Question 1: Design a combinational circuit with three inputs, x, y, and z, and three outputs, A, B, and C. When the binary input is 0, 1, 2, or 3, the binary output is one greater than the input. When the binary input is 4, 5, 6, or 7, the binary output is one less than the input. Question 2: Design a code converter that converts a decimal digit from "8 4-2-1" code to BCD. Question 3: A combination circuit is specified by the following three Boolean functions: F1( A, B, C) = ( 2, 4, 7) F2( A, B, C) = (0,3) F3( A, B, C) = E (0, 2, 3, 4, 7) Implement the circuit with a decoder construction with NAND gates and NAND or AND gates connected to the decoder outputs. Use block diagram for the decoder. Minimize the number of inputs in the external gates