K Maps And Truth Tables-Programming For Aeronautical Engineering And Sciences-Assignment Solution, Exercises of Aeronautical Engineering

This is solution to assignment for Aeronautical Engineering and Computer Programming course. It was submitted to Prof. Chitraksh Gavde at Biju Patnaik University of Technology, Rourkela. It includes: Kmap, Table, Truth, Programming, Expression, Minterm, Simplify, Theorem, Sum, Distributive

Typology: Exercises

2011/2012

Uploaded on 07/20/2012

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Home Work 12
The problems in this problem set cover lectures C16
1.
a. Using truth tables, show that )( BABA +=
AB
A B BA
BA +)( BA +
001 1 1 0 1
011 0 0 1 0
100 1 0 1 0
110 0 0 1 0
b. Using K-Maps, simplify the following expression:
CBACBACBACBA +++
A B C Minterm
000 CBA
001 CBA
010 CBA
011 CBA
100 CBA
101 CBA
110 CBA
111
CBA
C/ AB 00 01 11 10
01 1
11 1
BCBACBACBACBA =+++
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Home Work 12

The problems in this problem set cover lectures C

a. Using truth tables, show that AB =( A + B )

A B A B A 〈 B A + B ( A + B )

b. Using K-Maps, simplify the following expression:

A 〈 B 〈 C + A 〈 B 〈 C + A 〈 B 〈 C + A 〈 B 〈 C

A B C Minterm (^0 0 0) ABC (^0 0 1) ABC (^0 1 0) ABC (^0 1 1) ABC (^1 0 0) ABC (^1 0 1) ABC (^1 1 0) ABC 1 1 1 A^ 〈 BC

C/ AB 00 01 11 10

A 〈 B 〈 C + A 〈 B 〈 C + A 〈 B 〈 C + A 〈 B 〈 C = B

c. Using K-Maps, simplify the following expression:

ABD + BCD + ABCD + CD

A B C D Minterm (^0 0 0 0) ABCD (^0 0 0 1) ABCD (^0 0 1 0) ABCD (^0 0 1 1) ABCD (^0 1 0 0) ABCD (^0 1 0 1) ABCD (^0 1 1 0) ABCD (^0 1 1 1) ABCD (^1 0 0 0) ABCD (^1 0 0 1) ABCD (^1 0 1 0) ABCD (^1 0 1 1) ABCD (^1 1 0 0) ABCD (^1 1 0 1) ABCD (^1 1 1 0) ABCD 1 1 1 1 A^ 〈 BCD

CD/ AB 00 01 11 10

A 〈 B 〈 D + B 〈 C 〈 D + A 〈 B 〈 C 〈 D + C 〈 D = D

A 〈 B 〈 C + A 〈 B 〈 C + A 〈 B 〈 C + A 〈 B 〈 C

C/ AB 00 01 11 10

= ( A 〈 B 〈 C + A 〈 B 〈 C + A 〈 B 〈 C + A 〈 B 〈 C )

= ( A + B + C )〈( A + B + C )〈( A + B + C )〈( A + B + C )