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Question 6 a) Design a combinatorial circuit that will be able to detect prime numbers given as input in binary. The input to the system will be any 4 bit binary number. The output of the circuit should be a single bit that will be 1 (high) if the input is a prime number and 0 (low) if the input is not a prime number. For example, if the input to the circuit is 0101 the output should be 1. Again if the input is 1010, the output should be 0. Major Topic Blooms Combinational logic Designation Score EV b) Implement the function below together with the don't care condition given below using only two NOR gates. Assume that both the normal and complement inputs are available. F(A,B,C,D) = m (1 3, 5, 6) d(A,B,C,D) = 2m (8, 10,14, 15) Major Tople Blooms Universal Gates Designation Score CR c) Design a function that will take a 3 bit binary number as input and the output will be "HIGH" if total number of is in input is less than or equal to total number of Os and "LOW" otherwise. Combinational Logic Circuit Designation Major Topic Blooms Score 6 CR