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1. Simplify SOP form using Identities 2. Simplify SOP form using KMaps

1. Simplify SOP form using Identities 2. Simplify SOP form using KMaps

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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1. Simplify SOP form using Identities

2. Simplify SOP form using KMaps

sop equation is given in the image 

 

please solve it quick if you can

 

Boolean Identities Identity Name Identity Law Null (or Dominance) Law AND Form OR Form 1x = x 0+x= X Ox = 0 1+X = 1 Idempotent Law XX = X X+X = X Inverse Law XX = 0 X+X = 1 Commutative Law ху %3D ух X+y = y+X (ху)z %3D х(уz) x+yZ %3D (x+у)(х+2) x(у+2) %3D ху+Xz x(x+у) — х (xy) = X+ỹ Associative Law (X+y)+Z = X+(y+Z) Distributive Law = Absorption Law X+xy = X (X+y) = xỹ DeMorgan's Law Double Complement Law X= X
Transcribed Image Text:Boolean Identities Identity Name Identity Law Null (or Dominance) Law AND Form OR Form 1x = x 0+x= X Ox = 0 1+X = 1 Idempotent Law XX = X X+X = X Inverse Law XX = 0 X+X = 1 Commutative Law ху %3D ух X+y = y+X (ху)z %3D х(уz) x+yZ %3D (x+у)(х+2) x(у+2) %3D ху+Xz x(x+у) — х (xy) = X+ỹ Associative Law (X+y)+Z = X+(y+Z) Distributive Law = Absorption Law X+xy = X (X+y) = xỹ DeMorgan's Law Double Complement Law X= X
Bop= (75tayz+gZ)
Transcribed Image Text:Bop= (75tayz+gZ)
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