I am currently reading a textbook and I can't seem to understand what the examples in the book did. I do believe it is an error with the book, but if not can someone explain?
How come there is no negative sign in front of the final result?
arithmeticbinarydecimal-expansiondiscrete mathematics
I am currently reading a textbook and I can't seem to understand what the examples in the book did. I do believe it is an error with the book, but if not can someone explain?
How come there is no negative sign in front of the final result?
Best Answer
$-2_{ten}=\begin {cases}-000000...000010_{two} \ \ \text{in signed binary}\\ \ \ \ 11111111...1110_{two} \ \ \text {in 2's complement binary}\\ \end{cases}$
In $2$'s complement binary the sign is expressed by the leading $1$'s.
Taking the absolute value of a negative number (leading $1$'s) in $2$'s complement binary is flipping the bits and then adding one.