# HEX to Decimal

**System of Hexadecimals (Hex System)**

The basis of the hexadecimal system (abbreviated hex) is 16. (radix). It employs **16 symbols **since it is a **base-16 numeric system.** The first six letters of the English alphabet are **A, B, C, D, E, and F**, and the first ten decimal numbers are** 0** through **9 (0, 1, 2, 3, 5, 6, 7, and 8)**. The need to represent the numbers **10, 11, 12, 13, 14, and 15 **in a single symbol necessitates the employment of the letters.

*In mathematics and information technology, hex is employed to represent binary integers because it is more aesthetically pleasing. Hex is a language used to write binary in an abridged manner since each hex digit represents four binary digits.*

**Four binary digits, often known as nibbles.**

*The most widely used and accepted system in daily life is the decimal numeral system. It bases itself on the number 10. (radix). Consequently, it has ten symbols: The digits 0 through 9, namely 0, 1, 2, 3, 4, 5, 6, 7, and 9.*

*Many ancient civilizations used the decimal numeral system, which is one of the earliest numeral systems that is now known. The Hindu-Arabic numeral system solved the problem of representing very big numbers in the decimal system.* **The Hindu-Arabic numeral system assigns positions to the digits of a number. This system uses powers of base 10 to calculate numbers, and the digits are raised to the nth power according to their placements.**