Find the min-term expansions

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Reference no: EM13699451

Question: A digital circuit has four inputs (A, B, C, D) and three outputs (X, Y, Z). A and B represent the first and second bits of a binary number N1 (i.e. A is the most significant bit). C and D represent the first and second bits of a binary number N2. XY represents a binary number whose value equals the quotient of dividing N1by N2.

The Z output is 1 iff there is a division by zero. For example if ABCD = 1110 (i.e. in decimal N1 = 3 and N2 = 2) then XY = 01 (i.e. quotient is 1) and Z = 0 (since there is no division by zero).

Find the min-term expansions for X, Y, and Z (i.e. the standard SOP expression of each). Use short-hand notation in your final answer (e.g. Sum of min-terms (1, 4, 6)).

Reference no: EM13699451

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