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Binary. Data Representation. Objectives. Know the key terms used in data representation Understand how computers count in binary Be able convert numbers up to 255 between denary (decimal) and binary. The basics. Computer hardware is made of electronic circuits .

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binary

Binary

Data Representation

objectives
Objectives
  • Know the key terms used in data representation
  • Understand how computers count in binary
  • Be able convert numbers up to 255 between denary (decimal) and binary
the basics
The basics
  • Computer hardware is made of electronic circuits.
  • The circuit pathways can have electricity flowing through them.
  • Electricity has two states:

On - 1

Off - 0

a little bit of maths
A little bit of maths

Denary

0

1

2

3

4

5

6

7

8

9

Binary

0

1

  • The number system that we use is called denary or base 10
    • This means that we have numbers from 0 to 9
  • Computers don’t have this because of the two states, so you can only ever have 1 or 0, this is called binary or base 2
    • If you have a 1 or a 0 its called a bit which stand for binary digit.

Binary Digit

Bit

memory sizes
Memory sizes
  • 0 or 1 = 1 Bit
  • 4 bits = nibble (This will be important later on!)
  • 8 bits = Byte
  • 1024 Bytes = 1 Kilobyte (Kb)
  • 1024 Kilobytes = 1 Megabyte (Mb)
  • 1024 Megabytes = 1 Gigabyte (Gb)
  • 1024 Gigabytes = 1 Terabyte (Tb)
how to convert to binary
How to convert to binary
  • You will needto know how to convert to binary (and also the other way)
  • You will only ever be asked to convert 8 bit

Each one goes up to the power of 2

128 64 32 16 8 4 2 1

The magic numbers

step by step converting to binary
Step by step – Converting to Binary

12864 32 16 8 4 2 1

  • Layout the magic numbers on your paper
  • Think greedy, and work from left to right
  • Go through each number and work out whether it goes into the number you are wishing to convert, if its no then you need to put a 0, if its yes then put a 1 underneath – we are converting 80

12864 32 16 8 4 2 1

Does 128 go into 80 - No

0

Does 64 go into 80 - Yes

0 1

Remainder - 16

Does 32 go into 16 - No

0 1 0

Does 16 go into 16 - Yes

0 1 0 1

We have converted everything just add 0s

0 1 0 1 0 0 0 0