Computer Science Engineering (CSE) Exam > Computer Science Engineering (CSE) Questions > In CRC if the data unit is 100111001 and the ...
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In CRC if the data unit is 100111001 and the divisor is 1011 then what is dividend at the receiver?
- a)100111001101
- b)100111001011
- c)100111001
- d)100111001110
Correct answer is option 'B'. Can you explain this answer?
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In CRC if the data unit is 100111001 and the divisor is 1011 then what...
So dividend at receiver end = 100111001011.
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In CRC if the data unit is 100111001 and the divisor is 1011 then what...
To find the dividend at the receiver in CRC (Cyclic Redundancy Check), we need to perform polynomial division. The given data unit is 100111001 and the divisor is 1011.
1. Convert the data unit into a polynomial form:
- Data unit: 100111001
- Polynomial: x^8 + x^5 + x^4 + x^3 + 1
2. Convert the divisor into a polynomial form:
- Divisor: 1011
- Polynomial: x^3 + x + 1
3. Perform polynomial division:
- Divide the first bit of the data unit (x^8) by the divisor (x^3 + x + 1). The result is x^5.
- Multiply the divisor (x^3 + x + 1) by the result obtained (x^5) and subtract it from the data unit (x^8 + x^5 + x^4 + x^3 + 1). The result is x^4 + x^3 + 1.
- Repeat the process by dividing the highest remaining term (x^4) by the divisor (x^3 + x + 1). The result is x.
- Multiply the divisor (x^3 + x + 1) by the result obtained (x) and subtract it from the remaining terms (x^4 + x^3 + 1). The result is 0.
- The final remainder is 0.
4. The dividend at the receiver is obtained by appending the remainder to the original data unit:
- Dividend: 100111001 + 00 (remainder)
- Dividend: 10011100100
Therefore, the correct option is B) 100111001011.
1. Convert the data unit into a polynomial form:
- Data unit: 100111001
- Polynomial: x^8 + x^5 + x^4 + x^3 + 1
2. Convert the divisor into a polynomial form:
- Divisor: 1011
- Polynomial: x^3 + x + 1
3. Perform polynomial division:
- Divide the first bit of the data unit (x^8) by the divisor (x^3 + x + 1). The result is x^5.
- Multiply the divisor (x^3 + x + 1) by the result obtained (x^5) and subtract it from the data unit (x^8 + x^5 + x^4 + x^3 + 1). The result is x^4 + x^3 + 1.
- Repeat the process by dividing the highest remaining term (x^4) by the divisor (x^3 + x + 1). The result is x.
- Multiply the divisor (x^3 + x + 1) by the result obtained (x) and subtract it from the remaining terms (x^4 + x^3 + 1). The result is 0.
- The final remainder is 0.
4. The dividend at the receiver is obtained by appending the remainder to the original data unit:
- Dividend: 100111001 + 00 (remainder)
- Dividend: 10011100100
Therefore, the correct option is B) 100111001011.
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In CRC if the data unit is 100111001 and the divisor is 1011 then what is dividend at the receiver?a)100111001101b)100111001011c)100111001d)100111001110Correct answer is option 'B'. Can you explain this answer?
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