A new code called the x-code is defined as follows:
1. For any even number xₑ between 0000 and 1111 , the x-code is (ˣe/2).
2. The code is not defined for all odd numbers.
Desing a digital circuit that implements binary-to-x-code conversion. Show all the steps. Final circuit only will result in zero marks. Implement the circuit using a multiplexer with the lowest number of inputs possible.