Final answer:
Performing modulo-2 division, we find that none of the given data values are divisible by the generator polynomial 10011.
Step-by-step explanation:
To determine whether a given data value is divisible by a generator polynomial, we perform a modulo-2 division operation. In this case, the generator polynomial is represented by 10011 which has a degree of 4. We can perform the modulo-2 division by dividing the given data value by the generator polynomial using binary long division.
A) For d = 11010:
10011
11010 | 100010
-10011
_____
1000
1001
____
110
1001
___
111
1001
___
10
The remainder is 10, which means the given data value is not divisible by the generator polynomial.
B) For d = 10101:
10011
10101 | 100000
-10011
_____
10001
10011
_____
101
10011
____
10
The remainder is 10, which means the given data value is not divisible by the generator polynomial.
C) For d = 01100:
10011
01100 | 001001
-00000
_____
10011
10011
_____
10100
10011
_____
1101
10011
_____
1100
The remainder is 1100, which means the given data value is not divisible by the generator polynomial.
D) For d = 11111:
10011
11111 | 1001010
-10011
__________
11010
10011
______
1001
10011
_____
1011
10011
_____
1100
The remainder is 1100, which means the given data value is not divisible by the generator polynomial.