Bases

Bases are the "types" of numbers we can increment. Think of them like different alphabets. You can increment all sorts of bases, even your own made-up custom ones.

Common Bases

• 2 Binary - 0s and 1s
• 8 Octal - 0-7 Was popular, but is not commonly used anymore
• 10 Decimal - 0-9 Our default number system
• 16 Hexadecimmal - 0-9 A-F Used in Hex Colors, Hashing, Cryptography
• 32 Hexatrigesimal - 0-9 A-Z The full alphanumeric alphabet (After 9, it goes to A, then every letter till Z and back to 0)
• Base 62 - 0-9 A-Z a-z Similar to Hexatrigesimal except it also contains lowercase alphabet as well
• Base 64 - Similar to Base 62 except additional characters are added like +/ Extremely popular, Hashing, Cryptography

For a good visual showing bases 2-36, please see the Table of Bases on Wikipedia.

Custom Bases

Change the Base Type to Custom Base and instantly define a custom alphabet to increment. The alphabet can contain special characters, including !@#$%^&*()_+=-. You can even use normal alphabets and just exclude certain letters. The order of characters in the alphabet matters; also the first character is treated like "0" in our decimal number system.

Example: Say you have defined a 5-character custom Alphabet of aB!9?. This is how it would look like when you start at a and increment with an interval of 1:

a  B  !  9  ?
Ba BB B! B9 B?
!a !B !! !9 !?
9a 9B 9! 99 9?
?a ?B ?! ?9 ??

Custom Base Examples
Here are some common custom bases you can copy/paste into the Alphabet input:

• Base 62 0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz
• Base 64 (A) ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789+/
• Base 64 (B) ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789-_

Base 64 Note
There are two versions of Base 64 noted here. Version A is the Standard Non-URL Friendly +/ Version Without = Padding. Version B is the Modified URL Friendly -_ Version Without = Padding.