Decimal to Hexadecimal Converter with Steps

Decimal to Hexadecimal Conversion

Converting a decimal number to hexadecimal is a useful technique in computing and digital electronics, especially when working with memory addresses, colors in web design, and low-level programming. The hexadecimal system is base-16, using digits 0–9 and letters A–F to represent values.

What is Decimal?

Decimal is the standard base-10 number system we use in everyday life. It includes digits from 0 to 9. Each digit’s position represents a power of 10. For example, 245 in decimal means: (2×10²) + (4×10¹) + (5×10⁰).

What is Hexadecimal?

The hexadecimal (or hex) system is base-16. It includes digits from 0 to 9 and letters A to F, where A = 10, B = 11, C = 12, D = 13, E = 14, and F = 15. It is widely used in programming, color codes (e.g., #FF5733), and memory representation in computers.

How to Convert Decimal to Hexadecimal (Integer Part)

To convert a whole number (integer) from decimal to hexadecimal:

1. Divide the decimal number by 16.
2. Record the remainder (convert 10–15 to A–F).
3. Continue dividing the quotient by 16 until you reach 0.
4. The hexadecimal number is the remainders read from bottom to top.

Example: Convert 345 to Hexadecimal

• 345 ÷ 16 = 21 remainder 9 → 9
• 21 ÷ 16 = 1 remainder 5 → 5
• 1 ÷ 16 = 0 remainder 1 → 1

Reading from bottom to top, 345 in decimal = 159 in hexadecimal.

How to Convert Decimal Fractions to Hexadecimal

To convert a fractional decimal (e.g., 0.625) to hexadecimal:

1. Multiply the fractional part by 16.
2. The integer part of the result becomes the next hex digit.
3. Repeat the process with the new fractional part.
4. Stop after a few digits or when the fraction becomes 0.

Example: Convert 0.625 to Hexadecimal

• 0.625 × 16 = 10.0 → Integer part: 10 = A
• Fractional part is now 0, so we stop.

So, 0.625 in decimal = 0.A in hexadecimal.

Example: Convert 0.3 to Hexadecimal

• 0.3 × 16 = 4.8 → 4
• 0.8 × 16 = 12.8 → 12 = C
• 0.8 × 16 = 12.8 → continues repeating…

So, 0.3 in decimal ≈ 0.4CCCC… (repeating) in hexadecimal.

Combining Integer and Fractional Parts

To convert a decimal number with both integer and fraction (e.g., 345.625):

• Convert the integer part (345 → 159)
• Convert the fractional part (0.625 → A)
• Final hexadecimal: 159.A

Why Convert Decimal to Hexadecimal?

• Hex numbers are shorter and easier to read than binary.
• Used in computer memory addresses and debugging.
• Essential in web development for colors and CSS.

Use Our Decimal to Hexadecimal Calculator

Use our free Decimal to Hexadecimal Calculator above to instantly convert any number—integer or fractional—and view detailed steps showing how it's done.