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Hex Calculator

Enter a valid hexadecimal number. You may include the 0x prefix. This value is required for all operations.

Provide Hex value B for operations like Add, Subtract, Multiply, Divide, Modulo, AND, OR, XOR. Leave blank for NOT or Convert.

Select the operation to perform. For NOT and Convert, only value A is used. For shifts, specify the shift amount below.

Used with Shift Left/Right. Enter how many bit positions to shift (0–31). Ignored for non-shift operations.

All operations are constrained to the selected bit width. Values exceeding the width are masked to fit.

Choose how to interpret inputs and results. Signed mode uses two's complement within the chosen bit width.

Pick which representation(s) to display for the result.

If checked, hexadecimal output will use A–F. Otherwise, a–f will be used.

Include the 0x prefix in hexadecimal results for clarity.

The Hex Calculator is a fast, developer-friendly tool that lets you compute and convert hexadecimal values with precision. Whether you are debugging embedded code, analyzing bitmasks, or translating between numeric bases, this calculator streamlines everyday tasks like addition, subtraction, shifting, and bitwise logic in a familiar hex-first workflow.

What is a Hex Calculator?

Hexadecimal (base-16) is a compact way to represent binary data using digits 0–9 and letters A–F. Because each hex digit maps to four binary bits, hex is ideal for low-level programming, memory inspection, and configuration flags. A Hex Calculator combines numeric operations with base conversions so you can work natively in hex while still seeing decimal, binary, and octal representations when you need them.

Key Features You Can Rely On

  • Core arithmetic in hex: add, subtract, multiply, divide, and modulo.
  • Bitwise logic: AND, OR, XOR, and NOT for mask manipulation.
  • Shifts: logical and arithmetic behavior based on unsigned or signed interpretation.
  • Bit width control: constrain results to 8, 16, or 32 bits, with automatic masking.
  • Base conversions: view results in hex, decimal, binary, and octal.
  • Formatting options: choose uppercase hex and optional 0x prefix.

How to Use the Hex Calculator

  1. Enter Hex value A. For binary operations, also enter Hex value B.
  2. Choose an operation: arithmetic, bitwise, convert, or shift.
  3. Pick a bit width (8/16/32) to control masking and signed range.
  4. Select number interpretation: Unsigned or Signed (two's complement).
  5. Optionally set shift amount, output format, and hex styling options.
  6. Click Calculate to see normalized inputs and results in your chosen formats.

Why Bit Width and Signed Mode Matter

Bit width determines the range and overflow behavior of your computation. For example, 8-bit unsigned ranges from 0 to 255, while 8-bit signed two's complement ranges from ?128 to 127. When results exceed the chosen width, the calculator masks them to fit, emulating how CPUs wrap values in fixed-size registers. Signed mode affects interpretation: the same raw bits can represent different numeric values depending on whether you read them as signed or unsigned.

Practical Examples

  • Combining flags: Use OR to set bits (e.g., 0x20 | 0x04) and AND to test or clear bits.
  • Indexing and encoding: Shift left to multiply by powers of two, or shift right to divide and isolate fields.
  • Masking: XOR to toggle specific bits, AND with a mask to extract fields, NOT to invert.
  • Cross-base checks: Convert a result to binary to visually verify bit patterns, then copy the hex form for code.

SEO Benefits for Developers and Learners

Searching for a reliable Hex Calculator often means you need quick, accurate answers. This tool focuses on clarity: labeled fields, helpful notes, and consistent output across bases. It supports common workflows in embedded systems, network protocols, security research, and data serialization. By keeping the interface clean and the math transparent, it helps you move from problem to solution with fewer errors and less context switching.

Tips for Accurate Results

  • Choose the correct bit width before computing to avoid unexpected wraps.
  • Use signed interpretation when modeling two's complement arithmetic.
  • Normalize inputs with or without the 0x prefix—the calculator accepts both.
  • For shift operations, keep shift amounts within the selected bit width to preserve intent.
  • When in doubt, select All formats to cross-check hex against decimal and binary.

With these features and guidelines, the Hex Calculator becomes your dependable companion for everything from quick conversions to precise bitwise operations.

FAQs

What operations does the Hex Calculator support?

The Hex Calculator supports arithmetic (add, subtract, multiply, divide, modulo), bitwise (AND, OR, XOR, NOT), shifts, and base conversions.

How does the Hex Calculator handle signed vs unsigned values?

You choose Unsigned or Signed (two’s complement). The Hex Calculator interprets inputs and outputs accordingly within the selected bit width.

Why does the Hex Calculator ask for a bit width?

Bit width controls masking and overflow, emulating 8-, 16-, or 32-bit registers so results match fixed-width integer behavior.

Can I use the Hex Calculator to convert hex to decimal and binary?

Yes. Choose Convert or All formats to see hex alongside decimal, binary, and octal representations.

Does the Hex Calculator accept the 0x prefix?

Yes. You can enter values with or without 0x. Output can also include the 0x prefix if you enable it.

How do shifts work in the Hex Calculator?

Shift Left and Shift Right use the selected bit width. Right shifts are arithmetic in signed mode and logical in unsigned mode.

What if I forget Hex value B in the Hex Calculator?

For binary operations like add or AND, you must provide B. For NOT and Convert, only A is required.

Why did my Hex Calculator result wrap around?

Results are masked to the selected bit width, so values exceeding the range wrap just like fixed-size CPU registers.

Can the Hex Calculator display uppercase or lowercase hex?

Yes. Use the Uppercase hex output option to toggle between A–F and a–f.