Binary to Decimal Converter
Type binary and get decimal, with the sum of powers of two written out.
Works in your browser. Nothing you type is sent to us.
Converted in your browser, with whole numbers of any size. Nothing you type is sent to us.
Binary to Decimal Converter at a glance
- Price
- Free
- Data sent to us
- None, it runs in your browser
- Sign-up
- Not needed
- Bases
- 2, 8, 10, 16 and any from 2 to 36
- Size
- Whole numbers of any length
- Widths
- 8, 16, 32, 64 bits, two's complement
How to use Binary to Decimal Converter
- Type the numberType or paste it into the box for its base. The other boxes fill in as you type.
- Read the bitsThe bits are drawn below with their places; small numbers are written as a sum of powers of two.
- Pick a width if it mattersFor negative numbers or register values, choose 8, 16, 32 or 64 bits to see two's complement and the signed value.
Type or paste a binary number and see it in decimal at once, with each bit drawn under its place value and the working written out as a sum of powers of two, which is what a homework answer or a datasheet check needs. Hex and octal fill in too. Pick a width to read the bits as a signed number in two's complement.
How it works
Binary to Decimal Converter is a web page that does its work on your own device. Everything you type or choose is worked out by your browser and never sent to a server, so nothing is stored and there is nothing to delete. There is no account, no sign-up and no limit on how often you use it.
Doing it by hand
Write the powers of two over the digits from the right: 1, 2, 4, 8, 16 and so on. Add the ones under a 1. For 1010 1100 that is 128 + 32 + 8 + 4 = 172.
Questions
Why does 1111 1111 show as 255 and -1?
As an unsigned 8-bit number it is 255; read as signed two's complement it is -1. Both are shown when a width is picked.
Other shortcuts
Binary, Hex and Decimal Converter · Hex to Decimal Converter · Decimal to Binary Converter
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