Calzivo

Developer Tools

Binary Converter

Convert exact non-negative integers between decimal and binary using BigInt-backed arithmetic.

Enter the values and review the result.

Enter plain digits only, up to 4,096 digits.

Calculation assumptions

  • *This calculator supports non-negative whole integers only.
  • *Surrounding whitespace and leading zeros are accepted; internal spaces, signs, fractions, exponents, separators, and prefixes are rejected.
  • *Inputs are limited to 4,096 digits as a browser-safety boundary, not a mathematical limit.
  • *BigInt-backed conversion keeps every accepted integer exact and outputs plain ungrouped digits.

Enter a value to convert.

Converted output will appear here.

How binary and decimal conversion works

Binary is base 2 and uses 0 and 1. Decimal is base 10 and uses 0 through 9. Both notations can represent the same exact non-negative integer.

For binary to decimal, each bit contributes its value times a power of 2. For decimal to binary, the same integer is written with powers of 2.

Worked example: 101010 in base 2 equals 42 in base 10, and converting 42 back to binary returns 101010.

Exact integer scope and limitations

The converter validates the complete input before conversion, so values such as 10102, 12.5, 1e6, 0b1010, and 1_000 are rejected rather than partially parsed.

Leading zeros do not change an integer value and are removed from the canonical output. Signed values, fractions, binary files, and encoded text are outside this calculator's scope.

Quick answers

What this calculator answers

  • Modes: Converts decimal to binary and binary to decimal.
  • Exactness: Uses BigInt-backed integer arithmetic instead of JavaScript Number parsing.
  • Normalization: Accepts leading zeros and returns a canonical result without leading zeros.
  • Scope: Supports non-negative whole integers up to 4,096 input digits.

Transparency note

Accuracy and limitations

Calzivo tools are built for practical estimates, conversions, and checks. Some tools use standard formulas or simplified assumptions, and results can be affected by input accuracy, rounding, units, local rules, or changing official requirements.

Results depend on the values you enter and any simplified assumptions used by the tool. Verify important results before making decisions or submitting official information.

Reference check

Sources and references

These references provide background context for the topic. They do not replace official advice or documents for personal decisions.

How to Use This Tool

Use these steps to enter the right inputs and interpret the result correctly.

1

Choose Decimal to Binary or Binary to Decimal.

2

Enter a non-negative whole integer using the source base digit set.

3

Read or copy the canonical exact result.

Related Tools

Use the specialist radix tools for direct binary, decimal, and hexadecimal conversions.

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Convert exact non-negative decimal integers to uppercase hexadecimal, including values beyond the safe Number range.

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Frequently Asked Questions

Common questions about Binary Converter and how to read the result.

Can this convert integers above Number.MAX_SAFE_INTEGER?

Yes. Accepted inputs use BigInt-backed conversion, so the integer remains exact within the 4,096-digit input boundary.

Are leading zeros allowed?

Yes. They are accepted, but the result is canonicalized without unnecessary leading zeros.

Can binary input include spaces?

Only surrounding whitespace is trimmed. Spaces between digits are rejected to prevent ambiguous or partial input.

Can I enter 0b or 0x prefixes?

No. Enter only the digits for the selected source base.

Can I convert fractions or negative values?

No. This calculator supports non-negative whole integers only.

Is binary the same as Base64?

No. Binary is positional base-2 integer notation; Base64 is a text and byte encoding format.