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1) Given the gate diagram shown, create the equivalent Boolean equation.

1) Given the gate diagram shown, create the equivalent Boolean equation.

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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1) Given the gate diagram shown, create the equivalent Boolean equation.

2) Create a truth table of the equation[Solution from #1]

3) Give Boolean equation in POS form from Truth Table in #2?

4) Give Boolean equation in SOP form from Truth Table in #2?

5) Simplify SOP form using Identities[Solution from #4]

6) Simplify SOP form using Identities[Solution from #4]

OR XOR XOR OR NOT N
Transcribed Image Text:OR XOR XOR OR NOT N
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
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