Introduction:

Binary-Coded Decimal (BCD) is a binary encoding system for decimal numbers where each digit of a decimal number is represented by its own binary sequence. Converting BCD to decimal involves translating these binary sequences back into decimal numbers.



Understanding BCD to Decimal Conversion:



In BCD, each decimal digit (0-9) is represented by a four-bit binary number.

The conversion process involves converting each of these four-bit sequences into their decimal equivalents.

Steps for BCD to Decimal Conversion:



Separate the BCD number into its individual digits, each represented by four bits.

Convert each group of four bits to its equivalent decimal digit.

Concatenate these decimal digits to form the final decimal number.

Example:



Consider a BCD number: 0101 1001.

Break it into two groups: 0101 (representing the first digit) and 1001 (representing the second digit).

Convert each group: 0101 in binary is 5 in decimal, and 1001 in binary is 9 in decimal.

The decimal equivalent of the BCD number 0101 1001 is 59.

Key Points to Remember:



Each group of four bits in BCD corresponds to a single decimal digit.

BCD is used in digital systems where a direct representation of decimal digits is needed.