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Decimal to Binary Formula

Decimal to binary conversion is a long process which is usually done by dividing the decimal number to 2. Continuous division of integers is carried out until the reminder reaches to 0 or 1. Note down all the reminders in reverse order and arrive at a binary number corresponding that is almost near to given decimal number.
 

Here are few decimal numbers and their corresponding binary numbers –

Decimal Numbers Binary Numbers
0 0000
1 0001
2 0010
3 0011
4 0100
5 0101
6 0110
7 0111
8 1000
9 1001
10 1010
11 1011
12 1100
13 1101
14 1110
15 1111

Solved Examples

Question 1: Convert 25 in to binary system?

Solution:

Given decimal number is 25.
Divide this number by 2 until the reminder is 0 or 1.
2 |   25
________
2 |   12……………1
________
2 |    6…………….0
________
2 |    3…………….0
________
1…………….1

So, the binary equivalent is,
(25)10 = (11001)2