Question

a router is blasting out ip packets whose total length (data plus header) is 1024 bytes. assuming that packets live for 10 sec, what is the maximum line speed the router can operate at without danger of cycling through the ip datagram id number space?

Answer 1

The maximum line speed that the router can operate at without danger of cycling through the IP datagram ID number space is approximately 671.09 kilobytes per second (KB/s).

Step-by-step explanation:

The maximum line speed that the router can operate at without cycling through the IP datagram ID number space can be determined by considering the maximum number of different IP datagram ID numbers that can be generated within the given time period. The IPv4 header includes a 16-bit field for the datagram ID. Therefore, the maximum number of different ID numbers that can be generated is 2^16 = 65536.

Since each packet has a total length of 1024 bytes, the router can transmit a maximum of 65536 packets within 10 seconds. To find the maximum line speed, we can divide the total number of bytes transmitted by the time period in seconds. Therefore, the maximum line speed is (65536 packets) * (1024 bytes/packet) / (10 seconds) = 671088.64 bytes per second = 671.09 kilobytes per second (KB/s).

Answer 2

To calculate the maximum line speed a router can operate at without cycling through the IP datagram ID number space, divide the total length of the packets by the packet life. In this case, it is 102.4 bytes per second.

Step-by-step explanation:

To calculate the maximum line speed the router can operate at without cycling through the IP datagram ID number space, we need to consider the time it takes for a packet to live and the total length of the packets. The total length is given as 1024 bytes, and the packet lives for 10 seconds.

We can use the formula:

Maximum line speed = Total length / Packet life

Substituting the given values, we get:

Maximum line speed = 1024 bytes / 10 seconds

Calculating this, the maximum line speed the router can operate at without danger of cycling through the IP datagram ID number space is 102.4 bytes per second.