Section 3 Chapter 15 - Binary arithmetic and fractions

Question 1

Overflow

Answer 1

An error that can occur with binary addition in which the result cannot be stored in the space provided and the last bit “overflows” out of the space

Question 2

Range of a twos complement number

Answer 2

-2^(n-1) to 2^(n-1)-1

Question 3

How two’s complement works

Answer 3

The first bit is negative

Question 4

Converting negative denary to twos complement

Answer 4

Work out the positive binary
Flip all the bits
Add 1

Question 5

Converting negative twos complement to denary

Answer 5

Flip the bits
Add 1
Convert to denary
Take the negative value of it

Question 6

How binary subtraction works

Answer 6

The numbers are added using twos complement and any overflow is ignored

Question 7

The method of representing fractions with binary

Answer 7

Fixed point numbers