Convert Hexadecimal to BCD
Convert hex to Binary-Coded Decimal with per-digit breakdown. BigInt-safe for 16+ digit inputs, batch mode, grouping toggle. Free, offline, 100% client-side.
- Runs in your browser
- Nothing uploaded
- Free, no sign-up
Convert hex to Binary-Coded Decimal through the natural pipeline: Hex → Decimal → 4-bit BCD nibble per digit. Each breakdown row shows the decimal digits and exactly how each maps to its 4 bits. BigInt-safe for arbitrarily large values.
How to Use Convert Hexadecimal to BCD
- Paste your hex values, one per line. The
0x,0X, or#prefix is optional; spaces and underscores are stripped automatically. - Toggle nibble grouping if you want
0010 0101style output (default) or continuous00100101. - Press Convert (or Ctrl+Enter / Cmd+Enter). Auto-convert runs 200 ms after each keystroke.
- Read the stats line: total lines, successes, errors, and the aggregate decimal digit count across the batch.
- Inspect the breakdown panel: each row shows
hex → decimal → BCD, then a per-digit trace (2→0010 · 5→0101) so you can see exactly which decimal digit became which 4-bit pattern. - Errors flag per line: one bad character doesn't abort the batch - it just marks that row with a red border.
- Copy or Download: Copy places the BCD on your clipboard; Download saves a
.txt.
Frequently Asked Questions
How does hex-to-BCD conversion work?
Two stages. Stage one: hex → decimal. 0xFF is 255 in decimal. Stage two: each decimal digit becomes 4 bits. 2 = 0010, 5 = 0101, 5 = 0101, so 255 in BCD is 0010 0101 0101 (12 bits for 3 digits). Unlike pure binary (where 255 would be 11111111 in 8 bits), BCD preserves each decimal digit’s identity – useful for 7-segment displays and decimal-arithmetic hardware.
Does this handle hex values larger than 2^53?
Yes. The tool uses JavaScript’s native BigInt, so 16-digit hex (FFFFFFFFFFFFFFFF = 64-bit max), 32-digit hex, or arbitrarily large values convert to BCD exactly. Regular Number arithmetic would silently round past 2^53 − 1, which is only ~14 hex digits – BigInt bypasses that limitation entirely.
Why is BCD bigger than pure binary for the same number?
Because BCD uses 4 bits per decimal digit regardless of efficiency. 255 fits in 8 bits of pure binary (11111111) but needs 12 bits of BCD (0010 0101 0101) – 50% overhead. This is the trade-off: BCD makes decimal I/O simple at the cost of storage density. Pure binary is denser; BCD is easier to display.
How does this differ from the Hex-category “Hex to BCD” tool?
This one (in the Binary category) is the educational quick-variant: just Packed BCD output (4 bits/digit), with a per-digit expansion in the breakdown. The Hex-category sibling adds a format selector for Unpacked BCD (8 bits/digit, zoned-decimal style) and COMP-3 (IBM mainframe signed packed with C/D sign nibble). Pick this one for learning/quick encoding; pick the sibling for mainframe integration.
Why would anyone use BCD in 2026?
Four real-world reasons. Financial arithmetic (BCD avoids binary rounding errors in money math). 7-segment display drivers on microcontrollers (each digit maps directly to a display). Legacy mainframe integration via COBOL COMP-3. Some ASIC/PLC register layouts still use BCD for parameter storage. If you’re touching hardware or old banking systems, BCD shows up.
How many BCD bits will my hex produce?
4 × (number of decimal digits in the value). 0xFF = 255 = 3 decimal digits = 12 BCD bits. 0xFFFF = 65,535 = 5 digits = 20 BCD bits. 0xFFFFFFFFFFFFFFFF = 18,446,744,073,709,551,615 = 20 decimal digits = 80 BCD bits. The stats row tells you the digit count; multiply by 4 for bits.
What input formats does the tool accept?
Bare hex digits (FF), C-style (0xFF or 0XFF), CSS hex-color style (#DEADBEEF), with spaces (DE AD BE EF), or underscores (DE_AD_BE_EF). Case-insensitive. Batch multiple values by putting each on its own line.
What happens if one line in a batch is invalid?
Only that line fails. The breakdown panel flags it with a red border and names the offending character’s position (“Line 3: invalid hex character ‘Z’ at position 2”). Every other valid line still converts. The stats row shows how many succeeded versus failed.
Is my hex data uploaded anywhere?
No. All arithmetic runs in your browser’s JavaScript engine. No network requests fire during conversion, no server stores or logs your hex values. You can verify with your browser’s Network tab. The tool works offline after the initial page load.
Can I round-trip BCD back to hex?
Yes – the conversion is lossless. Decode the BCD nibbles back to decimal digits, concatenate them into a decimal number, then convert that to hex. our “BCD to Hex” converter (or “BCD to Decimal” → “Decimal to Hex”) handles the reverse. No precision loss in either direction.
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