BCD à décimal

Introduction: Binary-Coded Decimal (BCD) is a system of binary encoding for decimal numbers where each digit of a decimal number is represented by a specific binary sequence. The process of 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 process of conversion entails transforming each of these four-bit sequences back into their decimal equivalents. Steps for BCD to Decimal Conversion:

Separate the BCD Number: Divide the BCD number into its individual digits, with each represented by four bits. Convert Each Group: Transform each group of four bits into its equivalent decimal digit. Concatenate Decimal Digits: Join these decimal digits to form the final decimal number. Example:

Take the BCD number: 0101 1001. Split it into two groups: 0101 (representing the first digit) and 1001 (representing the second digit). Convert each group: 0101 in binary equals 5 in decimal, and 1001 in binary equals 9 in decimal. Therefore, the decimal equivalent of the BCD number 0101 1001 is 59. Key Points to Remember:

Each four-bit group in BCD corresponds to a single decimal digit. BCD is commonly used in digital systems where a direct representation of decimal digits is necessary.