Question

1. Design a circuit with three inputs (x, y, and z) representing the bits in a binary number, and three outputs (a, b, and c) also representing bits in a binary number. When the input is 0, 1, 6, or 7, the binary output will be the complement of the input. When the binary input is 2, 3, 4, or 5, the output is the input shifted left with rotate. (For example, 3 = 0112 outputs 110; 4 = 1002 outputs 001.) Show your truth table, all computations for simplification (using identities or K-map, your choice) and the final circuit.

2. James Smith has invested a huge amount of money into the stock market and doesn't trust just anyone to give him buying and selling information. Before he will buy a certain stock, he must get input from three sources. His first source is Pain Webster, a famous stock broker. His second source is Meg A. Cash, a self-made millionaire in the stock market, and his third source is Madame LaZora, world famous psychic. After several months of receiving advice from all three, he has come to the following conclusions:

a. Buy if Pain and Meg both say yes and the psychic says no.

b. Buy if the psychic says yes.

c. Don't buy otherwise.

Construct a truth table and find the minimized Boolean function to implement the logic telling James when to buy. Show the final circuit.

Answer 1

Hey there!

Here's the Truth table, K map and circuit diagram for both the questions.

Happy learning!

Question 1

QUESTION 4