Question: Assume a function that takes four inputs (a, b, c, d) that can only be a BCD codeword and produces an output x=1 only if

Assume a function that takes four inputs (a, b, c, d) that can only be a BCD codeword and produces an output x=1 only if the input BCD codeword is a prime number (2, 3, 5, 7). The function produces an output x=0, if the input BCD codeword is not a prime number. The output is considered dont care x for all the inputs that are not a valid BCD codeword.

a) Provide the list of all prime implicants.

b) Provide the list of all essential prime implicants.

c) Obtain a minimal sum-of-products for the function.

d) Represent the minSoP circuit using only 2-input NAND and 1-input NOT gates.

e) Provide the list of all prime implicates.

f) Provide the list of all essential prime implicates.

g) Obtain a minimal product-of-sums (minPoS) for the function.

h) Represent the minPoS circuit using only 2-input NOR and 1-input NOT gates.

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