Design a combinational circuit with four inputs, w, x, y, and z, and four outputs, A, B, C and D. When the binary input is 0, 1, 2, 3, 4,5,6 the binary output is two greater than the input. When the binary input is 7,8, 9, 10, 12,13,14,15 the binary output is three less than the input. a) Derive the Boolean expressions for four outputs A, B, C and D.. Evaluate the outputs as a function of the four inputs. (b) List the truth table with 16 binary combinations of the four input variables w, x, y, and z. (c) Draw the logic gate circuit. (d) Write Gate Level HDL code for the corresponding to the logic gate circuit

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