Decimal to BCD Converter / Tool

This is a tool that runs in your browser and converts between decimal and BCD (Binary-coded decimal).

• When you enter a numerical value, it is automatically converted.
• BCD binary numbers are formatted when out of focus.
• If you enter a number that is not BCD in binary, an error message will be displayed.

What is BCD?

BCD (Binary-coded decimal) is a decimal number separated by one digit, each of which is represented by a four-digit binary number; BCD matches a decimal number when expressed in hexadecimal.

DEC	BIN	HEX	BCD (BIN)	BCD (HEX)
0	0000	0	0000 0000	0
1	0001	1	0000 0001	1
2	0010	2	0000 0010	2
3	0011	3	0000 0011	3
4	0100	4	0000 0100	4
5	0101	5	0000 0101	5
6	0110	6	0000 0110	6
7	0111	7	0000 0111	7
8	1000	8	0000 1000	8
9	1001	9	0000 1001	9
10	1010	A	0001 0000	10
11	1011	B	0001 0001	11
12	1100	C	0001 0010	12
13	1101	D	0001 0011	13
14	1110	E	0001 0100	14
15	1111	F	0001 0101	15

The decimal digits 0 to 9 are the same in hexadecimal, so they will be the same in BCD. 10 and above each digit is converted to a binary number respectively.

1 = 0001
0 = 0000
10 = 0001 0000

Four-digit binary numbers can originally represent decimal numbers from 0 to 15, but in BCD, the numbers from 10 (1010) to 15 (1111) are not used at all. Although this is a wasteful representation method for computers, it is easy for humans to read.