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Logic Circuit Problem #3 Given the following logic function: F(a,b,c,d) = ? m(0,3,7,9,11,13,15)+?d(4,6,8) use a Karnaugh...

Logic Circuit

Problem #3

Given the following logic function: F(a,b,c,d) = ? m(0,3,7,9,11,13,15)+?d(4,6,8) use a Karnaugh Map to, a) Find a minimal SOP expression Answer: F(a,b,c,d) = b) Find a minimal POS expression

Answer: F(a,b,c,d) =

Problem #4

Implement the function F(a,b,c,d) given in problem #3 using two 3-to-8 decoders, both active low enabled and active low output. F(a,b,c,d) = ? m(0,3,7,9,11,13,15)+?d(4,6,8)

Answer:

Problem #5

Implement the function in the previous problem: F(a,b,c,d) = ? m(0,3,7,9,11,13,15)+?d(4,6,8), using a single 4 input multiplexer, active low enabled. Minimize the discrete gate count at the multiplexer inputs.

Answer:

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