How can IPv6 calculate many subnets quickly?

Hello folks,

I'm writing an exam soon on IPv6 subnetting. I've understood the topic so far, but the problem is that the teacher requires us to calculate 8,000 or more subnets. But here's my problem:

The task will be as follows:

Opposite: Prefix FD00:1:1:C000::/51

Total: The 8000th network

Total:

1 network: ''

2 Network: ''

3 Network: ''

4 Network: ''

8000 network: ?

The teacher wants to see 4-6 nets first so the modulo can be recognized. Then, the student is asked to determine the last net. But what's the fastest way to do this?

I can't count to 8000 in binary. I'll still be working on that at Christmas.

Do you know a trick for solving this quickly? A non-programmable calculator is allowed in the exam, and my Texas Instruments TI-30 Mathprint can convert between bin/hex/ and decimal. Pretty handy 🙂

Thank you for your feedback

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TechPech1984
2 years ago

well binary 8000 is not that much

 8000 = 1111 1010 000 00

if you have 51 bits, pull the

51-13

so 128-51 + 13 => the host part, the 13 bits are your subnet parts

the first of which is 0 is the network ID, the last of which is the broadcast 11111

and each hex character is a 4 bit value, ergo quite easy to write.

FD00 0001 0001 000C 000::/51

 124 120 116 112 108 104 100 96 92 88 84 80 FD 0 0: 1: 1: 1111 1101 0000 0000 0000 0000 0000 0001 0000 0000 0000 0001 76 72 68 64 60 56 52 0 0 0 C: 0 0 0 :: /51 0000 0000 0000 1100 0000 0000 0000 0..

now the 8000 come running once with 0s appended and once with 1s appended

 52 48 44 40 38 0111 1101 0000 00 00 000000000000000000... 52 48 44 40 38 0111 1101 0000 00 11 111111111111111111... also 0111 1101 0000 00 00 0000 ... 7 D 0 0 0 ... 0111 1101 0000 00 11 1111 ... 7 D 0 3 F ... ohne gewähr .