Calculator · 1 min
How many sats is that?
One bitcoin holds 100 million satoshi. Type an amount in euro, dollars, bitcoin or sats and see the other three units at once, the price of a single satoshi, and your share of every bitcoin that will ever exist.
Convert an amount
Type an amount and choose below what it is. The other three units follow instantly.
| Unit | Satoshi | Bitcoin |
|---|---|---|
| 1 bitcoin (BTC) | 100,000,000 | 1 |
| 1 millibitcoin (mBTC) | 100,000 | 0.001 |
| 1 bit (µBTC) | 100 | 0.000001 |
| 1 satoshi (sat) | 1 | 0.00000001 |
…
Price from a large trading venue in euro, updated every ten minutes, without warranty. Your own purchase price differs because of spread and fees.
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Note: The converter shows orders of magnitude at the current market price. It is not investment advice and not a basis for settling an account.
How the tool works it out
All four units hang on a single number: the bitcoin price in euro. The converter reads it from a file on this site that is rewritten every ten minutes with the price of a large trading venue. The dollar value comes from the same venue as its own pair, not through a detour. From your amount it first derives the bitcoin quantity (amount divided by price), and from that follow the satoshi (times 100,000,000) and the value in the other currency. Rounding happens only for the display; the arithmetic uses the full decimals.
Why satoshi exist at all
In the protocol, a bitcoin is not the smallest unit but the largest. Every quantity is held internally as a whole number of satoshi, and one bitcoin is 100,000,000 of them. The name goes back to the pseudonym Satoshi Nakamoto, who published the whitepaper in 2008 and produced the first block on 3 January 2009. The practical reason for the small unit is that a cup of coffee may one day cost 3,000 sats rather than 0.00003 BTC: people are bad at reading long strings of zeros after a decimal point.
| Unit | Satoshi | What it is meant for |
|---|---|---|
| Bitcoin (BTC) | 100,000,000 | prices, large amounts, balance sheets |
| Millibitcoin (mBTC) | 100,000 | historically for medium amounts, rare today |
| Bit (µBTC) | 100 | a proposal for everyday amounts, barely used |
| Satoshi (sat) | 1 | fees per byte, small payments, Lightning |
Where the converter stops
The price shown is a market price, not a purchase price. Anyone buying at a trading venue also pays the spread between the bid and the ask plus a fee, together usually between 0.1 and 2 per cent of the amount, and more for small amounts paid by card. So 100 euro buys slightly fewer sats than the converter shows. The price also moves constantly: up to ten minutes pass between two updates of the file, and bitcoin can move one per cent or more in that time. The converter is therefore a tool for understanding orders of magnitude, not a basis for settling an account.
Frequently asked questions
How many satoshi are in one bitcoin?
Exactly 100,000,000. The number is fixed in the protocol, because every bitcoin quantity is stored internally as a whole number of satoshi. A satoshi is therefore the smallest unit that can be moved on the blockchain itself.
Can I buy less than one bitcoin?
Yes. Trading venues sell fractions, often from a few euro upwards. Technically you are buying a number of satoshi. A whole bitcoin is not needed for most purchases.
Why does the price differ from the one in my app?
Every trading venue has its own order book price, and apps often show the selling price including the spread. The converter uses the last traded price of a large trading venue in euro and updates it every ten minutes. Differences of one to two per cent are normal.
What is the difference between a sat and a bit?
A bit is 100 satoshi, in other words a microbitcoin. The unit was proposed so that everyday prices could be written without long decimals, but it never caught on. Wallets and networks today count almost everything in satoshi.
Sources
- Bitcoin: A Peer-to-Peer Electronic Cash System (Whitepaper)Satoshi Nakamoto, 2008
- Bitcoin Vocabulary: Satoshi, Bit, Bitcoinbitcoin.org
- Units (Bitcoin Wiki)Bitcoin Wiki
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Further reading
BasicsBitcoin explained simply, from 2008 to 21 million
Bitcoin has run since 3 January 2009, writes a block every 10 minutes and ends at just under 21 million units. The figures, and who sets them.
BasicsBuying bitcoin in Germany: the first steps
Licensed providers, identification under German law, order types, costs and custody. And why the holding period of 1 year counts from the first purchase.