2.3 Integer Arithmetic

Question 1

In unsigned addition, what does the compiler do if the sum overflows

Answer 1

subtract 2^w

Question 2

In unsigned addition, what is the range for the sum?
(When is the sum defined as overflow)

Answer 2

Less than 2^w or greater than 2^(w+1)

Question 3

unsigned negation formula

Answer 3

Question 4

In two’s-complement addition, what does the compiler do if the sum overflows

Answer 4

positive overflow: subtract 2^w
negative overflow: add 2^w

Question 5

Main thing to remember in multiplication

Answer 5

if the result is out of the range, truncate to the number of bits needed