solve all these problem please

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. A combinational circuit is defined by the following three Boolean functions: F1 = x'y't'+xz F2 = xy':'+x'y F3 = x 'y'z + xy Design the circuit with a decoder and external gates. Implement the following Boolean function with a multiplexer: F(A, B, C, D) - E(0, 1, 3, 4, 8, 9, 15)