Final answer:
To check the correctness of received information using the key '1011', an error-detecting code like CRC is used by dividing the info with the key and checking if the remainder is zero, indicating no errors. However, without the exact method, we can't verify the data.
Step-by-step explanation:
The question revolves around checking the correctness of received information using a specified key in the context of error detection and correction, which is a topic within the realm of Computers and Technology. Given the key 1011 and received information 1001110, we can infer that we need to perform a check using an error-detecting code such as CRC (Cyclic Redundancy Check). Using the key, we would divide the received information to see if the remainder is zero, indicating no errors. If the answer is a non-zero remainder, this would signify that the information has been corrupted during transmission. However, without further information about the error detection technique used or how the key should be applied, we cannot conclusively verify the received information.
To check if the received infoⁿ is correct using the key 1011a, we need to perform bitwise XOR (exclusive OR) operation between the received infoⁿ and the key. If the result is all zeros, then the received infoⁿ is correct. Otherwise, it contains errors.
Let's perform the XOR operation:
Original infoⁿ: 1001110b (received infoⁿ)
XOR with key: 1011a
Result: 0010111
The result is not all zeros, which means that the received infoⁿ contains errors.