Binary Numbers & Logic

BCD Converter

Convert decimal digit strings to or from 8421 binary-coded decimal.

Binary Numbers & Logic

Enter binary or code values

Deterministic local calculation with explicit word sizes and conventions
  1. 1EnterProvide the known values
  2. 2CalculateResults update automatically
  3. 3VerifyReview the details and units
Try an example

Prefixes 0b, 0o, and 0x are accepted where a field says “integer”. Underscores and visual spacing are ignored where appropriate. Your values stay in this browser.

Binary result

Enter valid values to see the result.

Your entries are calculated in this browser and are not submitted to 365CALCS.COM.

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Understand the subject

What is BCD?

Binary-coded decimal stores each decimal digit separately in a four-bit 8421 group.

Use it to inspect decimal-digit encoding rather than an ordinary binary integer.

The rule

Read the representation exactly

See the structure

What the bits are doing

Worked interpretation

Read the result in context

digit 9 → 1001

Interpret with care

Important boundary

BCD 0001 0010 means decimal 12, not binary twelve.

For a small base-two example, use the Binary Calculator.

Quick guide

How to use this calculator

  1. Choose the direction, operation, representation, or parity convention when one is provided.
  2. Enter the labelled values and an explicit word size, base, polynomial, or encoding option where required.
  3. Read the primary result together with its alternate representations and stated convention.

Calculation method

Apply the declared binary rule

Each decimal digit is encoded independently in four binary bits.

The calculator validates every digit against its numeral base, keeps integer and bitwise work exact with arbitrary-precision integers, and limits fixed-width operations to the selected word.

Worked example

Worked binary example

59 becomes 0101 1001 in BCD.

Each decimal digit is encoded independently in four binary bits.

Supported inputs

Precision and limits

Input interpretation

Binary-only fields accept 0 and 1. General integer fields accept decimal plus 0b, 0o, or 0x prefixes. Base conversion supports bases 2 through 36.

Word size and output

Most fixed-width tools support 1–256 bits. Results expose signedness, truncation, parity, or encoding conventions whenever those choices change the meaning.

Local privacy

Calculation runs in the browser. Entered text, bit patterns, code words, and numeric values are not sent to analytics or third parties.