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---SIMPLIFICATION VIA BOOLEAN ALGEBRA--- 1.) Use boolean algebra to simplify the equation. SHOW YOUR WORK, one step per line. You should use only variable names, negation (with ``), AND (by putting terms next to each other), OR (with `+`), and parentheses. In addition, each line should start with an equal sign (`=`). The first step has been done for you to show how. As a hint, problem 1c requires De Morgan's Law. Example) f(Z,Y, X) = (!Z+Z)Y!X + !YX =Y!X + ! YX la) f(A,B,C) = !ZY!X + ZY!X + !YX = !A! BC +A!B!C + !ABC + !AB!C +A!BC

---SIMPLIFICATION VIA BOOLEAN ALGEBRA--- 1.) Use boolean algebra to simplify the equation. SHOW YOUR WORK, one step per line. You should use only variable names, negation (with ``), AND (by putting terms next to each other), OR (with `+`), and parentheses. In addition, each line should start with an equal sign (`=`). The first step has been done for you to show how. As a hint, problem 1c requires De Morgan's Law. Example) f(Z,Y, X) = (!Z+Z)Y!X + !YX =Y!X + ! YX la) f(A,B,C) = !ZY!X + ZY!X + !YX = !A! BC +A!B!C + !ABC + !AB!C +A!BC

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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---SIMPLIFICATION VIA BOOLEAN ALGEBRA--- 1.) Use boolean algebra to simplify the equation. SHOW YOUR WORK, one step per line. You should use only variable names, negation (with ``), AND (by putting terms next to each other), OR (with `+`), and parentheses. In addition, each line should start with an equal sign (`=`). The first step has been done for you to show how. As a hint, problem 1c requires De Morgan's Law. Example) f(Z,Y,X) = (!Z+Z)Y!X + !YX = Y!X + !YX = !ZY!X + ZY!X + !YX la) f(A,B,C) = !A!BC + A!B!C + !ABC + !AB!C + A!BC
Transcribed Image Text:---SIMPLIFICATION VIA BOOLEAN ALGEBRA--- 1.) Use boolean algebra to simplify the equation. SHOW YOUR WORK, one step per line. You should use only variable names, negation (with ``), AND (by putting terms next to each other), OR (with `+`), and parentheses. In addition, each line should start with an equal sign (`=`). The first step has been done for you to show how. As a hint, problem 1c requires De Morgan's Law. Example) f(Z,Y,X) = (!Z+Z)Y!X + !YX = Y!X + !YX = !ZY!X + ZY!X + !YX la) f(A,B,C) = !A!BC + A!B!C + !ABC + !AB!C + A!BC
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