Need a hex display and four binary switch

Example process: consider output Y. Let us break the value of Y into four parts (left to right, MSB to LSB) Y3Y2Y1 YO. By inspection, within our limited problem set, Y3=0 in all cases, similarly Y2 is also 0. Y1 is a 1 when the inputs DCBA are 0110, 0111, and 1000. In all other values of the inputs Y1 is a 0. YO is a 1 for inputs 0011, 0100, and 0101. In all other values of the inputs YO is a 0. DCBA XYZ X Y Z H Dec Bin Tern Bin Bin Bin Hex 0000000000000000000 1 00011 0000 0000 00011 0010 2 0000 0000 0010 0011 10 0000 0001 0000 0100 11 0000 0001 0001 5 010112 0000 0001 00102 6 0110 20 0000 0010 0000 7 011121 0000 0010 0001 8 1000 22 0000 0010 00102 9 1001 100 0001 0000 0000 10 1010 101 0001 0000 00011 0 Your task is to design the logic to create the correct outputs for Z from decimal 0 to 10 only. 3 of 4 Procedure You must complete the following steps: Z is compose of the four output bits Z3, Z2, Z1, & ZO. Create the equations for each of these outputs in terms of DCBA. Create the circuit to implement these terms using only 2-input gates as higher multiple input chips are not available today. You do not have to reduce or minimize the expressions but you can if you wish. Build and exercise the LogicWorks circuit that implements your design. Check that the results of your implementation are the same as the specifications