A network administrator prepares a VLAN for a new office while planning for minimal IP...

To support about 800 workstations with minimal IP waste , you choose the smallest subnet that provides at least 800 usable host addresses. In IPv4, usable hosts per subnet are calculated as 2^(host bits) − 2 (subtracting network and broadcast addresses). A /22 leaves 10 host bits (32 − 22 = 10), providing 2^10 − 2 = 1024 − 2 = 1022 usable addresses—enough for 800 devices with relatively low waste.

Check the other options: /23 leaves 9 host bits, giving 2^9 − 2 = 512 − 2 = 510 usable addresses, which is not enough . A /21 provides 2^11 − 2 = 2048 − 2 = 2046 usable addresses—enough, but wastes more than /22. A /20 provides 2^12 − 2 = 4096 − 2 = 4094 usable addresses—much more waste.

Therefore, 10.0.100.0/22 is the best choice that meets the workstation requirement while minimizing unused addresses.