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1: Perform the indicated subtraction with the following unsigned binary numbers by taking the 2s complement of the subtrahend: (a) 1101010001 (b) 11110-1110 (c)

 

1: Perform the indicated subtraction with the following unsigned binary numbers by taking the 2s complement of the subtrahend: (a) 1101010001 (b) 11110-1110 (c) 11111101111110 (d) 101001 - 101 2: The following binary numbers have a sign in the leftmost position and, if negative, are in 2s complement form. Perform the indicated arithmetic operations and verify the answers. (a) 100111111001 (b) 001011100110 (c) 110001010010 (d) 101110 110111 Indicate whether overflow occurs for each computation. 3: Given the 16-bit operand 10101100 01010011, what operation must be performed and what operand must be used: (a) clear all odd bit positions to 0? (Assume bit positions are 15 through 0 from left to right.) (b) set the rightmost 4 bits to 1? (c) complement the most significant 8 bits? 4: A sequential circuit with two D flip-flops A and B, one input Y, and one output Z is specified by the following input equations: DA= BY+AY, DB = Y, Z = AB (a) Draw the logic diagram of the circuit. (b) Derive the state table. In addition to the given questions, the problems in part 2 of lab 4 must be completed as part of this homework.

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