EE320_hw2 - c F(A,B,C,D)=(0,1,2,8,9,12,13 d F(A,B,C,D)=(10,11,14,15 5 Design a combinational circuit using the minimum number of NOR gates and

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EE 320 – Homework #2 1. Construct a truth table for each of the following Boolean functions: a) AB+(BC)’ b) (AB)’(A+C)’ c) AB’+BC’ 2. Prove the following relations: a) (A+B)’(A’+B’)’=0 b) X+XY+XZ=X c) X+X’Y+(XY)’=1 3. Express the following functions in their canonical S.O.P and P.O.S form: a) F(A,B,C,D)=D(A’+B)+B’D b) F(A,B,C)=(A’+B)(B’+C) c) F(X,Y,Z)=(XY+Z)(Y+XZ)
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EE 320 – Homework #2 4. Simplify the following Boolean functions in S.O.P. and P.O.S. form by using K-MAP. Draw the logic diagrams. a) F(W,X,Y,Z)= (0,2,8,9,10,11,14,15) b) F(A,B,C,D)= (2,3,4,5,6,7,11,14,15)
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Unformatted text preview: c) F(A,B,C,D)= (0,1,2,8,9,12,13) d) F(A,B,C,D,)= (10,11,14,15) 5. Design a combinational circuit using the minimum number of NOR gates and inputs to realize the following functions. The circuit has four inputs A,B,C and D representing a decimal digit in BCD (A is the MSB) and a single output which is equal to 1 whenever the value of digit is less than 3 or more than 7. (Use K-MAP) 6. Design a combinational circuit that accepts a three-bit number and generates an output binary equal to the square of the input number....
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This note was uploaded on 02/27/2010 for the course ECE 320 taught by Professor Raminroosta during the Spring '10 term at CSU Northridge.

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EE320_hw2 - c F(A,B,C,D)=(0,1,2,8,9,12,13 d F(A,B,C,D)=(10,11,14,15 5 Design a combinational circuit using the minimum number of NOR gates and

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