Convert IPv4 Addresses: Binary to Dotted Decimal & Vice Versa

we are now in part two of ipv4 addresses we will start the session with outcomes upon the completion of the session the

learner will be able to understand the conversion of ip address from dot decimal to binary and vice versa so we

are going to ultimately focus on the conversion of ipv4 address from dota decimal to binary and from binary to dot

decimal let's start with the conversion process in order to convert the decimal to binary or from binary to decimal of

the ipv4 address we are going to follow this scheme we need to remember these 8 digits why ipv4 addresses are 32 bits

long how these 32 bits are organized these 32 bits are organized in four octets so every octet is going to be

with 8 bits these are the 8 digits which are going to be used for both the conversion

i will give you an easy way to remember these eight digits just start with one just multiply one

with two we will get the next digit that is 2 just multiply this with 2 we will get the next digit which is 4. just

multiply 4 with 2 we will get 8 8 into 2 is 16 16 into 2 is 32 32 into 2 it is 64 and 64 into 2 is 128 we need to stop the

sequence up to this why because we got 8 digits with the help of these 8 digits we can get 8 bits easily in other words

it is simply 2 power 0 that is this is 2 power 0 this is 2 power 1 this is 2 part 2 and up to 2 part 7 since it is

starting with 2 part 0 we need to end with 2 part 7 so that we will be getting the 8 bits

using this technique we can convert the dotted decimal to binary and the binary to dot a decimal let's start with the

first example example number one convert the ipv4 address from binary to dotted decimal notation

and we are given with the binary notation so we are required to convert this into dot a decimal so the solution

involves the methodology which i had projected so i have brought in that table now how to convert the given

binary into dotted decibel we know ipv4 addresses are of four octets that is 32 bits so let's start with the first octet

that is this software that is one six zeros one eight bits we have just we are going to take this enter 8 bits and just

like that we are going to place in this place so just observe i am going to place this one six zeroes and one just

like this one six zeros and one and that's it we are at the verge of the conversion of the binary to dot a

decimal of the first octet it is very simple you know then what is the decimal value the decimal value is the summation

of the places where we have one so where we have one we have one against 128 and we have one against one so we are going

to take only these two places because in these two places only we have the binary ones can you notice the binary ones so

the answer is 128 plus 1 128 plus 1 is 129 the first octet is 129. let's move on to the next octet so

what we are going to do we are going to take this and just like that we are going to place it and where on all we

have one we have one against eight two and one so the decimal notation is eight plus two plus one which is this eight

plus two plus one so eight plus two plus one is eleven so the second octet is eleven already we know this is one

twenty nine now this is eleven let's move on to the third octet the third octet just place this here and where all

we have one we have one again 64 8

2 and 1 so 64 plus 8 plus 2 plus 1 is 75 let's now move on to the last octet which is triple 1 0 double 1 double one

so i'm gonna place triple one zero double one double one where don't all we have one we have one in seven places so

we are going to take the seven places that is 128 plus 64 plus 32 plus eight plus 4 plus 2 plus 1 which is 239

and the last octet is 239 we can also solve this in other way when all bits are 1 what is the maximum

number we will get we know when all 8 bits are 1 in an ip address will be getting

255 so 255 we will consider this all bits to be 1 which is 255 let's subtract only 16 so 255 minus 16

we will be getting 239 so we can take any approach in order to solve this and that's it we saw the conversion of the

binary to dot a decimal notation so the answer for example one is 129.11.75.239 let's solve example number two in

example number two we are given with the dotted decimal notation and we are required to convert it into binary

notation so the question is convert the ipv4 address from daughter decimal to binary notation and the ip address is

given so for solving this also we are going to use the same methodology so let's focus on the first octet which is

145 how did i get this binary value it's very simple in order to get 145 what are the numbers we need from these set of

numbers from these eight numbers what are the numbers we need in order to get 145 so definitely we need 128 right 128

so i am putting a 1 against 128 so how many it is shortage 145 minus 128 we are shortage of 17 right one seven so how to

get 17 so 17 can be obtained using 16 and one so i am putting a 1 against 16 and 1 so we got 128 plus 16 plus 1 which

is 145 just fill 0s in the remaining places so we will be getting 1 0 0 1 0 0 0 1 which is this so the binary

equivalent for 145 is 1 0 one triple zero one let's move on to the second octet which is fourteen how can we get

fourteen with the help of these eight numbers so fourteen can be obtained with the help of eight so we need eight

definitely and how many shortage fourteen minus eight is six so we are six shortage we are putting one against

four and two because four plus two is six so eight plus four plus two is fourteen so we are putting one against

eight four and two so the binary equivalent for fourteen is double zero double zero triple one zero that is this

double zero double zero triple one zero and let's move on to the third octet which is six how can we get six it's

simply four plus two right so just use four plus two and fill zeros in the remaining places so we will be getting

this as the binary equivalent for the decimal six let's move on to the last octet which is eight so we can get eight

with the help of this place only so we are putting one against eight and we don't want other positions so just fill

zeros in other position so we'll be getting zero zero zero zero one triple zero so we are adopting this strategy

and converting the dotted decimal to binary and binary to dot a decimal some may have a question in their mind for

example let's take this number 14. for 14 can we get another possibility no there can be only one possibility when

we go with this approach because we can't put a 1 against 16 we need only 14 right so we can't use 16 we need only 14

so 14 can be obtained with only one possibility using this approach and what's the final answer

the final answer for this question is this before we conclude let's see the

homework question we have two questions question number one change the following ip address from

dotted decimal notation to binary notation and we are given with the ipv4 address 208.34.54.1

and question number two change the following ip address from binary notation to dotted decimal notation and

we are given with a binary notation pause this video for a while and solve this homework problem and post your

answers in the comment section i hope now you know the conversion of ipv4 address from daughter decimal to

binary and vice versa i hope you guys enjoyed the lecture and thank you for watching

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