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# TeachThem Limited - PowerPoint PPT Presentation

TeachThem Limited Welcome to our educational website Click here to enter The content of my pages were taken from: Seymour Lipschuts, “Essential Computer Mathematics”, chapters 1&amp;6 Computeach, “Stage One”, Chapter 3 Welcome to TeachThem TeachThem Maths for Computing Home

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### TeachThem Limited

Welcome to our educational website

The content of my pages were taken from:

Seymour Lipschuts, “Essential Computer Mathematics”, chapters 1&6

Computeach, “Stage One”, Chapter 3

Welcome to TeachThem

TeachThem Maths for Computing

Home

Our aim is to TeachYou in a simple and interactive way.

At TeachThem we work hard to find ways to bring knowledge to everyone at a click of a mouse.

You will find simple lessons with interactive exercises to help you test you progress. Of course we provide answers too… but no cheating!

Binary Numbers

Sets & Relations

Prepared by Maria Seme for TeachThem Limited

Binary Numbers

TeachThem Maths for Computing

Home

The Binary System

We are all familiar with the Denary number system based upon multiples of 10 – probably because we have 10 fingers to count on. The Denary system allows 10 individual digits which are 0 to 9. Any other number is built up using a combination of these ten individual digits.

Computers can only represent two numbers 0 (zero) and 1 (one). The number system based on just these two numbers is called Binary – which means two.

Each of the two digits in the binary number can represent any desirable numeric value.

[More explanation will be added below]

Binary Numbers

Sets & Relations

Prepared by Maria Seme for TeachThem Limited

Binary Numbers – exercises

TeachThem Maths for Computing

Home

To represent the Denary Value 47 in binary we view it as:-

Place values =

Binary =

Each 1 and 0 is multiplied by its own place value, and the results are added together:-

1 x 1 = 1

1 x 2 = 2

1 x 4 = 4

1 x 8 = 8

0 x 16 = 0

1 x 32 = 32

Total = 47

Binary Numbers

Sets & Relations

Binary only uses two digits, 1 and 0 and is often referred to as “base two”. Each place value can be seen as raised to the “power of” the position in the number.

2º 2¹ 2² 2³ 24 25

1 + 2 + 4 + 8 + 0 + 32

Prepared by Maria Seme for TeachThem Limited

Sets & Relations

TeachThem Maths for Computing

Home

Binary Numbers

Sets & Relations

a

b

Prepared by Maria Seme for TeachThem Limited

TeachThem Maths for Computing

Home

Here we will have answers to questions

Binary Numbers

Sets & Relations

Prepared by Maria Seme for TeachThem Limited

TeachThem Maths for Computing

Home