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1. Design a combinational circuit with three inputs: x, y, 2 and three outputs: A, B, C, such that, When the binary input xyz represents the decimal digits 1, 3, or 4, the binary output ABC should represent the decimal digit that is 3 greater than the input: that is 4, 6, or 7 respectively. Similarly, when the binary input represents the digits 0 or 2, the binary output should represent the digit that is 2 greater than the input. The remaining three, binary representations of the decimal digits 5, 6, and 7 never occur. a) Start by drawing the truth table for the functions A, B, and C. b) Next, using K-Maps find all minimal forms of the three functions. c) Finally, draw a circuit with three inputs and three outputs, representing a minimal form of the functions.