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?

  1. A.

    202.16.0.0/19

  2. B.

    202.17.64.0/19

  3. C.

    202.16.32.0/19

  4. 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

Explore the full course: Gate Guidance By Sanchit Sir