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Boolean algebra with examples, Assignments of Computer Science

Rashtrasant Tukadoji Maharaj Nagpur UniversityComputer Science

How to solve Boolean algebra with examples solve it. Boolean algebra is part of digital circuit and fundamental of microprocessors

Typology: Assignments

2020/2021

Uploaded on 06/17/2021

Nilesh2252
Nilesh2252 🇮🇳

1 document

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bg1
A
Poge
ASSignnent
Problems
Solue
Y=
ABC
(A
BCtABtAB)
y
AB
CA
BC
AGC
+ART)
ABC CBC A
ART
ABC
ABCA
C.
AG
C
tABCART
8cCAA)AC
t AB
CC)
SnCe
A A o
8.B
o
C
C=o
SImlarly
y=o
Sho A
+A
eE
ABC=T(Ati
L-HS
ABC+AT
+AC
&CA
+A)
+A
8T
cC(
-a).(Be)
Since
R+0=
RH-S
HP
pf3
pf4
pf5

Partial preview of the text

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A Poge

ASSignnent Problems

Solue Y=ABC^ (A^ BCtABtAB)

y AB CA BC AGC +ART)

ABC C BC^ A^ ART

ABC ABCA C. AG C tABCART

8cCAA)AC t AB CC) SnCe A^ A^ o 8.B o C C=o

SImlarly

y=o

Sho (^) A (^) +A (^) eE (^) ABC=T(Ati

L-HS ABC+AT +AC

&CA (^) +A) (^) +A (^) 8T

cC( -a).(Be) SinceR+0=

RH-S HP

XBA

a Solue.uy

(At)CA+ 0) (@t0, C0+D

Since1(At0)- (A+O

Simlarly CA+D (6+ (0 (B+ C).CG+ LHS CA+O^ CA+0) (80.CB+0)

CA+CD) (8 eD)

AB+ACD BCD+ C0CD

AB AcD tG DtCD

AB AcD^ tCD C AB ACp^ +^ CD A G+^ co^ C^ +A), AR t CD yEAB -C0 d y Ce+Bc^ (B-^ )(^ 8t0)Solu y 8+BO^ 8+0^ 8+ 6.8) +8^ B3^ R.Gc+BC^ Bc)0+0) B 0 +BC/to^ )^ (8D) CB R.CCR+ DD 8 B^ t^ B:D 8t 8D B (DtD+8D BD+0D+8D B0+8D

Dafe: Pagr Simplif (^) Y A (^) A8 (^) 8.AG = A A A88 AB AtAB B AB A (^) A (^) +B (^) AB A A CA+A)

Y CO ASDAB D+8D+eco +agio

&O (^) BD cD BO (^) RC D (^) CAtA D + 8D eD RcO BD_ ecD BD+8cp 80 CctD B D BD t BcD+ 8D BCD D ( 0) tBD TDI +LCD

GD CC+T) t D

I Y 04D

B D

Dete XTRAEOGE Poge

ABC B + CAA)

ABC +8Cce

ABC e

ACe ) A

ai ACB+) CB-tO)+A

A (8+)A AB O (^) AB (^) + (^) A.c (^) AB BCABAD L B AC

A C +

OR) (^) prove (^) (A+OgtAD(A+gD (^) (AB

LHS CA+R+AC) (A+) CA D

ACCOdmg to^ Demorgan i (^) la A B =CA+R) LA+G (^) AB (^) CAt8 CAT 8

since A A= o

.Ca+B tAB) (A+G) A = o

H-p