A network has an address of 206.47.132.0 and a network mask of 255.255.254.0. How many subnetworks can be created if each subnet must have at least 25 hosts?

To determine how many subnets can be created with the given network address of 206.47.132.0 and a subnet mask of 255.255.254.0, let’s break down the calculation.

First, we need to analyze the subnet mask. The given subnet mask in binary is 11111111.11111111.11111110.00000000, which shows that there are 23 bits for the network part (since there are 32 bits total). This means that 9 bits remain for the host portion (32 - 23 = 9).

To accommodate at least 25 hosts in each subnet, we need to find how many bits are required for the host addresses. The formula for calculating the number of usable hosts in a subnet is 2^n - 2, where n is the number of bits available for hosts. The subtraction of 2 accounts for the network and broadcast addresses, which cannot be assigned to hosts.

For at least 25 hosts:

• Calculate: 2^n - 2 ≥ 25

• Testing n = 5: 2^5 - 2 = 32 - 2 = 30 (sufficient for 25 hosts)

• Testing