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We want to design a prime-and-divisible circuit which detects if inputs are prime numbers, or if they are divisible by 4. Let your inputs I3:0 represent the inputs. Design a circuit that outputs a variable P which is TRUE if the input is a prime number, and outputs a variable D which is TRUE if the input is divisible by 4. Give K-Maps and simplified Boolean equations for each output, and sketch a circuit that implements them.

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