Using the BCD correction rule, what decimal value is represented by the…

Concept

In 8421 BCD, each decimal digit is stored in one 4-bit group. A valid BCD digit ranges from 0000 to 1001.

In BCD addition, add 0110 whenever a digit result exceeds 1001 or produces a carry-out; propagate that carry to the next group.

Application

1. Pad and group the uncorrected sum around the radix point: 0001 1011 . 1100.

2. The groups 1011 and 1100 are outside the valid BCD digit range, so add 0110 to each of those groups.

3. Compute 0001 1011 . 1100 + 0000 0110 . 0110 = 0010 0010 . 0010, propagating the carries from right to left.

Cross-check

Decoding the corrected groups separately gives 0010 → 2, 0010 → 2, and the fractional group 0010 → 2. Every group now lies between 0000 and 1001.

Result

Therefore, the represented decimal value is 22.2.