Hex to Decimal Conversion - Fast & Accurate Converter

Need a fast and accurate way for hex to decimal conversion or the reverse? Our hex ⇄ decimal converter gives instant results. Just enter the value and get precise answers for hex to decimal and decimal to hex anytime.

Why Users Love This Hex ⇄ Decimal Converter

• Exact in design: Uses correct formulas for accurate results.
• Instant answers: Get results as you type.
• Clear display: Shows exact and step-by-step conversions.
• Two-way switch: Convert hex to decimal or decimal to hex instantly.
• Works anywhere: Mobile and desktop-friendly.

How to Use Our Converter

1. Enter the hexadecimal or decimal value.
2. Choose conversion direction: hex to decimal or decimal to hex.
3. View instant results.
4. Copy, share, or save the answer.

Hexadecimal (Base-16)

The term hexadecimal (hex) stands for the number system with base-16. It uses 16 digits: 0–9 and A–F, where A = 10, B = 11, C = 12, D = 13, E = 14, and F = 15. Hex is widely used in computer science because it represents binary values in a shorter form.

Key Facts About Hex

• Exact value: Each digit’s place increases by powers of 16.
• Relationship to other systems: Hex is often converted into decimal or binary.
• Common abbreviation: “Hex” or base-16.
• Notation tips: Frequently written with prefix 0x or suffix H.

Decimal (Base-10)

The term decimal stands for the number system with base-10. It uses digits 0–9 and is the everyday counting system used in mathematics, finance, and measurements.

Key Facts About Decimal

• Exact value: Each digit’s place increases by powers of 10.
• Relationship to other systems: Decimal can be converted into binary, octal, or hex.
• Common abbreviation: “Dec” or base-10.
• Notation tips: Only digits 0–9 are allowed.

Hex to Decimal Conversion Formula

Formula:

Decimal = Sum of (hex digit × 16^position).

Hex to Decimal Conversion Examples

Example 1: Convert 1A hex to decimal
= (1 × 16¹) + (10 × 16⁰)
= 16 + 10
= 26 decimal

Example 2: Convert FF hex to decimal
= (15 × 16¹) + (15 × 16⁰)
= 240 + 15
= 255 decimal

Example 3: Convert 3E8 hex to decimal
= (3 × 16²) + (14 × 16¹) + (8 × 16⁰)
= 768 + 224 + 8
= 1000 decimal

Decimal to Hex Conversion Formula

Formula:

Hex = Divide decimal number by 16 and record remainders until quotient = 0. Read remainders from bottom to top.

Decimal to Hex Conversion Examples

Example 1: Convert 26 decimal to hex

Step 1: 26 ÷ 16 = 1 remainder 10 (A)

Step 2: 1 ÷ 16 = 0 remainder 1

Result = 1A hex

Example 2: Convert 255 decimal to hex

Step 1: 255 ÷ 16 = 15 remainder 15 (F)

Step 2: 15 ÷ 16 = 0 remainder 15 (F)

Result = FF hex

Example 3: Convert 1000 decimal to hex

Step 1: 1000 ÷ 16 = 62 remainder 8

Step 2: 62 ÷ 16 = 3 remainder 14 (E)

Step 3: 3 ÷ 16 = 0 remainder 3

Result = 3E8 hex

Applications of Hex and Decimal Conversions

• Computer Programming: Hex simplifies binary representation.
• Digital Electronics: Used in processor instruction sets.
• Web Development: CSS color codes use hexadecimal (#FF0000).
• Networking: IPv6 addresses are written in hex.

Quick Reference Table for Hex ⇄ Decimal Conversion

Use our hex ⇄ decimal converter at Digital Calculator for fast, accurate, and reliable results in programming, networking, and electronics.

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