The Sexadecimal Number System, also known as the hexadecimal system, is often used in computer programming and digital technology. The word "sexadecimal" is pronounced in IPA phonetic transcription as /sɛksəˈdɛsəməl/, with the emphasis on the second syllable. The spelling of the word is derived from the Latin word "sex" meaning "six" and "decem" meaning "ten". This reflects the fact that the system uses 16 digits, including the digits 0-9 followed by the letters A-F, to represent numerical values.
The sexadecimal number system, also known as the base-16 or hexadecimal number system, is a numeral system that uses 16 different symbols to represent numbers. It is a positional number system, where each symbol represents a different value depending on its position in the number. The sexadecimal system is widely used in computer programming, digital electronics, and mathematics.
In the sexadecimal number system, the symbols used to represent numbers include the digits from 0 to 9, and the letters A to F. The digits 0 to 9 correspond to their respective values, while the letters A to F represent the values 10 to 15. This allows for the representation of numbers larger than 9 using a single symbol.
The position of each symbol in a sexadecimal number determines its value, similar to the decimal system. The rightmost position represents the ones place, the next position to the left represents the sixteens place, the next represents the 256s place, and so on. The value of each position is calculated by multiplying the symbol's value with the corresponding power of 16.
The sexadecimal number system is commonly used in computer programming for various purposes, including memory addressing, color representation, and binary to sexadecimal conversion. It offers a compact and efficient way to represent large numbers, as well as a simplified representation of binary numbers, which are commonly used in digital systems.