Conversation with Merlin [email protected] · Sat Dec 02 2023

What does "200.20.11.144/27" mean? How do I break this down and understand this IP Address? What does 27 mean? How do I know the Network Address, Subnet Mask, possible number of subnets and valid Host Addresses range inside those subnets?

The IP address "200.20.11.144/27" is a specific notation used in networking to denote the network address and its associated subnet mask.

Here's the breakdown and understanding of this IP address:

  1. Network Address: The first part of the IP address "200.20.11.144" represents the network address.

  2. Subnet Mask: The "/27" at the end indicates the subnet mask in CIDR notation. In this case, the subnet mask is 27 bits long, and it signifies that the first 27 bits of the IP address the network portion, leaving 32-27=5 bits for the host portion.

Understanding the subnet mask:

  • In binary, a subnet mask of27 bits would look like: 11111111.11111111.11111111.11100000
  • In decimal, this equates to: 255..255.224

  1. Number of Subnets: With a subnet mask of /27, you can create 2^(32-27) = 2^5 = 32 subnets.

  2. Valid Host Addresses: Inside each subnet, the valid range of host addresses can be calculated using the subnet mask:

  • Network Address: 200.20.11.144
  • Broadcast Address: 200.20.11.159
  • Valid Host Address Range: 200.20.11.145 to 200.20.11.158 (200.20.11.145 is the first usable IP address in the subnet, and 200.20.11.158 is the last usable IP address before the broadcast address).

In summary:

  • Network Address: 200.20.11.144
  • Subnet Mask: 255.255.255.224 (/27 in CIDR notation)
  • Number of Subnets: 32
  • Valid Host Address Range in Each Subnet: 200.20.11.145 to 200.20.11.158

what is the meaning of co-efficient in indices? In Maths?

In mathematics, particularly in the context of indices or exponents, a coefficient is a constant that multiplied by a variable or a power of a variable.

When we have an expression such as "a * x^n", the coefficient "a" is the constant factor by which the variable "x" raised to the power "n" is multiplied. In this context, it represents the multiplier of the variable with the given exponent.

For example, in the expression "3x^2", the coefficient is 3. Similarly, in the expression "53", the coefficient is 5. The coefficient is an essential part of the term as it provides information about the scaling or magnitude of the variable raised to a certain power.