Question: Consider the following four Boolean functions written in SOP minterms: f(x,y,z) = m3 + m6 + m7 g(x,y,z) = m0 + m2 + m4 +

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

  1. Write the four functions in the SOP form in terms of x, y, and z.
  2. Design a circuit with a single decoder and external OR gates.

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