What is Decimal to Hexadecimal Conversion?
When it comes to numeral systems, decimal numbers operate in base 10
, whereas hexadecimal numbers operate in base 16
. In hexadecimal, the numbers are from 0
to 9
, and after that, A, B, and continue up to F, and the values assigned are 10
, and 11
, respectively. Converting between these systems most likely looks tricky, but it is essential for computer science as well as for data representation and many other technical disciplines.
How Does the Calculator Work?
- Input the Decimal Number: Enter the decimal value you wish to convert.
- Instant Conversion: The calculator instantly computes the hexadecimal equivalent.
- Copy and Use: Copy the result for use in programming, debugging, or other tasks.
Why Use Our Decimal to Hexadecimal Calculator?
- Accuracy: Eliminates human error in complex conversions.
- Speed: Get results instantly.
- Convenience: No need for manual calculations or memorizing hexadecimal values.
- User-Friendly: Suitable for students, professionals, and hobbyists alike.
Where:
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Step-by-Step Conversion Example
- Divide
255
by16
. The quotient is15
, and the remainder is15
. - Convert the remainder into hexadecimal. Here,
15
equalsF
. - The result is
FF
.
Let's convert the decimal number 255
to hexadecimal:
Benefits of Understanding Decimal to Hexadecimal Conversion
- Programming: Hexadecimal is widely used in coding, especially for color codes and memory addresses.
- Electronics: Many microcontrollers and embedded systems rely on hexadecimal.
- Data Representation: Hexadecimal offers a compact way to represent binary data.
Decimal to Hexadecimal conversion chart
Decimal | Hexadecimal |
---|---|
0 | 0 |
1 | 1 |
2 | 2 |
3 | 3 |
4 | 4 |
5 | 5 |
6 | 6 |
7 | 7 |
8 | 8 |
9 | 9 |
10 | A |
11 | B |
12 | C |
13 | D |
14 | E |
15 | F |
16 | 10 |
17 | 11 |
18 | 12 |
19 | 13 |
20 | 14 |
Frequently Asked Questions - Decimal to hexadecimal Conversion FAQs:
How to convert decimal to hexadecimal?
Converting decimal numbers to hexadecimal requires dividing the decimal by 16
in repetitions, followed by a reverse ordering of the remainder digits. Hexadecimal operates with base 16
through a combination of numbers 0 through 9 and letters representing values 10 through 15 using A through F. This technique enables the conversion of base 10 numbers to base 16
format.
What is 789
in hexadecimal?
The conversion of 789
decimal requires a division process by 16
. You get 49 remainder 5. The operation yields 3 with a remaining value of 1 when dividing 49 by 16
. Finally, 3 divided by 16
is 0 remainder 3. The remainder sequence is written backward, starting with 315 in hex system. So, 789
in decimal is 315₁₆.
What is 115
in hexadecimal?
The operation of dividing 115
by 16
generates an answer of 7 along with a remainder of 3, yet 7 divided by 16
produces 0 remainder 7. Writing remainders in reverse: 73. So, 115
in decimal equals 73₁₆ in hexadecimal.
Convert 235
decimal to hexadecimal.
The result of 235
divided by 16
amounts to 14 with a leftover of 11. Hexadecimal E corresponds to 14 while B stands for 11. The digits must begin with the last remainder EB, which proceeds to the first value. The hexadecimal value of 235
equals EB₁₆.
Why is hexadecimal used in computers?
Binary becomes easier to read through hexadecimal since each hexadecimal digit contains four binary bits. The binary format benefits from three features: easy reading, combined with compact size and effective memory address use. Additionally, it serves programming at a low level along with color coding applications. The hexadecimal system allows the clear explanation of big binary numbers in computing systems