Decimal to Binary Converter
Convert decimal numbers to binary numbers easily and accurately.
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Table of Contents
Guide
How to Convert Decimal to Binary
To convert decimal to binary, we repeatedly divide the decimal number by 2 and use the remainders to form the binary number.
Steps to Convert:
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1Divide the decimal number by 2
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2Write down the remainder (0 or 1)
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3Repeat with the quotient until it becomes 0
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4Read the remainders from bottom to top
Example:
26 ÷ 2 = 13 remainder 0
13 ÷ 2 = 6 remainder 1
6 ÷ 2 = 3 remainder 0
3 ÷ 2 = 1 remainder 1
1 ÷ 2 = 0 remainder 1
Result: 11010
Decimal to Binary Conversion Table:
0 = 0
1 = 1
2 = 10
3 = 11
4 = 100
5 = 101
6 = 110
7 = 111
8 = 1000
9 = 1001
10 = 1010
11 = 1011
12 = 1100
13 = 1101
14 = 1110
15 = 1111
Examples
Common Examples
Example 1 Basic Numbers
0 = 0
1 = 1
2 = 10
Example 2 Common Values
4 = 100
8 = 1000
16 = 10000
Example 3 Mixed Numbers
26 = 11010
42 = 101010
255 = 11111111
Example 4 Larger Numbers
256 = 100000000
512 = 1000000000
1024 = 10000000000
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