How to convert an IPv4 to an IPv6 address

Hi,

I would like to understand the mathematical process of converting an ipv4 address to an ipv6.
For example, if I use google ip to convert to ipv6 it looks like this.

216.58.220.110 ->  0:0:0:0:0:ffff:d83a:dc6e

Can you explain?

Cheers
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defreyAsked:
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JustInCaseCommented:
216.               58.             220.               110  convert to binary
11011000. 00111010. 11011100. 01101110      then each 4 consecutive digits convert to Hex
1101 1000. 0011 1010. 1101 1100. 0110 1110
   d        8       3        a    :    d         c        6         e        
for Pv4-mapped IPv6 address  add 0:0:0:0:0:ffff:  <hex number>                              
for 6to4 address  add 2002: <hex number> :0:0:0:0:0
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Dave BaldwinFixer of ProblemsCommented:
More confusing info here:  https://en.wikipedia.org/wiki/IPv6_address   Converting to any IPv6 address may not produce any kind of useful result because the networks between you and your network destination must all support the IPv6 address you are trying to use.  Many ISPs do Not currently support IPv6.
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Don JohnstonInstructorCommented:
I would like to understand the mathematical process of converting an ipv4 address to an ipv6.
There really isn't one.  At least an official standard.  

As for the "conversion calculators", I just went to 5 different ones and every single one generated a different result.

Most of them convert the IPv4 decimal address to hex and them do things like add FFFF to the v6 address somewhere and pad the rest with 0's or some variation.
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Richard DanekeTrainerCommented:
In a way, everyone is saying that you do not need to convert a ipv4 address to use an ipv6 address in your network.
To explain, ipv4 is a series of four numbers - each number between 0 and 255 and separated with the dot (.).  [216.58.220.110]
To provide for more addresses, the ipv6  network has been implemented which uses 8 sets of numbers separated by a colon(:).  Each group is a number between 0 and 65535.  Eight numbers that can vary up to 65535 versus four numbers that max at 255 - it is clear that many more addresses are available in the new numbering system.
These numbers are stored in hexadecimal - a base 16 numbering system from 0-9 then a,b,c,d,e,f to count to 16(hexadecimal).  [0:0:0:0:0:ffff:d83a:dc6e]  
Although the network adapters can communicate using both address systems at the same time, the ipv4 numbers do not get 'converted' to use the ipv6.  
A separate DHCP and DNS network services provides address resolution to use the ipv6 numbers.  There is much more on the numbering system available.  Ipv6 addresses can be abbreviated, etc.
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