Base 10 to Base 36

base-10

• Definition: Base-10, also known as the decimal system, is the standard numeral system used by most people for everyday counting and calculations. It is based on ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

• Symbol: The symbol for base-10 is typically denoted as “10” or simply understood through the context of decimal numbers.

• Usage: Base-10 is utilized in various applications, including mathematics, finance, and everyday counting. It is the most widely used numeral system in the world.

base-36

• Definition: Base-36 is a numeral system that uses thirty-six distinct symbols to represent numbers. It includes the digits 0-9 and the letters A-Z, where A represents 10, B represents 11, and so on up to Z, which represents 35.

• Symbol: Base-36 is often denoted as “36” or indicated through its alphanumeric representation.

• Usage: Base-36 is used in various scenarios, such as in encoding systems, compact representations of data, and in certain programming languages where a larger base can simplify data representation.

Origin of the base-10

• Base-10 has its roots in ancient civilizations, particularly in the counting systems of the Egyptians and the Babylonians. Its prevalence in human culture is likely because humans have ten fingers, which naturally led to the development of a counting system based on ten.

Origin of the base-36

• Base-36 emerged as a practical solution for efficiently representing large numbers in a compact format. It combines both letters and digits, allowing for greater versatility in data encoding and is particularly useful in computing, where larger bases can reduce the length of representation.

base-10 to base-36 Conversion

Conversion Table:

Practical Applications

Everyday Use Cases

• Online Usernames: Many websites use base-36 to create unique user identifiers that are compact and easy to remember.

• Shortened URLs: Base-36 is often used in URL shorteners to create shorter links that can represent larger numbers efficiently.

Professional Applications

• Database IDs: In databases, using base-36 for primary keys can help shorten the length of identifiers, making them easier to manage.

• License Keys: Software companies often use base-36 to generate license keys that are difficult to guess yet easy to enter.

Scientific Research

• Data Encoding: Base-36 can be used to encode large datasets efficiently, allowing for more compact storage and faster processing.

• Genetic Sequencing: In bioinformatics, base-36 can be used to represent large genetic sequences in a more compact form, aiding in data analysis and comparison.