Homework 3 Solutions ECE 252

# Homework 3 Solutions ECE 252 - Homework 3 ECE 252 SPRING...

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Homework 3 ECE 252 SPRING 2008 Problem 1 Draw a logic circuit corresponding to the following logic expression. Your circuit must use only 2-input AND, 2-input OR, and NOT gates. Z = ((A OR B) AND (NOT (C AND D))) OR (NOT (A) AND (E OR F)) Problem 2 Consider a logic circuit which has four inputs A, B, C and D and an output Z. The output Z is 1 if and only if the total number of 1s among A, B, C and D is strictly greater than 2 (not equal). a. Draw a truth table for a logic circuit that performs this function. b. Write the logic expression corresponding to the circuit. Problem 3 For the transistor-level circuit in the figure below: a. Fill in the truth table. A B C D Z

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b. What is Z in terms of A and B? Write the logic expression corresponding to this circuit. (Note: what single logic gate has the same truth table?) Problem 4 a. Fill in the truth table for the logical expression NOT(NOT(A) OR NOT(B)). A B NOT(NOT(A) OR NOT(B))
0 0 1 1 0 1 0 1 b. What single logic gate has the same truth table? Write out the logic expression. (Hint: refer to Problem 3) c. What logic property does Problem 3 and 4 demonstrate? Problem 5 Draw circuits using AND, OR, and NOT logic gates to implement the following functions. The inputs are A, B, and the output is F. a. Implement the function where F is 1 only if A has the value 1 and B has the value 0.

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Homework 3 Solutions ECE 252 - Homework 3 ECE 252 SPRING...

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