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A bitcoin "brainwallet" is a secret passphrase you carry in your brain.
The Bitcoin Brainwallet Exponent Calculator is the second of three functions needed to calculate a bitcoin PRIVATE key. Roughly, checksum is the first 8 hex digits of sha256(sha256(0x80+sha256(passphrase)))
Note that this is a bash function, which means you have to type its name to invoke it
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