ACtE08 ยท Chapter 8Mock Test 04๐๏ธ Past Licensure QuestionID: ededa69e
The Excess-3 code of the decimal number 26 is:
The Excess-3 code of the decimal number 26 is:
Multiple Choice Options
- Aโ Correct Option
01011001
- B
01001001
- C
10001001
- D
01001101
Detailed Technical Solution & Explanation
Excess-3 (XS-3) is an unweighted, self-complementing binary-coded decimal (BCD) code. To determine the Excess-3 code of a decimal number, add 3 () to each decimal digit individually, then convert each resulting sum into its 4-bit binary equivalent:
1. Tens digit:
2. Units digit:
Combining the 4-bit groups yields: 0101 1001.
Option Analysis:
โข
Option A (01011001): Correct; (
0101) and (1001).โข
Option B (01001001): Incorrect; represents decimal 16 in Excess-3 ().
โข
Option C (10001001): Incorrect; first group
1000 corresponds to .โข
Option D (01001101): Incorrect; second group
1101 is binary 13.Reference: Mock Test 04NEC Licensure Syllabus