Assume that an instruction word is $8$ bits wide and each operand takes $2$ bits. In that context, How do

you encode an instruction set that has:

$($a$)3$ instructions with $3$ operand addressing?

$($b$)3$ instructions with $2$ operand addressing?

$($c$)3$ instructions with $1$ operand addressing?

$($d$)3$ instructions with $0$ operand addressing?

$($e$)$ Can you increase the number of instructions in any category without decreasing the numbers in

others?. Justify your answe