Design a 3 bit circuit that can detect prime numbers from 0 to 7 (Prime numbers are 2,3,5 and 7). There should be a single output line which would be 1 if the input number(binary) is a prime number, otherwise the output would be 0. a.) Derive the Truth Table. b.) Derive the boolean expression. c.) Minimize the boolean expression. d.) Draw the logic circuit. e.) Implement the logic circuit using PLA(Programmable Logic Array)