Binary-coded decimal (BCD) to decimal
Type a value in BCD to get it in dec instantly.
255dec
That's about the same as a byte. That needs 8 bits to store.
Convert the other way: dec to BCD
What it means
How big is that?
Whole numbers only. Anything after the decimal point is rounded away.
The math
How to convert BCD to dec
Base b: each digit is worth b times the one to its right. Gray code = n XOR (n ÷ 2); BCD writes each decimal digit as four bits.
Example: 0010 0101 0101 BCD = 255 dec.
Every unit
Your number in every base
Tables
BCD to dec conversion table
| BCD | dec |
|---|---|
| 0001 BCD | 1 dec |
| 0010 BCD | 2 dec |
| 0100 BCD | 4 dec |
| 1000 BCD | 8 dec |
| 0001 0000 BCD | 10 dec |
| 0001 0101 BCD | 15 dec |
| 0001 0110 BCD | 16 dec |
| 0011 0001 BCD | 31 dec |
| 0011 0010 BCD | 32 dec |
| 0110 0100 BCD | 64 dec |
| 0001 0000 0000 BCD | 100 dec |
| 0001 0010 1000 BCD | 128 dec |
| 0010 0101 0101 BCD | 255 dec |
| 0010 0101 0110 BCD | 256 dec |
| 0101 0001 0010 BCD | 512 dec |
| 0001 0000 0000 0000 BCD | 1,000 dec |
| 0001 0000 0010 0100 BCD | 1,024 dec |
dec to BCD conversion table
| dec | BCD |
|---|---|
| 1 dec | 0001 BCD |
| 2 dec | 0010 BCD |
| 4 dec | 0100 BCD |
| 8 dec | 1000 BCD |
| 10 dec | 0001 0000 BCD |
| 15 dec | 0001 0101 BCD |
| 16 dec | 0001 0110 BCD |
| 31 dec | 0011 0001 BCD |
| 32 dec | 0011 0010 BCD |
| 64 dec | 0110 0100 BCD |
| 100 dec | 0001 0000 0000 BCD |
| 128 dec | 0001 0010 1000 BCD |
| 255 dec | 0010 0101 0101 BCD |
| 256 dec | 0010 0101 0110 BCD |
| 512 dec | 0101 0001 0010 BCD |
| 1,000 dec | 0001 0000 0000 0000 BCD |
| 1,024 dec | 0001 0000 0010 0100 BCD |
Quick answers
Quick answers
- How many dec is 0001 BCD?
- 0001 BCD is 1 dec.
- How many dec is 0010 0101 0101 BCD?
- 0010 0101 0101 BCD is 255 dec.
The units
About these units
Binary-coded decimal (BCD) (BCD)
Each decimal digit in its own four bits: 42 is 0100 0010. Used by clocks and displays.
Decimal (dec)
Base ten, the everyday counting system, using digits 0 to 9.
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