Base 36 to Base 10

base-36

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

• Symbol: The commonly accepted symbol for base-36 is “36” or simply “b36” when indicating the number is represented in base-36.

• Usage: Base-36 is often used in applications that require a compact representation of large numbers, such as in URLs, unique identifiers, and certain programming scenarios.

base-10

• Definition: Base-10, also known as the decimal system, is the standard numeral system used universally for counting and arithmetic. It comprises ten digits from 0 to 9.

• Symbol: The symbol for base-10 is “10” or “b10” when specifying that the number is in decimal format.

• Usage: Base-10 is used in everyday counting, financial transactions, and most mathematical calculations, making it the most widely used numeral system.

Origin of the base-36

• Base-36 was developed as a means to efficiently encode information. Its ability to represent larger numbers with fewer digits is particularly useful in computing and data storage. The combination of numeric and alphabetic characters allows for a broader range of representations, making it an attractive choice for applications like database indexing and URL shortening.

Origin of the base-10

• The base-10 system has its roots in ancient civilizations, particularly among the Egyptians and the Indians, who used ten fingers for counting. It became the dominant numeral system due to its simplicity and ease of use, eventually being adopted worldwide for mathematical calculations and trade.

base-36 to base-10 Conversion

Conversion Table:

Practical Applications

Everyday Use Cases

• Shortened URLs: Base-36 is often used to create shortened URLs, allowing for compact and easy-to-share links.

• Unique Identifiers: Many online services use base-36 for generating unique IDs for users, products, or transactions, ensuring a large range of identifiers with limited character length.

Professional Applications

• Database Indexing: Base-36 can optimize storage and indexing in databases, reducing the space needed to store keys.

• File Naming Conventions: Some software systems use base-36 for file naming to avoid conflicts and enhance readability.

Scientific Research

• Data Encoding: Base-36 can be useful in encoding large datasets in a compact form, facilitating easier data transfer and storage.

• Genetic Sequencing: In bioinformatics, base-36 may be employed to represent complex genetic information efficiently.