, and 11 in a truth table for the four variables and transforming the sum-of-products (SOP) form into a POS form. Each minterm is where the function evaluates to one, which will be complemented to derive the POS expression.
Transcribed Image Text:**Question 4** Simplify the following logic expression generating a **Product-of-Sums (POS)** representation. \[ f(A, B, C, D) = \sum m(0, 2, 9, 11) \] --- Explanation: The task is to simplify the logic function \( f(A, B, C, D) \) given in the form of a minterm list \( \sum m(0, 2, 9, 11) \) into a Product-of-Sums (POS) form. This involves identifying the minterms corresponding to the numbers 0, 2, 9, and 11 in a truth table for the four variables and transforming the sum-of-products (SOP) form into a POS form. Each minterm is where the function evaluates to one, which will be complemented to derive the POS expression.
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