The $4-$to$-2$ encoder circuit takes four input signals $($A$,$ B$,$ C$,$ and D$)$ and produces two output signals $($Y$0$ and Y$1).$ The truth table for the $4-$to$-2$ encoder is as follows:

A B C D Y$1$ Y$0$

$000000$

$000101$

$001010$

$001111$

$010010$

$010111$

$011010$

$011111$

$100001$

$100101$

$101001$

$101101$

$110001$

$110101$

$111001$

$111101$

Use Python Language to solve the above problem.:

To implement this circuit, you will need to use logic gates such as AND gates, OR gates, and NOT gates. You can use physical components such as transistors or digital logic ICs, or use a simulation software such as Logisim or Tinkercad.

It's not possible to implement a hardware circuit using Python, but we can simulate the behavior of a $4-$to$-2$ encoder using Python code.

Cretae a Python function that takes four binary inputs $($A$,$ B$,$ C$,$ and D$)$ and returns a tuple with the two binary outputs $($Y$0$ and Y$1)$: