Question: Question 1 [25 points]: Consider the following four Boolean functions written in SOP minterms: f(x,y,z) = m3 + m6 + m7 g(x,y,z) = m0 +

Question 1 [25 points]: Consider the following four Boolean functions written in SOP minterms: f(x,y,z) = m3 + m6 + m7 g(x,y,z) = m0 + m2 + m4 + m6 + m7 h(x,y,z) = m0 + m1 + m2 + m3 k(x,y,z) = m7

a. Write the four functions in the SOP form in terms of x, y, and z.

b. Design a circuit with a single decoder and external OR gates.

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