Data representation - EduqasRepresentation of numbers

Binary data can represent numbers, graphics, sound and characters. It is then organised and manipulated differently. Data can also be stored in arrays, records or external files and go through validation or verification checks to ensure accuracy.

Part ofComputer ScienceUnderstanding Computer Science

Representation of numbers

Denary place values

In a computer, all is stored in form. A binary digit has two possible values, which are represented by the symbols 1 and 0.

Humans tend to use the number system. However, computers work in binary. Denary numbers must be converted into their binary equivalent before a computer can use them.

The denary system has ten symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. The value of each denary place value is calculated by multiplying the previous place value by ten.

So, the value of the number 124 in denary place values is actually:

Place value10,0001,000100101
Value00124
Place valueValue
10,0000
1,0000
1001
102
14

This gives (1 × 100) + (2 × 10) + (1 × 4) = 124.