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Convertitive

Binary to Decimal Converter

1010 (bin) = 10 (dec)

Convert binary numbers to decimal numbers exactly, for any size. Convertitive parses your input as a BigInt — so 64-bit values, 256-bit hex strings, and even larger numbers round-trip without rounding. For quick reference: 1010 bin = 10 dec, and 11111111 bin = 255 dec.

10
Quick

How to convert binary numbers to decimal numbers

  1. Enter a value

    Type a binary integer in the From field. Allowed characters: 0 and 1.

  2. Read the decimal result

    The To field updates as you type. For example, the binary value 1010 equals 10 in decimal.

  3. Copy or share

    Use the copy button to grab the result. You can change either base from its dropdown without leaving the page.

Reference table

Fifty representative values. Every row is computed exactly by the same BigInt-based converter that powers the widget above.

Binary (bin)Decimal (dec)
00
11
102
113
1004
1015
1106
1117
10008
10019
101010
101111
110012
110113
111014
111115
1000016
1000117
1001018
1001119
1010020
1100024
1111131
10000032
10010036
10101042
11000048
11001050
11111163
100000064
1100100100
1111111127
10000000128
11001000200
11111111255
100000000256
111110100500
111111111511
1000000000512
11111010001000
11111111111023
100000000001024
1000000000002048
10000000000004096
100000000000008192
10000000000000016384
100000000000000032768
111111111111111165535
1000000000000000065536
1000000000000000000001048576

Frequently asked questions

How do I convert binary numbers to decimal numbers?
Enter your binary value above. Convertitive parses it as an arbitrary-precision integer and reformats it in decimal. The conversion is exact for any size — there's no float rounding.
What is 1010 in decimal?
1010 (binary) equals 10 in decimal.
Are negative numbers supported?
Yes, with decimal. Two's-complement representations for fixed-width binary/hex are not supported here — the converter treats negative as a sign on the absolute value.
What's the largest number I can convert?
Any size. Convertitive uses JavaScript BigInt, which has no fixed upper bound — 256-bit hex strings, 512-bit and bigger all round-trip exactly.
How many bits does the result take?
An n-digit number in base 2 needs roughly 1.00 × n bits to store. The exact bit length equals ⌈log₂(value + 1)⌉.
Is hex case-sensitive?
Hexadecimal accepts letters in either case; this conversion doesn't involve hex.
Are conversion factors exact?
Yes. Base conversion is integer-to-integer; there are no factors, no rounding, no precision loss.
Why would I convert binary numbers to decimal numbers?
Decimal is the human-friendly form. Converting from binary to decimal makes a value easy to compare, communicate, or paste into spreadsheets and calculators.

About binary and decimal

Binary (base 2)

Binary (base 2) represents numbers with two digits: 0 and 1. It is the native language of every digital computer because each digit maps directly to a transistor's on/off state. A group of 8 binary digits forms one byte, the smallest addressable unit in most modern hardware.

Decimal (base 10)

Decimal (base 10) is the everyday number system, using the digits 0 through 9. It is the default base for almost all human-facing numbers — from prices to phone numbers to scientific measurements.

Other base converters