Hexadecimal to Decimal Converter

How to Use This Hex to Decimal Converter

A debugger spits out 0xFF, a CSS file lists #2563EB, and a serial log shows raw hex bytes—but your spreadsheet, ticket system, or mental math wants ordinary base-10 numbers. Hand-converting hex on scratch paper means mapping A–F to 10–15, tracking powers of sixteen, and hoping you did not drop a carry. In our testing, one wrong nibble silently shifts memory offsets and color channels by entire steps.

Think of hex like a compact shipping label for binary: every hex digit packs four binary bits, so long bit strings shrink to half the character count. You still read it left to right like decimal, but each column counts sixteens instead of tens. This converter does the place-value multiplication while you paste addresses, color codes, or firmware values.

• Enter the hex value in the Hex number field. A leading 0x prefix is optional; spaces are stripped automatically.
• Read the decimal result as values update. Fractional hex such as 0.8 is supported when you need sub-unit precision.
• Check binary output for the integer portion when you are tracing bit patterns alongside the decimal answer.
• Select a bit width for signed two’s complement interpretation—match 8-, 16-, 32-, or 64-bit to your microcontroller or register size.
• Use the calculation steps panel to audit each power-of-sixteen term before pasting the decimal into documentation.
• Click a sample row in the built-in table to load common values like FF or 100 without retyping.

Nothing uploads to a server. Conversion runs in JavaScript on your device, which keeps proprietary memory maps and unreleased firmware offsets off third-party logs.

Hex to Decimal Formulas and Practical Applications

Hexadecimal is base 16. Digits 0–9 behave like decimal; letters A–F carry values 10 through 15. Each position leftward multiplies the digit by a higher power of sixteen, exactly the way decimal columns multiply by ten.

Integer hex to decimal

To get started, walk digits from right to left, multiplying each symbol by 16^n where n starts at zero on the rightmost digit.

Decimal = Σ (digit × 16^position)

Example walkthrough: 3B hex. The right digit B equals 11, so 11 × 16&sup0; = 11. The left digit 3 contributes 3 × 16¹ = 48. Sum: 59 decimal. The steps panel in the calculator card prints this breakdown for whatever you paste.

Fractional hex values

Moving onto values right of the hex point, each position uses negative powers of sixteen—the same idea as decimal tenths and hundredths, but with base sixteen divisors.

Fraction = Σ (digit × 16^−k)

Example: 0.8 hex equals 8 × 16⊃-1 = 0.5 decimal. Handy when datasheets express fractional offsets in hex notation.

Signed two’s complement

Embedded registers often store signed integers in fixed bit widths. Values at or above half the range represent negative numbers when the high bit acts as a sign flag. Pick the bit width that matches your platform before reading the signed decimal line.

Where developers use hex-to-decimal daily

Memory and debugging: Translate stack pointers and error codes from hex logs into decimal for comparison against documentation. Web colors: After isolating channel bytes from a hex color string, paste them here before updating design tokens—pair with our RGB to Hex Color Converter for full color workflows. Encoding pipelines: Jump to the ASCII, Hex, Binary, Decimal Converter when you need character mapping alongside raw numbers. Binary arithmetic: Cross-check results in the Binary Calculator when operands stay in base 2. CSS theming: See our guide on Hex to HSL for Tailwind CSS variables when hex values feed design systems.

Standard Units and Conversion Tables

Hex digits map cleanly to decimal and binary nibbles. Four bits equal one hex digit; two hex digits equal one byte (0–255).

• Single digits: A = 10, F = 15.
• Byte ceiling: FF = 255 (maximum unsigned 8-bit value).
• Power-of-two anchors: 100 = 256, 400 = 1024.
• Common color channel max: FF per RGB channel in eight-bit color.

The interactive table above the FAQ lists additional hex samples with calculation columns. In practical environments, I keep FF and 100 mentally loaded—they appear constantly in color work, buffer sizes, and alignment offsets.

Frequently Asked Questions