ACtE08 · Chapter 8Mock Test 02🏛️ Past Licensure QuestionID: a2bf16ba
In CRC (Cyclic Redundancy Check), if the dataword is 111111, the divisor is 1010, and the remainder is 110, what is the codeword transmitted to the receiver?
In CRC (Cyclic Redundancy Check), if the dataword is 111111, the divisor is 1010, and the remainder is 110, what is the codeword transmitted to the receiver?
Multiple Choice Options
- A
111111011
- B
111111101
- C✓ Correct Option
111111110
- D
110111111
Detailed Technical Solution & Explanation
In Cyclic Redundancy Check (CRC) error detection:
1. The divisor (generator polynomial) has length bits (), meaning the CRC check sequence (remainder) has length bits.
2. The dataword consists of 6 bits: 111111.
3. The generated remainder (FCS) is 3 bits: 110.
4. The transmitted codeword is constructed by appending the remainder to the original dataword (or modulo-2 adding the remainder to the zero-padded dataword):
Option Analysis:
•
Option A (111111011): Incorrect; appends
011 instead of 110.•
Option B (111111101): Incorrect; appends
101 instead of 110.•
Option C (111111110): Correct; accurately appends the 3-bit remainder
110 to the dataword 111111.•
Option D (110111111): Incorrect; prepends the remainder instead of appending it.
Reference: Mock Test 02NEC Licensure Syllabus