Question

Q2 (20pts) Design a combinational ct that accepts an input 3-bit binary number (XYZ) and generates an output 4-bit binary number (ABCD) where output equal to the double of the input number. (a) Construct the truth table (b) State each output-bit as a function in sum of minterms (SOM) form: (c) State each output-bit as a function in product of maxterms (POM) form: ΠΜ(.) (d) Optimize the circuit using K-maps and find the simplified functions Show your work full-credit. Q3 (20pts) (a) Construct the truth table and draw the logic diagram of 2-to-4-line decoder (b) Design and implement 2-input XNOR function using above decoder. Q4 (20pts) (a) Construct the truth table and draw the logic diagram of 4-to-1-line multiplexer (b) Inplement the function F(A, B) = (A + B) (A + B) using above multiplexer. Q5 (20pts) Perform the following subtraction operations. Show your work full-credit (a) (01010100) (01000011)2 in unsigned 2's complement arithmetic. (b) (01000011)2 (01010100)2 in unsigned 2's complement arithmetic (c)(01010100)2 (01000011)2 in unsigned I's complement arithmetic. (d) (01000011)2 (01010100)2 in unsigned 1's complement arithmetic (e) (1010)2 (0101)2 in signed-magnitude arithmetic.

Answer 1

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