# Combination Circuit

Question 1

1. Given the input waveforms for A, B and C. Draw the output waveform X for the OR gate for Figure 1 

Figure 1

2. Given the logic function

•  Implement the logic circuit for the expression: 
•  Construct its truth table 
•  Redraw the circuit using NOR gates only 

3. Simplify the following expressions using K-Maps

•  F(A,B,C,D) = ∑m(0,1,2,3,6,8,9,12,14,15) 
•  F(A,B,C,D) = ∑m(0,1,3,6,9,11,12,13) +∑d(4,10) 

4. Given the logic circuit shown in Figure 2.

•  Determine the output expression for the circuit 
•  Simplify expression in i. above using laws of Boolean Algebra. 

Figure 1

5. Write SOP for the Boolean Expression F = (A+B)(C+D)E 

6. Simplify the following expressions using laws of Boolean Algebra. Express your answer in SOP form 

7. Design full Subtractor. Implement the circuit using NAND gates only. 

8. Obtain the truth table for a combinational circuit that accepts a 3- bit ‘number and generates an output binary number equal to the square of the input number. 

9. Design a logic circuit that has three inputs, A, B, and C, and whose output will be HIGH only when a majority of the inputs are HIGH. 

10. Design a parity generator for a 4-bit word for an odd parity machine. 

11. Design a circuit that converts a 4-bit gray code to 8421BCD 

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