# Binary to Decimal Conversion – Number System – Application of Electronics Class 12

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binary to decimal conversion Hello friends

so in today’s video we will see how to convert binary number system into a

decimal number system so there are different methods to convert the binary

number system into a decimal number system but I will explain you in very

easiest way because this is the very important topic in the number system

that is conversion so let’s see binary to decimal

conversion so as I told you there are the radix version that is a base value

so the binary numbers is in the base value is 2 so an is decimal number

system tell base value is 10 so let us see how this conversion happens now I

have written here the binary package that is in the multiple of 2 because

binary based value for binaries 2 therefore the binary vital that is from

2 raise to 7 that is up to the 2 raise to 0 and corresponding decimal value for

that so first of all we have to convert the binary to decimal so that means we

have to assign somewhere your binary number to the decimal number so let’s

see what are those value for that particular decimal number let’s start

from 2 raised to 0 you know that 2 raise to 0 anything raised to 0 is 1 therefore

in binary 2 raise to 0 means in the decimal value is 1 also 2 raise to 1 2

raise to 1 is 2 therefore the decimal value is 2 now let’s see what do you

mean effort to raise to 2 gives us 4 therefore 2 raise to 2 is 4 the 4

decimal value is 4 up to the 2 raise to 7 2 raise to 7 is 128 so that is from 2

raise to 3 2 raise to 4 2 X 2 5 2 X 2 6 and up to 2 days 2 7 now let’s see what

do you mean by 2 raise to minus 1 2 raise to minus 1 means 1 by 2 that is

1/2 so 1/2 denotes point 5 therefore the value is point 5 now 2 raise to minus 2

what do you mean by 2 raise to minus 2 2 raise to minus 2 means 1 upon 2 into 10

raise to 10 that is 2 raise to minus 2 is equal to 1 upon 2 into 10 raise to 2

which gives 0.25 fine now what do you mean by 2 raise to

minus 3 to raise to minus 3 means 1 upon 2 into

10 raised to minus T which case 0.125 so this table is very important and this

table is going to help is to convert the binary number into the decimal number

now let’s see the step by step conversion of binary into the decimal you now take an example that we have the

convert one zero zero one this binary number into the decimal number so I will

explain you the step by steps how to convert the binary into the decimal so

the first step is very important that is write the given binary number now we

have taken the example of one zero zero one so first step is to write the binary

number so according to the first step let’s follow the rules so we have written the given binary

number now let us move to the next step you

now the next step is let’s write the binary package below that number our

number was one zero zero one so what we mean by the binary package we have to

always start from the right-hand side okay so let’s see for the one as I have mentioned here the different

kind of binary vectors so always start from the right hand side so from the

right hand side always start from the Taurus to zero so let’s apply this in

our example so for this one we will write two days

two zero four zero two days to one another 0 2 raise to two and the last

one that is it is called as MSB it is most significant bit

now what do you mean by two days to zero to raise to 0 gives one two days to one

gives to 2 raise to 2 gives 4 and 2 raise to 3 gives 8 that means as second

step Falls to write the binary vacant so these are the binary packages so what is

the next step so in the next step we will add this binary advantage to get

the decimal number now the third step is to cancel out the

bet edges which are placed below the binary number zero so here in our

example there are two zero therefore we have to cancel out the bet it is below

the 0 so 2 & 4 these are the two villages which are placed below zero

so let us cancel out this method so how many veggies are remaining so there are

two methods one is 8 and the next one is 1 so we will see the last step step four is to add the remaining

numbers now there are only two remaining numbers that is 8 and 1 these two

numbers are remaining 8 and 1 so we will add these two numbers 8 plus 1 gives 9

therefore the decimal number for the given binary number is 9 our binary

number was 1 0 0 1 it is very important to write the base because without base B

can’t pension which is the number system so 1 0 0 1 in the binary number system

gives 9 in the decimal number system but for the decimal number system the base

is 10 therefore base is 10 in the decimal number system so in the exam you

have to write answer like this it is very important to mention the best every

best whenever you convert the binary number into the decimal number so let’s

sum up this videos we have seen the four steps first step is to write the given

binary number then second step is to write in the village of the given binary

numbers then the next step is to cancel out the vet age below the 0 value and

the last step is to add the remaining Vantage so this gives us the binary

number into the decimal number thank you for watching today’s video the another

type of conversions we will see in the next video

Hello Friends,

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