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Tutorial 3 Solution

# Tutorial 3 Solution - = AB A C AD(adjacency = A...

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EE 2000 Logic Circuit Design, Semester A, 2008/09 Tutorial 3 Solution Week 4 (22 nd , 24 th , 25 th September, 2008) Level 1: Review Questions Question 3: Implement the function f(A, B, C) = AC + BC’ by using NAND operators only. Answer: ) ( ) ( ) , , ( C B AC C B AC C B AC C B A f = + = + = f B C A Question 9: What is the logic which controls a staircase light associated with two switches A and B located at bottom and top of staircase respectively? Answer: XNOR (or XOR, depends on the design) Question 42: If a three-variable switching function is expressed as the product of maxterms by f(A, B, C) = Π M(0, 3, 5, 6) Answer: c) Σ m (1, 2, 4, 7) Level 2: Problems Question 13: a) Simplify the logic function f = AB + AC’ + C + AD + AB’C + ABC b) Simplify Boolean function F = A’C + A’B + AB’C + BC Answer: a) f = AB + AC’ + C + AD + AB’C + ABC = (AB + ABC) + AC’ + C + AD + (AB’C + ABC) (idempotency) = AB + AC’ + C + AD + AC (absorption, adjacency)

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