what is the subnet mask corresponding to a shorthand of /21?1.0 Marks255.255.248.0255.255.255.248255.255.248.31255.255.255.31

Break Down the Problem

1. Identify the shorthand notation (/21) and its significance in subnetting.
2. Translate the /21 notation into a subnet mask.

Relevant Concepts

1. A subnet mask in CIDR notation (e.g., /21) indicates the number of bits reserved for the network portion of the address.
2. A /21 subnet mask means that the first 21 bits are for the network, and the remaining bits (out of 32) are for hosts.

Analysis and Detail

1. In binary, the first 21 bits are set to 1:

   • 11111111.11111111.11111000.00000000
   • The remaining 11 bits (32 - 21) are set to 0.

2. Convert the binary segments into decimal:

   • 11111111 = 255
   • 11111111 = 255
   • 11111000 = 248
   • 00000000 = 0

3. Therefore, the subnet mask in decimal is:

   • 255.255.248.0

Verify and Summarize

• The calculation confirms the corresponding subnet mask for /21 is indeed 255.255.248.0.

Final Answer

The subnet mask corresponding to a shorthand of /21 is 255.255.248.0.