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1. Suppose you were tasked to design a circuit that has four inputs which are to be interpreted as two nonnegative 2-bit integers each and

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1. Suppose you were tasked to design a circuit that has four inputs which are to be interpreted as two nonnegative 2-bit integers each and two outputs. The outputs are the nonnegative 2- bit binary integer that is the quotient of the two numbers. Since division is not defined when the denominator is zero, you do not care what the output value is in that case. Thus, you are working with a function that does integer division only (remainder ignored) and you do not care about the output when the divisor is zero. Let: the first 2-bit nonnegative binary number be X = X1 XO the second 2-bit nonnegative binary number be Y = y yo the output Z = X/Y = Z1 Zo a) Find the truth table that describes Z and zo. (10 pts) b) Determine the MSOP for 21 and Zo (5 pts) c) Determine the MPOS for Z. and Zo (5 pts)

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