A combinational circuit with three inputs (A, B and C) generates the 2’s complement of the input binary number as output (Note: The number of output bits may be one more than input bits). (a) Obtain the truth table (Take output as W, X, Y, Z). (b) Obtain the simplified output function in sum of products form. (c) Draw the logic diagram for simplified output function. (d) Design the circuit using decoder also.

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter22: Sequence Control
Section: Chapter Questions
Problem 6SQ: Draw a symbol for a solid-state logic element AND.
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A combinational circuit with three inputs (A, B and C) generates the 2’s complement of the input binary number as output (Note: The number of output bits may be one more than input bits).

(a) Obtain the truth table (Take output as W, X, Y, Z).

(b) Obtain the simplified output function in sum of products form.

(c) Draw the logic diagram for simplified output function.

(d) Design the circuit using decoder also.

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