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"1. what is the rang of usable IP addresses for the following IP subnet?
What is the bradcast address for the subnet? 10.150.100.96/27 "

10.150.100.96/27 is a "5-bit" subnet (32-27=5). There are 32 IP's in the subnet. The "base" address or first IP of the range is simply 10.150.100.96, and is unusable as a host address. The 30 Usable IPs are 10.150.100.97...10.150.100.126 The last one, 10.150.100.127, is the broadcast address for the subnet. Similar to the network base address, the broadcast address is not usable as a host address.

Below are calculations.

Address: 10.150.100.96
In binary: 00001010.10010110.01100100.011 00000

Netmask: 255.255.255.224 = 27
In binary: 11111111.11111111.11111111.111 00000

Network: 10.150.100.96/27 ...