Final answer:
For error detection using CRC-32, 32 bits need to be added to the data stream, which equals 4 extra bytesTherefore, to enable error detection using CRC-32 with the given polynomial, we need to add 250 extra bytes to the data stream..
Step-by-step explanation:
When using CRC-32, which stands for Cyclic Redundancy Check, the number of extra bits added to the data stream is equal to the degree of the generator polynomial. The generator polynomial given is x³² + x²¶ + x²³ + x²² + x¹¶ + x¹² + x¹¹ + x¹° + x¸ + x· + xµ + x´ + x² + x + 1, which is of degree 32. Therefore, you need to add 32 bits to enable error detection using CRC. Since there are 8 bits in a byte, you will need to add 4 bytes to the data stream.To enable error detection using CRC, the number of extra bytes that need to be added to the data stream depends on the length of the CRC-32 code, which is 32 bits or 4 bytes.
This means that for every 4 bytes of the data stream, 4 extra bytes must be added for error detection using CRC-32.In the given scenario, the data stream consists of 1000 bytes. To calculate the number of extra bytes needed, we can divide 1000 by 4. The result is 250.Therefore, to enable error detection using CRC-32 with the given polynomial, we need to add 250 extra bytes to the data stream.