## Introduction

## CIE Floating Points

### CIE Floating Point Numbers Representation

In the paper 3 exam, CIE floating numbers take on a slightly different, simplified version of floating point numbers that **differs significantly** from the international standard.

The CIE format is usually as follows:

- 8 Bits Mantissa:8 Bits Exponent
- Each 8 bits are in Two’s Complement form
- 1 at the start of the mantissa indicates a negative number
- 1 at the start of the exponent indicates a negative exponent

Example

10100101 11010110

Two’s compliment

01011011 00101010

Denary

0.1011011

## Normalising

### Normalising Floating Point Numbers

## Over/Underflow

### Binary Overflow

### Binary Underflow

## IEEE754

### IEEE754 Floating Point Number International Standard

Note: This is not on the specification and you don’t need to know it for the exam but for general reference only.

## Resources

**Teacher Resources**

CIE A Level Floating Point Representation Presentation

Past Paper Questions

- Nov 2015 31 Qn 1
- Nov 16 31 Qn 1
- June 18 31 Qn1
- Nov 18 31 qn2
- June 19 31 Qn1
- Nov 19 31 Qn1