Hex to Decimal Calculator

Example Hex to Decimal Conversions

What Is Hexadecimal? Understanding Base 16 Numbers

Hexadecimal is a base 16 numbering system using sixteen symbols: 0–9 and A–F. It is widely used in computing to represent binary values more compactly and readably.

Each hex digit corresponds to exactly four binary bits, forming a clean mapping. This makes hex ideal for memory addresses, machine code, colors, and debugging.

What Is Decimal? Understanding Base 10 Numbers

Decimal is the standard base 10 system used in everyday arithmetic. Each position represents a power of ten, using digits 0 through 9.

Computers work internally with binary, but humans prefer decimal. Converting hex to decimal connects machine-level values with human-readable numbers.

How to Convert Hex to Decimal Manually

Remove any 0x prefix, then write the remaining hex digits. Starting from the rightmost digit, assign powers of sixteen: 16⁰, 16¹, 16², and so on.

Replace each hex digit with its decimal value (A=10, B=11, ..., F=15). Multiply each value by its power of sixteen, then sum all partial results carefully.

Example: 2F = 2×16¹ + 15×16⁰ = 32 + 15 = 47. The calculator automates these steps and displays them in the steps box.

Hex to Decimal Formula Explained with Examples

For hex digits Hₙ₋₁...H₁H₀, decimal value is: H₀×16⁰ + H₁×16¹ + ... + Hₙ₋₁×16ⁿ⁻¹.

Example: 1A3F = 1×16³ + 10×16² + 3×16¹ + 15×16⁰ = 4096 + 2560 + 48 + 15 = 6719.

Example: FF = 15×16¹ + 15×16⁰ = 240 + 15 = 255, the maximum 8-bit unsigned value.

Hex to Decimal Conversion Table (0 to FFFF)

Below is a scrollable reference table mapping decimal values 0–65535 to hexadecimal codes 0000–FFFF for quick lookups.

Formula Used: How Hex Converts to Decimal

Each hexadecimal digit contributes its decimal value times a power of sixteen. Summing all such contributions yields the equivalent decimal representation.

Example: 1A3F uses four positions with weights 4096, 256, 16, and 1. Multiply each digit, then add them to get 6719.

How to Use This Hex to Decimal Calculator

• Enter a hex value like FF or 0x1A3F into the single converter.
• Select unsigned or signed mode; signed uses two’s complement with chosen bits.
• Optionally pick a fixed bit length (8, 16, 32, 64) or leave auto.
• Click “Convert Hex to Decimal” to display result and step-by-step breakdown.
• For multiple values, paste them into the bulk box and click “Convert All”.
• Use the history table to review results and export CSV or PDF-style report.