Operations on signed and unsigned integers

Operation	Signed integers	Unsigned integers	Remarks
Expanding the bit representation (Making the number larger)	Sign extension of binary vector	Zero extension of binary vector
Truncation	Truncating signed integers	Truncating unsigned numbers	This operation involves dropping the higher order bits which do not fit into the data size. For example, when truncating a $w$-bit number to a $k$-bit number, all bits starting with the $(k+1{)}^{\text{th}}$ bit are dropped
Addition	Adding signed integers	Adding unsigned integers
Negation	Negation of signed integers	Negation of unsigned integers
Multiplication	Multiplying signed integers	Multiplying unsigned integers	Bit level equivalence of unsigned and two-s complement multiplication

Sources

• Computer Systems - A Programmer’s Perspective

Related Notes

• Encoding signed integers as binary
• Encoding unsigned integers as binary
• Representing different data types in binary