About Hexadecimal To Decimal Formula
The process of changing one number to another in a number system is known as hexadecimal to decimal conversion. A number system is a consistent representation of numbers using digits or other symbols. Binary, octal, decimal, and hexadecimal are the four sorts of number systems. Each of these has a distinct base number that differentiates the systems. The decimal number system has a base number of 10, but hexadecimal has a base number of 16.
What do you mean by Hexadecimal to Decimal Conversion?
The base numbers of each number system are kept in mind while converting hexadecimal to decimal. The hexadecimal number system uses both digits and characters, with characters being used to represent double digits. There are 16 different notations: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, and 10-15. Ten notations are represented as 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 in the decimal numeral system. To convert hexadecimal to decimal, find the decimal equivalent in the conversion table, multiply as digit by 16 to the power of digit position, then add everything together.
| Hexadecimal | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
| Decimal | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |
Hexadecimal Number System Definition
Because each digit has a weight of power 16, the hexadecimal number system is also known as a positional number system. Each digit is 16 times as important as the one before it. As a result, while converting a hexadecimal number to another number system, we multiply the digits individually, keeping the power of 16 in mind based on their arrangement. The base number is 16 and the number system uses sixteen digits/alphabets: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 and A, B, C, D, E, F. Example: 7DE16, E5F16, and 9B4A16.
Decimal Number System Definition
The decimal number system has a base of ten with digits ranging from 0 to 9. This is how most numbers are represented in everyday life. Example, 2410, 65410, 201210.
Conversion from Hexadecimal to Decimal?
The base number 16 is used to convert from hexadecimal to decimal. The hexadecimal numeral is extended to the power of 16 for each digit. With an increase in power, the power starts at 0 and moves forward towards the right. The multiplied numbers are added to complete the conversion.
- Deimal Number = dn-1 × 16r-1+....+ d2 × 162+ d1× 161+ d0× 160.
- Here, n is number of digits and r is placement of the digit.
The steps to convert hexadecimal to decimal are:
- Use the conversion table to find the decimal equivalent of hexadecimal. (See the table above)
- Multiply each digit by 16 starting at 0 and working your way right.
- Add up all of the numbers.
Maths Formulas prepared by HT experts are listed on the main page.
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