Understanding BCD Code Conversion: Decimal 325

This solution explains how to convert a decimal number into its Binary Coded Decimal (BCD) format, specifically focusing on the decimal number 325.

What is BCD Code?

Binary Coded Decimal (BCD) is a number system representation where each decimal digit (0 through 9) is represented by a unique 4-bit binary code. It's commonly used in digital systems where decimal input or output is required.

Step-by-Step Conversion of Decimal 325 to BCD

To convert the decimal number 325 into BCD, we follow these steps:

1. Separate Digits: First, break down the decimal number 325 into its individual digits: 3, 2, and 5.
2. Convert Each Digit to 4-Bit BCD: Convert each decimal digit into its corresponding 4-bit binary equivalent using the standard BCD mapping:
   • Decimal digit 3 is represented as 0011 in BCD.
   • Decimal digit 2 is represented as 0010 in BCD.
   • Decimal digit 5 is represented as 0101 in BCD.
3. Combine BCD Codes: Concatenate the 4-bit BCD codes for each digit in the same order as the original decimal number.

   Combining the BCD codes for 3, 2, and 5, we get: 0011 0010 0101.

Comparing with Options

Now, let's compare the resulting BCD code (0011 0010 0101) with the given options:

• Option 1: 0011 0010 0101 - This matches our calculated BCD code.
• Option 2: 1101 1010 1100 - Incorrect.
• Option 3: 1111 1010 1101 - Incorrect.
• Option 4: 1100 1010 1101 - Incorrect.

Therefore, the correct BCD code for the decimal number 325 is 0011 0010 0101.