Hexadecimal to Decimal Calculator

Enter a hexadecimal value to convert it to decimal instantly.

Hexadecimal Value

Hexadecimal to Decimal Calculator

Do you want a quick and reliable way to convert hexadecimal numbers into decimal values? Our Hexadecimal to Decimal Calculator provides instant and accurate conversions, saving you from tedious manual calculations. Whether you’re a student learning number systems, a programmer debugging code, or an electronics engineer analyzing memory addresses, this tool ensures fast, precise, and error-free results every time.

Understanding Hexadecimal and Decimal Numbers

What is the Hexadecimal Number System?
The hexadecimal system (base-16) uses sixteen symbols to represent numbers:
0–9 represent values 0 to 9
A = 10, B = 11, C = 12, D = 13, E = 14, F = 15
Hexadecimal is popular in computer science, programming, and digital systems because it’s a compact way to represent binary numbers. Each hexadecimal digit corresponds to four binary digits (bits).
Example: Hex A = Binary 1010
Hex 1F = Binary 00011111

What is the Decimal Number System?
The decimal system (base-10) is the most commonly used system in everyday life. It uses digits 0–9, where each digit is a power of 10.
Example: Decimal 345 = 3 × 10² + 4 × 10¹ + 5 × 10⁰.

Why Convert Hexadecimal to Decimal?
Hexadecimal values are compact but not easily readable for everyday use. Converting them into decimal:
• Helps in programming and debugging
• Makes values more human-readable
• Useful in mathematics, electronics, and networking
• Essential for students learning number system conversions

Formula for Hexadecimal to Decimal Conversion

Decimal = (dₙ×16ⁿ) + (dₙ₋₁×16ⁿ⁻¹) + … + (d₁×16¹) + (d₀×16⁰)

Where:
dₙ = digit in hexadecimal (0–F)
n = position of the digit (starting from 0 on the right)

Examples of Hexadecimal to Decimal Conversion

Example: Hex A

A = 10

✅ Hex A = Decimal 10

Example: Hex 1C

(1×16¹) + (C×16⁰) = (1×16) + (12×1) = 28

✅ Hex 1C = Decimal 28

Example: Hex 2F

(2×16¹) + (F×16⁰) = (2×16) + (15×1) = 32 + 15 = 47

✅ Hex 2F = Decimal 47

Example: Hex 7B

(7×16¹) + (B×16⁰) = (7×16) + (11×1) = 112 + 11 = 123

✅ Hex 7B = Decimal 123

Example: Hex FF

(F×16¹) + (F×16⁰) = (15×16) + (15×1) = 240 + 15 = 255

✅ Hex FF = Decimal 255

Example: Hex 1A3

(1×16²) + (A×16¹) + (3×16⁰) = (1×256) + (10×16) + (3×1) = 256 + 160 + 3 = 419

✅ Hex 1A3 = Decimal 419

Features of Our Hexadecimal to Decimal Calculator

✅ Converts any hexadecimal number into decimal instantly

✅ Handles both small and very large hex values

✅ 100% free to use, no sign-up required

✅ Accurate results with step-by-step conversions

✅ Works seamlessly on desktop, mobile, and tablet devices

✅ Clean, user-friendly interface for all users

Who Should Use This Calculator?

Students & Teachers – For learning and teaching number system conversions

Programmers & Developers – Debugging hexadecimal code and memory addresses

Electronics Engineers – Converting hex values in microcontrollers and circuits

Researchers & Data Analysts – Handling hex-based data in research projects

Everyday Learners – Curious about how hex values translate into decimal numbers

Why Use an Online Calculator Instead of Manual Conversion?

Manual conversion requires converting each hex digit into decimal, multiplying by powers of 16, and summing results. While manageable for small values, it becomes tedious and error-prone for large hexadecimal numbers. Our Hexadecimal to Decimal Calculator removes this complexity by delivering instant, accurate, and error-free results every time.

Practical Applications

Education – Learning base-16 to base-10 conversions in computer science

Programming – Understanding and debugging hexadecimal values in code

Digital Electronics – Converting memory addresses and microcontroller data

Networking & Security – Working with hexadecimal IP addresses or data packets

Research & Data Processing – Analyzing hexadecimal datasets in decimal format

✅ The Hexadecimal to Decimal Calculator is an essential tool for anyone working with number system conversions, coding, or electronics. With its instant results, 100% accuracy, and easy-to-use design, it’s perfect for students, professionals, and researchers alike.

Try our Hexadecimal to Decimal Calculator today and convert hexadecimal values into decimal numbers instantly with precision and ease!