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The following table shows positional weight of decimal number (724) .
10
Hundreds Tens Units
Weights 10 2 10 1 10 0
Real Value of each digit 7 × 10 2 2 × 10 1 4 × 10 0
Result 700 20 4
Binary Number System
The word binary comes from 'Bi' meaning two. We see 'bi' in words such as ‘bicycle‘ (two wheels) or
‘binocular’ (two eyes). The binary numbers have the base of 2.
Tech Fact
A single binary digit (like '0' or ‘1’) is called a ‘bit’. For example, 11010 is five bits long. The word
bit is made up of the words 'binary digit’.
Computers are made up of tiny parts like transistors and switches that can be either ON or OFF.
These two states are shown using the numbers 0 and 1, called binary digits. Every instruction given
to a computer is turned into these binary digits so the computer can understand and carry out the
task. This system of 0s and 1s is called binary language, which is the basic language that computers
understand.
A binary number is made up of only 0s and 1s.
Example of Binary Number: 110100
There is no 2, 3, 4, 5, 6, 7, 8 or 9 in Binary.
Name Size (bits) Examples
Bit 1 0 or 1 The decimal number system is based
on ten digits, likely influenced by the
Nibble 4 1001, 1011 number of human fingers.
Byte 8 11001001, 00110011
Word 16 1010101010101010, 1111000011110011
Tech Fact
If the last digit of a binary number is 1, the number is odd; if it is 0, the number is even.
For Example:
1101 represents an odd number (13)
10010 represents an even number (18)
Number System 9

