Unlock the simplicity of converting Binary Coded Decimal (BCD) to standard decimal numbers with our intuitive online decoder. This tool is essential for anyone working with digital systems, microcontrollers, or data display, providing accurate conversions quickly. Understand how each 4-bit BCD group translates to a single decimal digit, simplifying complex computations and data interpretation for engineers, students, and hobbyists.
Formula:
BCD, or Binary Coded Decimal, represents each decimal digit (0-9) by its own 4-bit binary code. Unlike pure binary, which converts the entire number, BCD converts each digit individually.
For example, the decimal number 123 would be represented in BCD as 0001 0010 0011. Each 4-bit group corresponds to one decimal digit.
The conversion process involves taking each 4-bit segment of the BCD input and converting it to its equivalent decimal digit (0-9). For instance:
0000= 00001= 10010= 20011= 30100= 40101= 50110= 60111= 71000= 81001= 9
Any 4-bit combination above 1001 (e.g., 1010, 1111) is invalid in standard BCD and will be flagged as an error by this decoder.