Decimal to Hexadecimal Number System Conversion

ElevatEd
Coding
December 17, 2024

Decimal hexadecimal conversion is a mathematical operation that involves the transformation of numbers. It revolves around from base-10 or decimal system to the base-16 or hexadecimal system which are commonly used in digital electronics and computing. Hexadecimal is an advantageous process as it serves a more compact and human-readable representation of binary coded value.

This number system conversion is fundamental in understanding the computing process, data storage, and the skill to understand programming. By learning this conversion method, you can better utilize the information in various technological applications. This article is going to highlight the entire process of conversion from decimal to hexadecimal.

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Decimal to Hexadecimal Conversion Process

Decimal to hexadecimal conversion is the process of converting a decimal number with a base of 10 to a hexadecimal number with a base of 16. While converting the numbers, the base of the number must be observed. The number needs to be divided by 16 until the quotient is zero.

Decimal to hexadecimal conversion table

The following table shows representations of decimal numbers and hexadecimal numbers.

Decimal number	Hexadecimal number
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

Steps to Convert Decimal to Hexadecimal

To convert decimal to hexadecimal some basic steps need to be followed.

Step 1: Divide the given decimal number value by 16 and note the remainder.

Step 2: Divide the quotient by 16 again.

Step 3: Repeat the process until the quotient becomes zero.

Step 4: Map the remainder to its hexadecimal digits.

Step 5: The hexadecimal numbers are formed by reading the remainder in reverse.

Examples:

Divide 35 by 16

Quotient = 2

Remainder = 3

Again divide 2 by 16

Quotient = 0.125 = 0

Remainder = 2

So, reading the remainder in the reverse order produces 2 and 3, the hexadecimal number of 35 is 23.

Overall, the number system conversion process from decimal to hexadecimal is an important skill to learn in computer science. Digital electronics is also related to this conversion process as it offers a compact easy-to-read and understandable format for binary-coded values. The process involves dividing the number by 16 and collecting the remainder to get a hexadecimal representation. Mastering this process of conversion eventually enables efficient problem-solving skills and system design. To know more about the conversion of the number system, visit www.98thpercentile.com or you can join our 1-week free trial classes on the coding program.

FAQs (Frequently Asked Questions)

Q.1. What is hexadecimal?

Ans: It is a numbering system that uses 16 symbols, 0-9 and A-F. A represents 10 and up to F, that means 15.

Q.2. Why hexadecimal is used in computing language?

Ans: It is a more human-readable representation of binary-coded value, making an understanding of stored data.

Q.3. What is the significance of number system conversion in programming?

Ans: It is easier to make code and manage data that addresses the web design.

Q.4. How can I verify decimal to hexadecimal conversion?

Ans: You can verify through online converters on programming languages such as Python.

Q.5. Is there any easy way to memorize hexadecimal numbers?

Ans: In hexadecimal, 0-9 is constant then the letters A, B, C, D, E, and F stand for 10,11,12,13,14,15.

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Decimal to Hexadecimal Number System Conversion