Design a combinational circuit that transforms a $3-$bit binary number $1$ to $4$ into its $4(-2)(-1)$ code equivalent. $4(-2)(-1)$ code is a $3$ bit number that represents digits $(0-4).$ The bits are multiplied with $4,-2,-1$ respectively to obtain its decimal value. For example, the $4-2-1$ code equivalent for the digit $3$ is $(101),$ because $3=1*4+0*(-2)+1*(-1).$ The inputs will be the binary numbers $1$ to $4.$ The output will be its $4(-2)(-1)$ code equivalent