Design a $4-$bit processor which consists of $4$ data registers each of $4$ bits and an instruction register $($IR$)$ of $7$ bits. The first $3$ bits of the instruction tells which operation is to be performed, the next $2$ bits signifies the first register and the last two bits signifies the second register.

I$6-$I$4$ I$3-$I$2$ I$1$ I$0$

Operation Code $4-$bit register operand $1($R$1)4-$bit register operand $2($R$2)$

The following operations are performed by the processor.

Operation Code Operation Performed Description

$000$ R$1=$ A Load the contents of input A in to the register operand $1.$

$001$ R$1=$ R$2$ Move the contents of register operand $2$ in to register operand $1.$

$010$ R$1=$ R$1+$ R$2$ Add the contents of register operand $1$ and register operand $2$ and load in register operand $1.$

$011$ R$1=$ R$1-$ R$2$ Subtract the contents of register operand $2$ from register operand $1$ and load in register operand $1.$

$100$ R$1=$ R$1*$ R$2$ Multiply the contents of register operand $1$ and register operand $2$ and load in register operand $1$ and $2.($As the result is of $8$ bits$)$

$101$ R$1=$ R$1/2$i Divide the register contents of register operand $1$ with $2$i $($i is an input$)$ and load the result in register operand $1.$

$110$ R$1=$ R$1.$R$2$ Logical And the contents of register operand $1$ and register operand $2$ and load in register operand $1.$

$111$ R$1=$ R$1+$ R$2$ Logical OR the contents of register operand $1$ and register operand $2$ and load in register operand $1.$

Inputs: Clock Pulse $($CP$),7-$bits Instruction, A$,$ i

Output: Contents of each register