Final answer:
The maximum number of active devices on a subnet with a mask of 255.255.255.248 is 6. This calculation is derived from the formula 2^n - 2, using 3 bits available for hosts, which equals 8 total addresses minus 2 reserved addresses.
Step-by-step explanation:
The maximum number of devices that can be active on a subnet with a mask of 255.255.255.248 can be calculated using subnetting principles. This mask corresponds to a prefix notation of /29, which represents 29 bits used for the network address and the remaining 3 bits for host addresses. Since two addresses are reserved for the network and broadcast addresses, you subtract 2 from the total number of possible addresses.
To find the number of available host addresses, you use the formula 2^n - 2, where n is the number of bits available for host addresses. In this case, n = 3. Therefore, the calculation is 2^3 - 2 which equals 6. So, there can be 6 active devices on this subnet at one time.