Base 4 to Base 36

base-4

• Definition: Base-4, also known as quaternary, is a numeral system that uses four distinct symbols to represent values: 0, 1, 2, and 3. Each position in a base-4 number represents a power of 4.

• Symbol: The symbols used in base-4 are simply the digits 0, 1, 2, and 3.

• Usage: Base-4 is used in various computer science applications, especially in data structures and algorithms that require non-binary representations.

base-36

• Definition: Base-36 is a numeral system that employs thirty-six symbols, consisting of the digits 0-9 and the letters A-Z to represent values. Each position in a base-36 number represents a power of 36.

• Symbol: The symbols used in base-36 are the digits 0-9 and the letters A-Z.

• Usage: Base-36 is often used in encoding schemes, such as for generating short URLs or in applications where space efficiency is crucial.

Origin of the base-4

• The base-4 system has its roots in ancient numeral systems, with evidence of quaternary counting found in various cultures. Its simplicity and ease of use make it a natural choice for certain counting and computational processes.

Origin of the base-36

• The base-36 system emerged from the need for a compact representation of large numbers. With the advent of digital technologies and the internet, it became popular for applications requiring efficient encoding and decoding, such as in URL shortening services.

base-4 to base-36 Conversion

Conversion Table:

Practical Applications

Everyday Use Cases

• Data Encoding: Base-36 is used in applications that require a compact encoding system, making it easier to share and store information.

• URL Shortening: Many URL shorteners use base-36 to convert long URLs into shorter, more manageable links.

Professional Applications

• Database Indexing: Base-4 can be used in indexing databases where efficiency in space and retrieval speed is important.

• Software Development: Programmers may use base-4 for algorithms that optimize performance in certain data structures.

Scientific Research

• Computer Simulations: Base-4 can be applied in simulations that require discrete states or conditions.

• Data Analysis: Base-36 can be advantageous in analyzing large datasets by minimizing the space required for numerical representation.