Problem: (6 points)Using a 3X8 decoder and external gates, design the combinational circuit defined by thefollowing three Boolean functions:F1 = x'yz' xzF2 = xy'z' x'yF3 = x'y'z' xyProblem: (8 points)An 8X1 multiplexer has inputs A, B, and C connectedto the selection inputs S2, S1, and S0, respectively.The data input 10 through 17 are as follows:I1 = I2 = 0; I3 = I7 = 1; I4 = I5 = D; and I0 = I6 = D'.3) Determine the Boolean function (in the simplest form) that the multiplexerimplements. (
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