About

This tool provides a rigorous environment for converting between Hexadecimal (base-16) and Decimal (base-10) numbering systems. Unlike standard calculators that fail at 2⁵³ (JavaScript's safe integer limit), this engine utilizes BigInt logic to handle integers of arbitrary length, limited only by system memory. It is essential for developers working with memory addresses, color codes, or low-level bytecode.

The converter features advanced modes for Signed integers using Two's Complement arithmetic across standard bit-widths (8, 16, 32, 64-bit). This ensures accuracy when decoding negative values from binary streams or debugging integer overflows in systems programming languages like C, Rust, or Assembly.

Formulas

To convert a Hexadecimal integer to Decimal, we sum the product of each digit d by 16 raised to the power of its position p (zero-indexed from right to left):

Value = n∑i=0 d_i × 16ⁱ

For Two's Complement (Signed) conversion of a b-bit number, if the Most Significant Bit (MSB) is 1:

{

Value − 2^b if MSB = 1Value otherwise

Reference Data

Hex Value	Decimal (Unsigned)	Decimal (Signed 8-bit)	Binary	Description
00	0	0	0000 0000	Null Byte
0A	10	10	0000 1010	Line Feed (LF)
0F	15	15	0000 1111	Low Nibble Max
7F	127	127	0111 1111	Max Signed 8-bit
80	128	-128	1000 0000	Min Signed 8-bit
FF	255	-1	1111 1111	Max Unsigned 8-bit
FFFF	65,535	N/A	...	Max Unsigned 16-bit
FFFFFFFF	4,294,967,295	N/A	...	Max Unsigned 32-bit

Frequently Asked Questions

We utilize the JavaScript BigInt primitive, bypassing the standard 64-bit floating point limit (Number.MAX_SAFE_INTEGER). This allows for calculations on integers with thousands of digits, useful for cryptography and UUID generation.

If you have "Signed Mode" enabled with a specific bit-width (e.g., 8-bit), the tool interprets the binary data using Two's Complement logic. Any value with the leading bit set (e.g., 0xFF in 8-bit) is treated as negative (-1) rather than positive (255).

Yes. The parser automatically detects and strips common prefixes like "0x", "0X", and "#", as well as removing whitespace delimiters, ensuring flexible copy-paste compatibility from source code.

While the explicit presets cover up to 64-bit (Standard CPU registers), the "Arbitrary" mode supports indefinite precision, constrained only by your browser's allocated memory stack.