What is the forbidden code in BCD?

When dealing with Binary-Coded Decimal (BCD) systems, it's crucial to be aware of certain forbidden numbers. These numbers range from 1010 (decimal 10) to 1111 (decimal 15). Understanding this limitation is fundamental to accurately represent decimal digits in BCD format.

The reason behind this restriction lies in the way BCD encodes decimal digits. Each digit is assigned a unique four-bit pattern, ensuring a direct and unambiguous conversion between decimal and binary representations.

For instance, the decimal number 12 is not represented as 1100 in BCD, as it might initially seem intuitive in binary notation. Instead, it's encoded as 0001 0010bcd, adhering to the BCD convention where each decimal digit occupies a fixed four-bit space.

This distinction is vital for ensuring data integrity and preventing misinterpretations, particularly in systems where both binary and decimal representations coexist. Ignoring the forbidden BCD numbers can lead to errors or unexpected behaviors in electronic circuits and software applications.

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