hw1 - Problem 4 (2 pts): Prove the following Boolean...

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GEORGIA INSTITUTE OF TECHNOLOGY SCHOOL of ELECTRICAL and COMPUTER ENGINEERING ECE 2030 Fall 2005 Problem Set #1 Assigned: 30-Aug-05 Due Date: 08-Sep-05 This assignment is due at the beginning of class on Wednesday, September 8 (remem- ber, Monday is labor day). Problem 1 (2 pts): Build a truth table for the following: a. F = ( a + b ) c b. F = c + ( c + a ) b c. F = a b d. F = a ( b + c d + c f ) Problem 2 (2 pts): Draw a transistor-level schematic for the following Boolean functions. a. F = ( a + b ) c b. F = c + ( c + a ) b c. F = a b d. F = a ( b + c d + c f ) Problem 3 (2 pts): Prove DeMorgan’s Law for two inputs and for three inputs.
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Unformatted text preview: Problem 4 (2 pts): Prove the following Boolean equations using algebraic manipulation: a. a b + a c d + a b c d = b + a c d b. Given that AB = 0 and A + B = 1, prove BC + A B + AC = A + C Problem 5 (2 pts): For each pull-up/pull-down network below, give the Boolean expression and draw its pull-down/pull-up network. F F F a b c d a b c d f g a b c d (a) (b) (c)...
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hw1 - Problem 4 (2 pts): Prove the following Boolean...

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