# Convert HexaDecimal to Decimal 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, 6DE: E location is 0, D location is 1 and the 7 location is 2)
• Sum all the multipliers.
Here is an example:
```            6DE is a hex number
6DE = (6 * 162) + (13 * 161) + (14 * 160)
6DE = (6 * 256) + (13 * 16) + (14 * 1)
6DE = 1536 + 208 + 14
6DE = 1758 (in decimal number)
```

## Hex System

Hex, or hexadecimal, is a number system of base 16. This number system is especially interesting because in our casually used decimal system we have only 10 digits to represent numbers. As hex system has 16 digits, the extra needed 6 digits are represented by the first 6 letters of English alphabet. Hence, hex digits are 0,1,2,3,4,5,6,7,8 and 9 A, B, C, D, E, F. This number system is the most commonly used in mathematics and information technologies. I.e. in html programming colors can be represented by a 6-digit hexadecimal number: FFFFFF represents white, 000000 represents black, and so on.

## Decimal System

Decimal number system is the most commonly used and the most familiar one to the general public. It is also known as Base 10 numbering system since it is based on 10 following symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. In decimal system, every digit has its own position as well as the decimal point. I.e. the number 356.74 has 4 in the Hundredth position, 7 in the Tenths position, 6 in the Units position, 5 in the Tens position, and 3 in the Hundreds position. Decimal number system is also one of the oldest known numeral system, which is historically related to Hindu-Arabic numeral system.

#### Hex to decimal conversion examples

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

Related converters:
Decimal to Hex Converter

00
11
22
33
44
55
66
77
88
99
A10
B11
C12
D13
E14
F15