🔁 Binary ↔ Hexadecimal Converter

Convert binary numbers to hexadecimal and hexadecimal to binary with decimal references.

Enter either a binary or hexadecimal value to see the equivalent representation. Both negative numbers and uppercase/lowercase hex are supported.

Digits 0 and 1 only. Leading minus indicates negative values.

Use digits 0-9 and letters A-F. Case-insensitive.

From Binary

Hex: DEADBEEF

Decimal: 3,735,928,559

From Hexadecimal

Binary: 11011110101011011011111011101111

Decimal: 3,735,928,559

How to Use This Calculator

1

Enter binary or hex

Type a binary value to see its hex equivalent, or vice versa. Negative values are supported.

2

Check decimal references

The converter displays the decimal equivalent for quick verification or additional conversions.

3

Copy results

Use the binary or hex outputs in firmware code, debugging sessions, or educational exercises.

Formula

Hex digit = group of four binary bits (e.g. 1101 → D)

Binary = convert each hex digit into its 4-bit binary representation

Decimal conversions use base 2 or base 16 positional notation

Use the formula breakdown to confirm the calculation logic or perform the conversion manually if needed.

Full Description

Binary and hexadecimal are closely related since four binary digits map to a single hex digit. This converter provides a quick way to move between the two, plus a decimal reference that helps check results or integrate with documentation requiring base-10 values.

Programmers often use hex for readability when dealing with memory addresses or bit masks, while hardware manuals may list binary pin states. Having both representations handy speeds up troubleshooting and data entry.

The converter respects negative values by applying the sign consistently across conversions.

Frequently Asked Questions

Does the converter handle fractional values?

It focuses on integers. For fractions, convert the integer part and fractional part separately or use specialized software.

Are lowercase hex values accepted?

Yes. Inputs are normalized to uppercase automatically, and the output is shown in uppercase hex.

What about very large numbers?

Within JavaScript’s safe integer range, conversions are accurate. Beyond that, precision may degrade.

Can I convert directly between binary and hex without decimal?

Yes—the tool shows both. Decimal is included purely as a reference to understand the numeric magnitude.