An ISP having an address block 202.16.0.0/15 assigns a block of 6000 IP…
2026
An ISP having an address block 202.16.0.0/15 assigns a block of 6000 IP addresses to a client, using the classless internet domain routing (CIDR) super-netting approach. Which of the following address blocks can be assigned by the ISP?
- A.
202.16.0.0/19
- B.
202.17.64.0/19
- C.
202.16.32.0/19
- D.
202.17.24.0/19
Attempted by 14 students.
Show answer & explanation
Correct answer: A, B, C
The correct answers are A, B, and C.
Step 1: Determine the Required Block Size
The client requires 6000 IP addresses.
In CIDR, address blocks must contain a power-of-2 number of addresses.
(2^{12} = 4096) (not sufficient)
(2^{13} = 8192) (sufficient)
Hence, the client must be allocated a block of 8192 addresses.
Since (8192 = 2^{13}), 13 bits are needed for host addresses.
Therefore, the prefix length is:
32 − 13 = 19
So, the required subnet size is /19.
Step 2: Determine the ISP's Address Range
The ISP owns the block 202.16.0.0/15.
A /15 network covers all addresses from:
202.16.0.0 to 202.17.255.255
All four options lie within this range.
Step 3: Check Valid /19 Network Boundaries
A /19 subnet mask is:
255.255.224.0
Since 224 = 11100000, the third octet increments in blocks of:
256 − 224 = 32
Therefore, valid /19 network addresses must have a third octet equal to:
0, 32, 64, 96, 128, 160, 192, or 224
Step 4: Evaluate Each Option
A. 202.16.0.0/19
Third octet = 0
0 is a valid multiple of 32
Valid
B. 202.17.64.0/19
Third octet = 64
64 is a valid multiple of 32
Valid
C. 202.16.32.0/19
Third octet = 32
32 is a valid multiple of 32
Valid
D. 202.17.24.0/19
Third octet = 24
24 is not a multiple of 32
Therefore, it is not the starting address of a valid /19 subnet
Invalid
Hence, the correct options are:
A. 202.16.0.0/19
B. 202.17.64.0/19
C. 202.16.32.0/19
D. 202.17.24.0/19