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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

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