Hexadecimal to Decimal Converter

To use this online hex to decimal converter tool, type a hex value like 1E into the left field below, and then hit the Convert button. You can convert up to 16 hex characters (max. value of 7fffffffffffffff) to decimal.

Hex Value (max. 7fffffffffffffff) Convert

Decimal Value swap conversion: Decimal to Hex

Hex to decimal conversion result in base numbers

How to Calculate Hexadecimal to Decimal

Hex is a base 16 number and decimal is a base 10 number. We need to know the decimal equivalent of every hex number digit. See below of the page to check the hex to decimal chart.
Here are the steps to convert hex to decimal:

• Get the decimal equivalent of hex from table.
• Multiply every digit with 16 power of digit location.
  (zero based, 7DE: E location is 0, D location is 1 and the 7 location is 2)
• Sum all the multipliers.

Here is an example:

7DE is a hex number
7DE = (7 * 162) + (13 * 161) + (14 * 160) 
7DE = (7 * 256) + (13 * 16) + (14 * 1) 
7DE = 1792 + 208 + 14 
7DE = 2014 (in decimal number)

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.

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 n^th 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)

Hex to decimal conversion examples

• (1D9)₁₆ = (473)₁₀
• (80E1)₁₆ = (32993)₁₀
• (10CE)₁₆ = (4302)₁₀

Hexadecimal to Decimal Conversion Chart

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