Bitcoin — Private key → addresses

Summary

TypeAddress

Derivation

Step 1 — Decode private key

Hex:


  


  

    Step 2 — Public key (k·G)
    
Uncompressed (65 bytes, 04 || X || Y):

    
Compressed (33 bytes, 02|03 || X):

  


  

    Step 3 — Hash160
    

    
Hash160 of uncompressed pubkey:

    
Hash160 of compressed pubkey:

  


  

    Step 4a — Legacy P2PKH (uncompressed)
    
address = Base58Check(0x00 || hash160_uncompressed)

  


  

    Step 4b — Legacy P2PKH (compressed)
    
address = Base58Check(0x00 || hash160_compressed)

  


  

    Step 5 — P2SH-wrapped SegWit
    
redeemScript = 0x00 0x14 || hash160_compressed

    
script_hash = Hash160(redeemScript)

    
address = Base58Check(0x05 || script_hash)

  


  

    Step 6 — Native SegWit (P2WPKH, BIP-173)
    

    
address = bech32("bc", witness_version=0, hash160_compressed)

  


  

    Step 7 — Taproot (P2TR, BIP-86)
    

    
internal_key (x-only, 32 bytes):

    
t = tagged_hash("TapTweak", internal_key):

    
output_key = X(lift_x(internal_key) + t·G):

    

    
address = bech32m("bc", witness_version=1, output_key)