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Tutorial: Generate Bitcoin private and public keys
Section 1: Generate Private key
Step 1.1: Enter a passphrase.  
Passphrase:  
Step 1.2: Generate private key from passphrase using SHA256 algorithm. This is reversible back to the passphrase. 

SHA256 Private Key of Passphrase: (k)  ed3cb1d12f510dd4600410613f71071652639b0722eab550ab51befce0bcbd76 
Section 2: Encode Private Key
Step 2.1: Prepend the SHA256 private key with the version number , " 80 ". 

Step 2.2: Append the SHA256 private key with the compression flag, " 01 ". 

Step 2.3: Calculate and append the SHA256 private key with its checksum at the end, " 602653DA ". 

Structured Private Key: 
80
ed3cb1d12f510dd4600410613f71071652639b0722eab550ab51befce0bcbd76
01
602653DA

Step 2.4: Encode this structured private key with Base58 for easier readability. This is reversible back to the structured private key. This is the final private key. 

Base58 Encoded Structured Private Key:  L5AsLq5T7WEkxs2oALFCidHgkuRZB8NhabnfeiC7gPPo4L1QmTCd 
Section 3: Plot the Private Key
Step 3.1 Multiply the SHA256 private key of Passphrase (k) by the eliptic curve generator point.  
k_{pub} =  ed3cb1d12f510dd4600410613f71071652639b0722eab550ab51befce0bcbd76  *  
Step 3.2 Where the private key is charted on the eliptic curve, this has an x and y coordinate. 
x =  f5c33e2cdf69bbf27bb89e1c050fb645d4b06b87a06958842fd30a7cfa86294c 

y =  c7878ee08f69313713f1778a5936b2426e9e11f27bf859cf1d87d40cf3a821cf 
Section 4: Generate the Public Key
Step 4.1 Get the parity of the y coordinate. (An even parity is 02 and an odd parity is 03) 
y:  c7878ee08f69313713f1778a5936b2426e9e11f27bf859cf1d87d40cf3a821cf 

is ODD.  
ODD. Parity of y:  03 
Step 4.2 Prepend the parity of y to the x coordinate for the full public key representation.  
Full Public Key Representation: 
03
f5c33e2cdf69bbf27bb89e1c050fb645d4b06b87a06958842fd30a7cfa86294c

Step 4.3 Apply SHA256 to the full public key representation.  
Step 4.4 Then apply RIPEMD160 to the output of step 4.3 to create the hashed public key.  
Hashed Public Key: 
1aadd6e3649dba3532ce20f274a905bf96935676

Section 5: Encode the Public Key
Step 5.1 Prepend the hashed public key with the version number, 00.
(Different to the version number in step 2.1) 

Step 5.2 Calculate and append the hashed public key with its checksum at the end, 602653DA.
(Same as step 2.3) 

Structured Public Key: 
00
1aadd6e3649dba3532ce20f274a905bf96935676
602653DA

Step 5.3 Encode this hashed public key with Base58 for easier readability. This is reversible back to the structured public key. This is the final public key.  
Base58 Encoded Hashed Public Key: 
13S4pZZQdVBYeyKiXb2nozc7rWZSccQAjT

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