Maximum line speed in MBPS

Question

IP packets whose total length (data plus header) is 16Kb basting out of a router live for 15 seconds. The maximum line speed (in MBPS) of the router can operate at without cycling through the IP datagram identification number space is?

Please help and I am stuck due to 16Kb .

What I know Identification number is 16 bit in IP.

Wrap around Time=Number of byte/Bandwidth.

Thanks :)

Answer 1

Since ID field in an IP packet is 16 bits long, you can have 2¹⁶ unique packet IDs. Therefore we can send 2¹⁶ =65535 packets without cycling through the IP datagram IDs. 

We need to transmit these 65535 packets in 15 seconds, so # of packets that need to be transmitted per second= 65535/15=4369 

Packet size=16 Kilo bits(Kb)

Max line speed of router( in Mega Bytes per second)= (4369*16)/1000*8 =8.738 MBps

Comments

ok can you please explain conversion of kilo bits to mega byte.

ok I got it

1Kb ---->0.001Mb

16Kb---->?

?=16kb*0.001Mb

Now, 1B ------>8 bit

?------>(16*0.001)

? =(16*0.001)/8 MB

Correct me if I am wrong.

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Here is the simple thing

1Mbps = 10^6$ bits/sec

1Kbps = 10^3$ bit/sec 

Remember this conversion is valid only for bandwidth conversion