P5. (Boolean Algebra Circuit.(1)Transform the following Boolean equation in SOP form to POS form:Y = F(A, B, C, D) = ĀB + CD(2)Expand the following Boolean equation into a sum of minterms, where each minterm should have thethree input variables in their original or complement forms.Y = F(A, B, C) = AC + AB(3) Simplify the following Boolean equations using Boolean theorems. For each step in the minimizationprocess, show which theorem or axiom or method or definition is used to get there.Y = ABC + B + AC + B(4)Transform the following Boolean equation to an equation that only has 2-input NAND gate(s) and/or NOTgate(s). You are not required to draw a schematic.Y = A + B + C

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(1) Transform the following Boolean equation in SOP form to POS form: Y = F(A, B, C, D) = ĀB + CD

Database System Concepts

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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

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Question

P5. (
Boolean Algebra Circuit.
(1)
Transform the following Boolean equation in SOP form to POS form:
Y = F(A, B, C, D) = ĀB + CD
(2)
Expand the following Boolean equation into a sum of minterms, where each minterm should have the
three input variables in their original or complement forms.
Y = F(A, B, C) = AC + AB
(3) Simplify the following Boolean equations using Boolean theorems. For each step in the minimization
process, show which theorem or axiom or method or definition is used to get there.
Y = ABC + B + AC + B
(4)
Transform the following Boolean equation to an equation that only has 2-input NAND gate(s) and/or NOT
gate(s). You are not required to draw a schematic.
Y = A + B + C

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