Question

Which of the following CRC generators guarantee the detection of a single bit error?
a.x3+x+1
b.x4+x
c.1
d.x2+1

Answer 1

Answer:

a. x3+x+1

Given CRC generator x3 + x + 1

This generator has more than one term and the coefficient of x^0 is 1. So, the CRC generator x3 + x +l is satisfying both criteria.

Answer 2

The x2+1 is the following CRC generators guarantee the detection of a single bit error.

• It is an error deduction checker.
• The CRC stands for Cyclic Redundancy Check.
• It helps to check the errors in the computer.
• The function is to check the error in the single data.
• It should follow single bit property which is to detect single bit errors, a CRC generator has more than one term and the coefficient of x⁰  is 1.
• (a) x³+x+1
• It satisfies both the criteria as it has more tan 1 term and coefficient of x⁰ is 1.It guarantees the detection of single bit errors
• (b)x⁴+x²
• It satisfies the first condition but not the second condition. So, it does not guarantee single bit error.
• (c) 1
• It satisfies the second condition but does not satisfy the first condition. So, it does not guarantee single bit error.
• (d) x² + 1
• It satisfies both the conditions. Therefore, It guarantees the detection of single bit errors.

Therefore, the x2+1 is the following CRC generators guarantee the detection of a single bit error.

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