About

In the domain of digital assets, precision is not a luxury; it is a necessity. A misplaced decimal point in a Bitcoin transaction is irreversible. This tool is engineered to bridge the gap between the atomic unit of the Bitcoin network, the Satoshi, and the human-readable BTC denomination. Unlike standard calculators that suffer from floating-point rounding errors, this engine utilizes integer-based arithmetic to guarantee 100% accuracy for up to 100 million Satoshis and beyond.

We address the specific need for developers and traders to visualize values across the entire denomination spectrum - from bits used in Lightning Network interfaces to mBTC common in gambling and micro-services. Furthermore, by integrating real-time market data, we translate abstract cryptographic integers into tangible fiat purchasing power, providing immediate context to the raw numbers.

Formulas

The relationship between the base unit and the currency is defined by a fixed ratio derived from the protocol's source code. The conversion does not use typical division to avoid precision loss, but rather decimal shifting on the string representation of the integer.

{

BTC = Satoshi10⁸mBTC = Satoshi10⁵bits = Satoshi10²

When calculating fiat value (V), we use the current market price (P) per Bitcoin:

V_fiat = Satoshi × P100,000,000

Reference Data

Unit Name	Symbol	Satoshi Count (sat)	Bitcoin Value (BTC)	Common Usage
Satoshi	sat	1	0.00000001	Base layer protocol, transaction fees.
Finney	-	10	0.00000010	Named after Hal Finney; rarely used.
Microbit (uBTC)	μBTC / bits	100	0.00000100	Lightning Network, micro-payments.
Millibit (mBTC)	mBTC	100,000	0.00100000	Old wallets, gambling sites.
Centibit (cBTC)	cBTC	1,000,000	0.01000000	Fractional ownership reference.
Decibit (dBTC)	dBTC	10,000,000	0.10000000	Significant holding benchmark.
Bitcoin	BTC	100,000,000	1.00000000	Standard exchange unit.
DecaBitcoin	daBTC	1,000,000,000	10.00000000	Institutional volume.

Frequently Asked Questions

Bitcoin protocols treat values as integers (Satoshis), while human interfaces use decimals (BTC). Standard calculators use floating-point math (IEEE 754), which can introduce tiny errors (e.g., 0.00000001 becoming 0.00000000999). In finance, these "dust" errors can cause transaction failures or accounting discrepancies.

These are sub-units. mBTC (Milli-Bitcoin) is 1/1,000th of a Bitcoin. uBTC (Micro-Bitcoin) is 1/1,000,000th of a Bitcoin. "Bits" is a slang term commonly synonymous with uBTC (100 Satoshis). They facilitate reading smaller amounts without counting leading zeros.

There are exactly 100,000,000 (one hundred million) Satoshis in 1 Bitcoin. This fixed supply cap means there will only ever be 21 million BTC, or 2.1 quadrillion Satoshis, in existence.

Yes. The tool connects to public market data aggregators (like CoinGecko or Binance) to fetch the live spot price every time you load the page or click "Refresh". If the API is unreachable, it defaults to a recently cached average to ensure the converter remains functional.