Q$2$ In a $b\text{'}$s complement system for base $b,$ a positive number has positive positional

weights, and a negative $n-$digit number carries an extra luggage of $-b^n.$ Just as the $2\text{'}$s complement

can represent negative numbers in binary, a $4\text{'}$s complement system can be designed to represent

negative numbers in base$-4.$ It can be readily proved that numbers beginning with $0$ or $1$ are

positive, whereas those starting with $2$ or $3$ are negative.

For the following addition example, please $(1)$ determine what the calculation corresponds to in

decimal, $(2)$ perform the addition using the column method in base$-4,$ and $(3)$ specify if there has

been an overflow.

$22+33+11$