11. (10 points) Design a combinational circuit that has four inputs (A, B, C, D) and...

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11. (10 points) Design a combinational circuit that has four inputs (A, B, C, D) and a set of outputs. The inputs represent the binary codes of the decimal digits expressed in 6-3-1-1 code. The outputs are expressed in 2's complement signed system and represent the result of the following equation: 2*Z-2, Where Z represents the number of inputs variables with values equal to one. Hint: Assume the outputs of the invalid 6-3-1-1 codes are don't care. a. Specify the minimum number of bits required to represent the output of the circuit described above. b. Build the truth table for the combinational circuit. c. Write down the standard SOP expression for each output. d. Use K-maps to simplify the outputs. If possible, express the outputs obtained from the k- maps using 2-input XOR gates and the minimum number of any additional other gates. e. Draw the logic diagram for each output. 11. (10 points) Design a combinational circuit that has four inputs (A, B, C, D) and a set of outputs. The inputs represent the binary codes of the decimal digits expressed in 6-3-1-1 code. The outputs are expressed in 2's complement signed system and represent the result of the following equation: 2*Z-2, Where Z represents the number of inputs variables with values equal to one. Hint: Assume the outputs of the invalid 6-3-1-1 codes are don't care. a. Specify the minimum number of bits required to represent the output of the circuit described above. b. Build the truth table for the combinational circuit. c. Write down the standard SOP expression for each output. d. Use K-maps to simplify the outputs. If possible, express the outputs obtained from the k- maps using 2-input XOR gates and the minimum number of any additional other gates. e. Draw the logic diagram for each output.

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a To represent the output of the circuit we need a minimum of 3 bits This is because the output can ... View the full answer