Answer:
n>10
Step-by-step explanation:
In other to get the minimal number of checking bits that are required for the detection and correction of all single-bit errors for 1024 data bits, we will use the expression
2^n - 1 ≥ 1024 + n where:
n is the minimal number of checking bits needed
Let's assume n = 10 to check whether the inequality will be true for the value
Left hand side:
2^n-1
= 2^10-1
= 1024-1
= 1023
For the right Hand of the equation
1024+n
= 1024+10
= 1034
We can see that 2^n - 1 ≥ 1024 is not true for value of n = 10, since 1023<1034.
Hence for the inequality to be true, n must be values greater than 10 i.e n>10 e.g 11 checking bits, etc.
Hence the minimal amount of checking bit required is 11, n>10 means we can also have other values greater than 10.