For example, the decimal number 15 will be F in hex. Remembering that the letters A, B, C, D, E and F are used for the values 10, 11, 12, 13, 14 and 15, convert accordingly. Step 1: If the given decimal number is less than 16, the hex equivalent is the same.Here is how to convert decimal to hex step by step: In between these divisions, the remainders give the hex equivalent in reverse order. Simply put, the decimal number is repeatedly divided by the radix 16. How to Convert Decimal to Hexĭecimal to hexadecimal conversion can be achieved by applying the repeated division and remainder algorithm. In html programming, colors can be represented by a 6-digit hexadecimal number: FFFFFF represents white whereas 000000 represents black. In hex, these can be represented in a friendlier fashion, ranging from 00 to FF. This means one byte can carry binary values from 0000 0000 to 1111 1111. Each hex digit represents four binary digits therefore, hex is a language to write binary in an abbreviated form.įour binary digits (also called nibbles) make up half a byte. Hex is used in mathematics and information technologies as a more friendly way to represent binary numbers.
The letters are used because of the need to represent the values 10, 11, 12, 13, 14 and 15 each in one single symbol. 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). As a base-16 numeral system, it uses 16 symbols. The hexadecimal system (shortly hex), uses the number 16 as its base (radix). Thus, the number 2345.67 can also be represented as follows:.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.2 is in the position of thousands (10 3).3 is in the position of hundreds (10 2).The digit 5 is in the position of ones (10 0, which equals 1),.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 n th power, in accordance with their position.įor instance, take the number 2345.67 in the decimal system: The difficulty of representing very large numbers in the decimal system was overcome by the Hindu–Arabic numeral system. Therefore, it has 10 symbols: The numbers from 0 to 9 namely 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.Īs one of the oldest known numeral systems, the decimal numeral system has been used by many ancient civilizations. It uses the number 10 as its base (radix). The decimal numeral system is the most commonly used and the standard system in daily life.
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