Digital logic design 3. Consider a system with four inputs a, b,c and d and output function F, such that F=1 iff (if and only if) a = 1 and at least one of the other inputs is 1.
a. Write a truth table for this circuit.
b. Write a Boolean function (let’s call it F) for the output of the circuit. Write the function as sum of minterms. No need to simplify the function.
c. Draw a circuit diagram to show how F could be implemented with AND, OR, and NOT gates.