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Explain how BCD addition is carried out.

Question

Explain how BCD addition is carried out.

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Solution

BCD (Binary Coded Decimal) addition is carried out in the following steps:

  1. Step 1: Start by adding the least significant digits of the two BCD numbers, just like in binary addition.

  2. Step 2: If the sum obtained in step 1 is less than or equal to 9, move to the next pair of digits.

  3. Step 3: If the sum obtained in step 1 is greater than 9, add 6 (0110 in binary) to the sum. This is because in BCD, a digit can't be greater than 9.

  4. Step 4: If a carry is generated from the addition in step 1, add this carry to the next pair of digits along with 6.

  5. Step 5: Repeat steps 1-4 for the remaining pairs of digits.

  6. Step 6: The final result is the BCD sum of the two numbers.

Remember, BCD is a class of binary encodings of decimal numbers where each decimal digit is represented by a fixed number of bits, usually four or eight.

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