Final answer:
To check if the received infoⁿ is correct using the key 1011a, perform a XOR operation between the received infoⁿ and the key. If the result matches the received infoⁿ, it is correct.
Step-by-step explanation:
The question is asking to check if the received infoⁿ is correct using the key 1011a. In this case, the received infoⁿ is 1001110b and the receive infoⁿ is 100110.
To check if the received infoⁿ is correct, we compare it with the key. We can use boolean algebra to perform the comparison. For each corresponding bit, we perform the XOR operation. If the result is equal to 0, then the received infoⁿ is correct.
In this case, let's compare the received infoⁿ and the key:
- received infoⁿ: 1001110b
- key: 1011a
We perform the XOR operation:
1 ^ 1 = 0
0 ^ 0 = 0
0 ^ 1 = 1
1 ^ a = a
As the last bit in the key is 'a', we keep it as 'a' as it cannot be simplified further. So, the result of the XOR operation is: 011a.
Comparing this result with the receive infoⁿ: 011a = 100110
Since the receive infoⁿ matches the result of the XOR operation, we can conclude that the received infoⁿ is correct using the given key.