Create a $2-$bit binary negative number system, which differs from the two's

complement system and the excess$-2$ system, which have been presented in the

lecture. However, this system needs to have a distinct sign bit $($either $0$ or $1$ for

positive or negative, respectively$).$

Give a binary code for the decimal numbers $-2,-1,0,+1$ in your "new" number

system in 'your' binary code. $($Hint: There are two more number systems with distinct

sign bit possible$).$

Is your number system better or worse than the two systems taught in the lecture?

Give reason for your answer, consider especially whether calculations work andwhether you can find a simple conversion rule!