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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
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Home Work 12
The problems in this problem set cover lectures C
a. Using truth tables, show that A 〈 B =( A + B )
b. Using K-Maps, simplify the following expression:
A B C Minterm (^0 0 0) A 〈 B 〈 C (^0 0 1) A 〈 B 〈 C (^0 1 0) A 〈 B 〈 C (^0 1 1) A 〈 B 〈 C (^1 0 0) A 〈 B 〈 C (^1 0 1) A 〈 B 〈 C (^1 1 0) A 〈 B 〈 C 1 1 1 A^ 〈 B 〈 C
c. Using K-Maps, simplify the following expression:
A 〈 B 〈 D + B 〈 C 〈 D + A 〈 B 〈 C 〈 D + C 〈 D
A B C D Minterm (^0 0 0 0) A 〈 B 〈 C 〈 D (^0 0 0 1) A 〈 B 〈 C 〈 D (^0 0 1 0) A 〈 B 〈 C 〈 D (^0 0 1 1) A 〈 B 〈 C 〈 D (^0 1 0 0) A 〈 B 〈 C 〈 D (^0 1 0 1) A 〈 B 〈 C 〈 D (^0 1 1 0) A 〈 B 〈 C 〈 D (^0 1 1 1) A 〈 B 〈 C 〈 D (^1 0 0 0) A 〈 B 〈 C 〈 D (^1 0 0 1) A 〈 B 〈 C 〈 D (^1 0 1 0) A 〈 B 〈 C 〈 D (^1 0 1 1) A 〈 B 〈 C 〈 D (^1 1 0 0) A 〈 B 〈 C 〈 D (^1 1 0 1) A 〈 B 〈 C 〈 D (^1 1 1 0) A 〈 B 〈 C 〈 D 1 1 1 1 A^ 〈 B 〈 C 〈 D