Demorgan's Theorem.. A.B=A+B A+B = AB Theorems and Postulate:- A+B=B+A A+B+C)=(A+B)+C A(B+C) AB+AC 1 A+0 = A A+1=1 A+A=A R=A A+A=1 A+B= A.B A+AB= A A+AB=A+B AB-BA A(BC)=(AB)C A+BC = (A+B)(A+C) A.0=0 A-1=A A.A-A A. A=0 A.B= A+B A(A+B)=A A(A+B)=AB 14. Prove that: AB(D+CD)+B(A+ ACD) = B ABC[AB+C (BC+AC)] + B = B (A+C AB+BC)=A+B

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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I need a solution for Boolean algebra equations and Boolean algebra abbreviations explained in the second image.
Demorgan's Theorem..
A.B=A+B
A+B = AB
Theorems and Postulate:-
A+B=B+A
A+B+C)=(A+B)+C
A(B+C) AB+AC
1
A+0 = A
A+1=1
A+A=A
R=A
A+A=1
A+B= A.B
A+AB= A
A+AB=A+B
AB-BA
A(BC)=(AB)C
A+BC = (A+B)(A+C)
A.0=0
A-1=A
A.A-A
A. A=0
A.B= A+B
A(A+B)=A
A(A+B)=AB
Transcribed Image Text:Demorgan's Theorem.. A.B=A+B A+B = AB Theorems and Postulate:- A+B=B+A A+B+C)=(A+B)+C A(B+C) AB+AC 1 A+0 = A A+1=1 A+A=A R=A A+A=1 A+B= A.B A+AB= A A+AB=A+B AB-BA A(BC)=(AB)C A+BC = (A+B)(A+C) A.0=0 A-1=A A.A-A A. A=0 A.B= A+B A(A+B)=A A(A+B)=AB
14. Prove that:
AB(D+CD)+B(A+ ACD) = B
ABC[AB+C (BC+AC)] + B = B
(A+C AB+BC)=A+B
Transcribed Image Text:14. Prove that: AB(D+CD)+B(A+ ACD) = B ABC[AB+C (BC+AC)] + B = B (A+C AB+BC)=A+B
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