Decimal to HEX

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Best Decimal to HEX Converter Tool

How to Convert Decimal to Hex

The decimal number system is the number system many of us use daily. Also referred to as denary, is a base 10 number system, meaning it is comprised of 10 digits, 0, 1, 2, 3, 4, 5, 6, 7, 8 & 9.

Hexadecimal numbers, also referred to as just hex, are base 16 numbers. They are often used in computing applications because two hex digits can cleanly represent one binary byte.

Hexadecimal Digits

Hex numbers use the digits, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e & f. This table shows the decimal value for each hexadecimal digit.

Decimal System

The decimal numeral system is the most commonly used and the standard system in daily life. It uses the number 10 as its base (radix). Therefore, it has 10 symbols: The numbers from 0 to 9; namely 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

As one of the oldest known numeral systems, the decimal numeral system has been used by many ancient civilizations. The difficulty of representing very large numbers in the decimal system was overcome by the Hindu–Arabic numeral system. The Hindu-Arabic numeral system gives positions to the digits in a number and this method works by using powers of the base 10; digits are raised to the nth power, in accordance with their position.

For instance, take the number 2345.67 in the decimal system:

The digit 5 is in the position of ones (100, which equals 1),
4 is in the position of tens (101)
3 is in the position of hundreds (102)
2 is in the position of thousands (103)

Meanwhile, the digit 6 after the decimal point is in the tenths (1/10, which is 10-1) and 7 is in the hundredths (1/100, which is 10-2) position
Thus, the number 2345.67 can also be represented as follows: (2 * 103) + (3 * 102) + (4 * 101) + (5 * 100) + (6 * 10-1) + (7 * 10-2)

Hexadecimal System (Hex System)

The hexadecimal system (shortly hex), uses the number 16 as its base (radix). As a base-16 numeral system, it uses 16 symbols. These are the 10 decimal digits (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) and the first six letters of the English alphabet (A, B, C, D, E, F). The letters are used because of the need to represent the values 10, 11, 12, 13, 14 and 15 each in one single symbol.

Hex is used in mathematics and information technologies as a more friendly way to represent binary numbers. Each hex digit represents four binary digits; therefore, hex is a language to write binary in an abbreviated form.

Four binary digits (also called nibbles) make up half a byte. This means one byte can carry binary values from 0000 0000 to 1111 1111. In hex, these can be represented in a friendlier fashion, ranging from 00 to FF.

In html programming, colors can be represented by a 6-digit hexadecimal number: FFFFFF represents white whereas 000000 represents black.