dld assignment.pdf - Digital Logic Design Dept of ECE KL...

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Digital Logic Design Dept. of ECE KL University, Guntur KL University, Guntur II/IV B.Tech I Semester, 2011-12 Digital Logic Design Home Assignment – I 1. Given the following Boolean function: ܨൌݔݕ ݖ൅ݔ ݕ ݖ൅ݓ ݔݕ൅ݓݔ ݕ൅ݓݔݕ a) Obtain the truth table of the function. b) Draw the logic diagram using the original Boolean expression. c) Simplify the function to a minimum number of literals using Boolean algebra. d) Obtain the truth table of the function from the simplified expression and show that it is the same as the one in part (a). e) Draw the logic diagram from the simplified expression and compare the total number of gates with the diagram of part (b). 2. Simplify the following Boolean expressions to a minimum number of literals: a) ݔݕ൅ݔሺݓݖ൅ݓݖ b) ݔݕ ൅ݕ ݖ ൅ݔ ݖ c) ሺܤܥ ൅ܣ ܦሻሺܣܤ ൅ܥܦ 3. Simplify the following Boolean functions using K-maps: a)
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