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Given the Boolean function F below, reduce it to a simplest form using identity laws. Provide step-by-step activities along with the identity used at each step. F(X,Y,Z)= X’Y’Z + X’YZ + XY’Z + XYZ

Given the Boolean function F below, reduce it to a simplest form using identity laws. Provide step-by-step activities along with the identity used at each step. F(X,Y,Z)= X’Y’Z + X’YZ + XY’Z + XYZ

Database System Concepts
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
Section: Chapter Questions
Problem 1PE
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Given the Boolean function F below,  reduce it to a simplest form using identity laws.  Provide step-by-step activities along with the identity used at each step.

  • F(X,Y,Z)= X’Y’Z + X’YZ + XY’Z + XYZ
**Expression:** x'y'z + x'yz + xy'z + xyz = **Identity Applied:** This table is set up to show the process of applying identities to a Boolean expression systematically. The left column lists the original or intermediate expressions, while the right column is reserved for describing which Boolean identities have been used at each step. The table is empty in the "Identity applied" column, suggesting that it's intended for educational use where students or instructors fill in the steps of simplification.
Transcribed Image Text:**Expression:** x'y'z + x'yz + xy'z + xyz = **Identity Applied:** This table is set up to show the process of applying identities to a Boolean expression systematically. The left column lists the original or intermediate expressions, while the right column is reserved for describing which Boolean identities have been used at each step. The table is empty in the "Identity applied" column, suggesting that it's intended for educational use where students or instructors fill in the steps of simplification.
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