BINARY to DECIMAL Converter

Convert binary to decimal instantly. Enter a value and get the exact decimal representation.

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Binary to Decimal Chart (8-bit)

Each bit position in an 8-bit binary number has a fixed place value. Add up the place values of every bit set to 1 to get the decimal number:

Bit positionPlace valueDecimal value
7128128
66464
53232
41616
388
244
122
011
———
0000000000
5000001015
100000101010
150000111115
320010000032
640100000064
10001100100100
12701111111127
12810000000128
20011001000200
25511111111255

Common 8-bit values, an 8-bit binary number can represent 0 to 255 (28 − 1):

BinaryDecimal
000000000
000001015
0000101010
0000111115
0010000032
0100000064
01100100100
01111111127
10000000128
11001000200
11111111255

How to convert binary to decimal step by step

Example: 101010 → decimal
1. Write the place values above each bit, right to left: 32, 16, 8, 4, 2, 1.
2. Multiply each bit by its place value: 1×32, 0×16, 1×8, 0×4, 1×2, 0×1.
3. Add the results: 32 + 8 + 2 = 42.
So binary 101010 = decimal 42.

Popular binary values converted

Step-by-step decimal conversions for the most searched binary numbers:

101111110101101010011011

How it works

Value in binary is parsed, then re-expressed in base 10 (decimal).

Examples

InputOutput
1010255

Frequently Asked Questions

How do I convert binary to decimal?

Repeatedly divide by 10 collecting remainders, or just use this tool, parsing and conversion happen instantly in your browser.

Are lowercase digits accepted?

Yes, both upper and lower case digits are parsed correctly.

Is any data uploaded?

No. Conversion runs entirely in your browser.

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