Task $1$: Binary to Gray Code Converter $[30$ Marks$]$

A Binary to Gray Code Converter is a combinational circuit that converts a binary number into its equivalent Gray code.

Figure $1.$ Gray Code

$-$ Implement a $4-$bit Binary to Gray Code Converter using VHDL$.$

$-$ Develop the VHDL code for the converter and verify its simulation log and timing diagram.

$-$ Explain the working principle of the Binary to Gray code conversion.