Integers

So far, we've seen how to convert numbers between bases.

How do we represent particular kinds of data in a certain (32-bit) architecture?

We will consider

integers

floating point

characters

What do we know about integers?

They can be represented in binary using the digits (bits) 0 or 1

The value N can be represented using K bits.

K = ceil (lg N)

Suppose we have 32 bits.

Then our numbers will be of the form

i = 31

N =

sum (bi * 2i)

where bi = 0 or 1

i = 0

This is called unsigned binary representation.