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P2. (10 pts) Design a logic circuit that has three input bits (A, B and C) and one output bit Y. The three input bits

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P2. (10 pts) Design a logic circuit that has three input bits (A, B and C) and one output bit Y. The three input bits together are interpreted as a binary number. Assume that C is the least significant bit and A is the most significant bit out of the three input bits ABC. For example, if A=1, B=0, C=1, then ABC is interpreted as a 3-bit input binary number with its value written as 5 in decimal format. Output Y is TRUE (i.e., 1) when the input binary number is a multiple of 3; otherwise Y is FALSE. For example, 6 is a multiple of 3. Note that 0 is also a multiple of 3. Provide a truth table of the logic circuit, and write a Boolean equation that describes the output Y in SOP form. You are not required to use k-maps method to simplify the equations. B C Y colo | 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1

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