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A prime number is a natural number greater than 1 that cannot be formed by multiplying...

A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. Design and implement a NAND-only circuit that detects all the prime number from 0 to 7 (with zero included). You may use NOT gates (inverters) to invert the inputs alone, not the outputs. Fill out a truth table, derive the K-map, obtain the Boolean expression and draw the NAND-only logical circuit diagram for the output F. Hint: Use Sum-Of-Products SOP.

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