What is the percentage difference between the number of possible addresses with Ipv4 and Ipv6?

Question

What is the difference in percentage numbers of the ip possibilities of the IPv4 and of IPv6?

Answer 1

As already mentioned, the IPV6 uses 128bit addresses and therefore has 2¹²⁸ numbers of IP possible, ie:

340282366920938463463374607431768211456 possible combinations.

(340 undecilhões 282 decilhões 366 nonilhões 920 octillions 938 setillions 463 sextilhões 463 quintillions 374 quatrilhões 607 trillion 431 billion 768 million 211 thousand 456 )

As the IPV4 uses 32bit addresses and has 2³² numbers of IP possible, which corresponds to:

4294967296 possible combinations

(4 billion 294 million 967 thousand 296)

I mean, it’s a very, very, very high number.

Whereas in the model IPV4 we have something similar to this:

192.168.0.1
4 groups up to 3 decimal digits.

Therefore, for each set of 3 digits we have:

2⁸ * 2⁸ * 2⁸ * 2⁸ = 2³²
for 2⁸ = 256.
2³² = 4294967296

In the IPV6 we have the IP in this way:

2001:0db8:85a3:08d3:1319:8a2e:0370:7344
Eight groups of 4 hexadecimal digits.

This difference in notation made possible a crease greater possibilities, which can be calculated in this way:

(2¹⁶ * 2¹⁶ * 2¹⁶ * 2¹⁶ * 2¹⁶ * 2¹⁶ * 2¹⁶ * 2¹⁶) = 2¹²⁸
as the hexadecimal digits comprise 16 values from 0 to 9 and from A to F then, 2¹²⁸ corresponds to 340282366920938463463374607431768211456 already mentioned.

With a simple rule of 3 we have to:

2¹²⁸ = 100%
2³² = x

2¹²⁸x = 2³²

x = 2³² / 2¹²⁸

x = 1/79228162514264337593543950336
That is, the IPV6 is 79.228.162.514.264.337.593.543.950.336% greater than the IPV4
And the IPV4 possesses:

1.2621774483536188658765704452457967477130296174436807... 10^-29% of the addresses of IPV6

Sources

1. https://www.wolframalpha.cominput?i=%282^16++2 16++2 16++2 16++2 16++2 16++2 16+*+2 16%29
2. https://www.wolframalpha.com/input/? i=%282 8++2 8++2 8+*+2 8%29
3. https://www.wolframalpha.com/input/? i=%282 32%29+%2F+%282 128%29

Answer 2

Free translation of Wikipedia content in English:

Ipv6 uses 128-bit addresses, allowing 2¹²⁸ or 3.4 10³⁸ addresses, i.e., more than 7.9 10²⁸ times more than Ipv4.

This means, as the comments posted below by @Vargas and @tsippert:

• IPV6 is 79,000,000,000,000,000,000,000,000% greater than IPV4
• Ipv4 has only 0.000000000000000000000012632257% of Ipv6 addresses

Answer 3

IPV4 has 32 bits, IPV6 has 128 bits.

It is such an absurdly large value that it is possible to say that IPV4 = 0% of IPV6