Decimal to Hexadecimal Converter

How to Convert Decimal to Hexadecimal

Converting decimal numbers to hexadecimal is a fundamental operation in computer science and digital systems. Here's a comprehensive guide on how to perform this conversion:

Conversion Formula

The process for converting a decimal number to hexadecimal involves repeatedly dividing by 16 and keeping track of the remainders. The formula can be expressed as:

\[ \text{Decimal} = \sum_{i=0}^{n} h_i \times 16^i \]

Where:

• \(h_i\) represents each hexadecimal digit (0-9 or A-F)
• \(i\) is the position of the hexadecimal digit (starting from 0 for the rightmost digit)
• \(n\) is the number of hexadecimal digits

Conversion Steps

1. Divide the decimal number by 16.
2. Keep track of the remainder (0-15).
3. Convert the remainder to its hexadecimal equivalent (0-9 remain the same, 10-15 become A-F).
4. Divide the quotient by 16.
5. Repeat steps 2-4 until the quotient becomes 0.
6. Read the hexadecimal digits from bottom to top to get the hexadecimal number.

Example Conversion

Let's convert the decimal number 2748 to hexadecimal.

Step 1: Divide by 16 and Track Remainders

Division	Quotient	Remainder	Hex Digit
2748 ÷ 16	171	12	C
171 ÷ 16	10	11	B
10 ÷ 16	0	10	A

Step 2: Read Hex Digits from Bottom to Top

Reading the hex digits from bottom to top gives us: ABC

Final Result

Therefore, 2748 in decimal = ABC in hexadecimal

Visual Representation

This diagram illustrates the process of converting the decimal number 2748 to its hexadecimal equivalent ABC.