Data Representation in Computer Systems

What is Binary Board

Binary

In computers data is represented by 0s and 1s.

This number system is called binary or base 2 number system.

It is called base 2 because there are only 2 unique numbers that can be used in this system.

Binary is represented by 1 or 0

1 = ON = TRUE

0 = OFF = FALSO

Why Binary?

Modern computers are digital where there are 2 possible states of ON and OFF.

ON is represented by 1

OFF is represented by 0

Computers are made of switches which can only have 2 states.

1 = ON = YES = TRUE

0 = OFF = NO = FALSE

Because we can only have 2 states, we use binary!

Digital

Denary to Binary

Denary to Binary
Binary System
Decimal to Binary

Hexadecimal

Hexadecimal

Decimal to Binary

Binary to Decimal

Binary to Hexadecimal

Hexadecimal to Binary

Decimal to Hexadecimal

Hexadecimal to Decimal

Bit, Nibble and Byte

bit-nibble-byte

How Computers Store Numbers

Character Representation

Two systems used for character representation:

  • ASCII – Uses 8 bits – 256 possible characters
  • Unicode – Uses 16 bits –  65536 possible characters

Pictures

Pixel is a tiny dot on a screen. Black and white images are represented by black and white pixels. 1 represents a black pixel and 0 represents a white pixel.

Metadata provides data about the image, such as:

  • created date
  • type
  • resolution
  • author

Sound

Sounds waves are analogue. To be represented in a computer, they need to be converted to binary. Sampling is when sound is recorded in intervals. These samples are then converted to binary. The closer the sampling intervals, the better the quality of the sound.

Hertz

  • Sample rates are measured in hertz.
  • 1 hertz = 1 sample/second

Data Compression

Compression is a process where the amount of data in a file is reduced for easier transfer and storage. Two main methods of data compression are lossy and lossless.