Binary to Decimal

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Quick answer

To convert binary to decimal, add the place values (1, 2, 4, 8, 16 …) wherever the digit is 1 — for example 1010 = 10. TryDevSnip's converter does it instantly and exactly, even for long bit strings, all in your browser.

Open binary → decimal converter

Binary to decimal chart

Binary	Decimal
1	1
10	2
100	4
1000	8
1010	10
1111	15
10000	16
100000	32
1100100	100
11111111	255

Reverse or related: decimal to binary · hex to decimal · decimal to hex · all bases

Worked example: 0b1011

Every positional number system works the same way — each digit is multiplied by the base raised to its position, counting from zero on the right. For 0b1011 in binary:

Digit	Place	Weight	Contribution
1	2³	8	8
0	2²	4	0
1	2¹	2	2
1	2⁰	1	1
Total (decimal)			11

Written in decimal that is 11.

Quick reference

Decimal	binary	decimal
1	1	1
2	10	2
4	100	4
8	1000	8
10	1010	10
16	10000	16
32	100000	32
64	1000000	64
100	1100100	100
128	10000000	128
255	11111111	255
256	100000000	256

Things that trip people up

Prefixes are notation, not value. 0b1010,0o12, 0xA and 10 can all denote the same quantity. Strip the prefix before parsing, or tell the parser which base you meant.
Leading zeros can change the base. In several languages a leading0 historically meant octal, so 010 parsed as 8 rather than 10. Passing an explicit radix avoids the whole class of bug.
Hex letters are case-insensitive. 0xff and0xFF are the same number; only presentation differs.
Grouping is for humans. Binary is usually read in nibbles of four (1111 1111) because each nibble maps to exactly one hex digit — which is why hex is the usual shorthand for binary data.

Frequently asked questions

How do I convert binary to decimal?

Give each binary digit a place value that doubles from right (1, 2, 4, 8, 16 …) and add the values where the digit is 1. For example 1010 = 8 + 2 = 10. Or paste it into the converter and read the decimal instantly.

What is 11111111 in decimal?

11111111 (binary) is 255 in decimal — eight 1-bits, the maximum value of one byte.

Does it handle long binary strings?

Yes. The converter uses BigInt, so 64-bit and longer binary values convert to exact decimals with no rounding.

Is my input uploaded?

No. TryDevSnip converts locally in your browser. Nothing you type is uploaded to our servers for processing.