Decimal to Hex Converter
The Decimal to Hex Converter is a user-friendly online tool, to quickly convert Decimal to Hex.
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Decimal to Hex Converter
Decimal to Hex Converter is a platform that helps to convert decimal numbers to hexadecimal numbers, to resolve this type of calculation quickly and easily for people who need it with little effort in computing, programming, or electronics. By using this single interface, you can perform this conversion within a blink of an eye, and thus recommended for students, developers, engineers, and tech-savvy.
About Decimal and Hexadecimal
Decimal System (Base-10)
This numerical system is also referred to essentially as the base-10” numerical system or more popularly known as the decimal numerical system. It adopts ten digits (0 – 9) as symbols of values and each digit in a number symbol carries a value corresponding to the position of the digit i.e., units, tens, hundreds, and so on. For example, in the decimal number “345,” the position of each digit corresponds to different powers of ten:
Thus, "345" in decimal is simply 300 + 40 + 5.
Hexadecimal System (Base-16)
The hexadecimal system known also as the base-16 number system is widely in use in computing and digital electronics. It uses sixteen symbols: A hexadecimal number is any number between 0 and 15 inclusive; this is a base 16 number system using digits 0 through to 9 and the letters A through to F.
0–9 represent values from 0 to 9
A–F represent values from 10 to 15
Of particular interest in computer operation is the conversion of hexadecimal numbers since each hexadecimal digit in a number corresponds to four bits on the computer. For instance, the decimal number “15” is “F” in hexadecimal, while “255” is “FF.”
Decimal to Hex Conversion Formula
For those fascinated by the mathematical process of conversion, the hexadecimal equivalent of decimal numbers 𝐷 can be arrived at by dividing 𝐷 by powers of 16 and then obtaining the remainder at each stage. The general formula for the decimal-to-hex conversion of a given decimal number is:
A decimal to hex converter tool saves time and effort in arriving at these results from these steps thus making the conversions accurate and easy.
How to convert Decimal to Hex
Here, we understand how to convert decimal numbers to hexadecimal, for this, you will first learn its method. Here, you have to divide the decimal number by 16 repeatedly and note the remainder. you read the remainder in reverse order, you will get the hexadecimal representation.
Now, we convert the decimal number to hexadecimal. Now, write the decimal number that you want to convert. For example, let us use the decimal number 315 here.
Here, we will divide 315 by 16 repeatedly.
315 ÷ 16 = 19 with a remainder of 11 (B in hexadecimal)
19 ÷ 16 = 1 with a remainder of 3
1 ÷ 16 = 0 with a remainder of 1
Here, you will read the remainder in reverse order.
When we read the remainder in reverse order 13B. Therefore, the decimal number 315 is equivalent to the hexadecimal number 13B.
Example: Convert Decimal 345 to Hexadecimal
345 ÷ 16 = 21, remainder = 9
21 ÷ 16 = 1, remainder = 5
1 ÷ 16 = 0, remainder = 1
Writing the remainders in reverse order gives 159 in hexadecimal. Thus, 345 (decimal) = 159 (hexadecimal).
Frequently Asked Question (FAQ)
Q: Writing in hexadecimal is useful, so why is it used so often in computing?
A: Computing uses hexadecimal because provides an efficient way of representing binary code. Hexadecimal is more compact and thus easier to read than binary and is; Hex digit corresponds to four bits so when decoding values, it is easier to decode than binary.
Q: Is it possible to convert decimal fractions to hexadecimal?
A: Yes, it is possible to convert decimal fractions to hexadecimal, although it means using a slightly different approach, namely multiplying the fractional calculated decimal fraction by the Hexadecimal base which is 16 till the degree of accuracy is satisfactory. Often our converter deals only with integer conversions for simplicity for our user’s convenience.
Q: I would also like to ask about the typical usage of the hexadecimal values.
A: Hexadecimal is used in programming where the values are expressed in hexadecimal form, in memory addressing, colors in HTML and CSS (where #FFFFFF is code for white), and in error code in systems and hardware.
Q: What is the case with negative numbers in hexadecimal numbers?
A: Negative hexadecimal numbers are computed in the same way as negative decimal or negative binary numbers with the only difference being that actual negative hex values are often prefixed with a minus sign (e.g., -1A3 ). Negative numbers In computer systems Negative numbers may also be represented in two’s complement binary notation.
A Table for Decimal to Hex conversion
| Decimal | Hexadecimal |
|---|---|
| 0 | 0 |
| 1 | 1 |
| 2 | 2 |
| 3 | 3 |
| 5 | 5 |
| 10 | A |
| 11 | B |
| 12 | C |
| 13 | D |
| 14 | E |
| 15 | F |
| 50 | 32 |
| 63 | 3F |
| 100 | 64 |
| 200 | C8 |
| 1000 | 3E8 |
| 2000 | 7D0 |
| 10000 | 2710 |