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Number conversion

Hex to Binary converter

Convert hexadecimal to binary. Each hex digit expands to a 4-bit nibble. Digit map, worked examples, and conversion table. Runs locally in your browser.

Instant result
Result

Enter values to convert.

Inputs
Mode
Formula

Formulas

Core equations used by this converter.

Formula1 → 0001, 0 → 0000 → 00010000₂ = 10000₂
iFollow the formulas shown. Calculation runs locally in your browser.

How to use

1

Open the converter

Use the interactive panel at the top of the page.

2

Enter values

Fill in the required fields for this conversion.

3

Convert and read the result

Use Convert or let the result update automatically.

Example conversions

Common values with formula and result.

ϟ

2F₁₆` → binary

2F₁₆` → binary

2 → 0010
00101111₂ (or 101111₂ without leading zeros)
ϟ

A3₁₆` → binary

A3₁₆` → binary

A → 1010
10100011₂
ϟ

10₁₆` → binary

10₁₆` → binary

1 → 0001, 0 → 0000 → 00010000₂ = 10000₂
00010000₂ = 10000₂
ϟ

2F₁₆

2F₁₆

2 → 0010
00101111₂ (or 101111₂ without leading zeros)

Hex to Binary converter specification

Version 1.1.0 · Engine tested

Calculation status
  • Engine tested 4 published cases
  • Named expert review Not performed
  • Calculation version 1.1.0

Review policy

Definition
**Hexadecimal (base 16)** — one digit represents values 0–15. **Binary (base 2)** — bits 0 and 1.
What it calculates
Convert hexadecimal to binary. Each hex digit expands to a 4-bit nibble. Digit map, worked examples, and conversion table.
Inputs
  • Values required by the selected conversion mode
Outputs
  • Converted result in the target unit or format
Formula
1 → 0001, 0 → 0000 → 00010000₂ = 10000₂
Hex to binary conversion table
HexBinaryHexBinary
0000081000
1000191001
20010A1010
30011B1011
40100C1100
50101D1101
60110E1110
70111F1111
Assumptions
  • Conversion runs locally in the browser; values are not uploaded.
  • Uses the formulas documented on this page.
Units
  • Formula
Boundary conditions
  • Empty or invalid input yields no valid result.
  • Out-of-range values may be rejected by the tool runtime.
Example
2F₁₆` → binary → 00101111₂ (or 101111₂ without leading zeros)
Validation cases
  • 2F₁₆` → binary → 00101111₂ (or 101111₂ without leading zeros)
  • A3₁₆` → binary → 10100011₂
  • 10₁₆` → binary → 00010000₂ = 10000₂
  • 2F₁₆ → 00101111₂ (or 101111₂ without leading zeros)
Sources
  • CalculatorX converter runtime
  • Standard unit / encoding definitions where applicable
Calculation version
1.1.0

Background

Interpretation and common distinctions.

Use the converter tabs to switch direction when available. Results for Hex to Binary converter update locally in your browser.

Frequently asked questions

Key distinctions behind the conversion.

How do you convert using Hex to Binary converter?

Use 1 → 0001, 0 → 0000 → 00010000₂ = 10000₂. Example: 2F₁₆` → binary → 00101111₂ (or 101111₂ without leading zeros).

Can I switch direction?

Open the related reverse converter listed under Related tools.

Does this run online or locally?

Calculation runs locally in your browser. Values are not uploaded.

How precise are the results?

Results follow the formulas on this page. Round to the precision your use case needs.