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Binary Representation of Numbers

The number system is called binary because it allows only two symbols 0 and 1. Any combination of 0s and 1s is a valid integer. Any positive integer can be represented as a binary number. For example, the number 10 in decimal notation is written as 1010 in binary i.e. (10)$_{10}$ = (1010)$_2$. Binary system involving only two main components such as 0 and 1. We can represents numbers as binary. Lets us convert decimal numbers into binary numbers.

Decimal to binary conversion
Converting decimal to binary is a process of changing a base 10 of a number into a base 2. To convert decimal number into a binary number first we need to divide repeatedly the number by two.
For example: Convert 125 from decimal to binary.

Solution

 

=> (125)$_{10}$ = (1111101)$_2$

The radix 2 denotes a binary number.

A bit is a each digit in a binary number. The number 11101 is represented by 5 bits.
Below is the table shows the relationship between hexadecimal, decimal and binary:


 Hexadecimal  Decimal Binary Numbers
 0 0  0
 1 1  1
 2 2  10
 3 3  11
 4 4  100
 5 5  101
 6 6  110
 7 7  101
 8 8 1000
 9 9 1001
 A 10 1010
 B 11 1011
 C 12 1100
 D 13 1101
 E 14 1110
 F 15 1111

Related Calculators
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Binary Conversion Calculator Binary to Hex Calculator
 

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