Number System
Binary 2 0, 1
Octal 8 0,1,2,3,4,5,6,7,
Decimal 10 0,1,2,3,4,5,6,7,8,9
Hexadecimal 16 0,1,2,3,4,5,6,7,8,9,a,b,c,d,e,f
A number system is a very precious part of a computer, a number system defines the basic understanding of computer technology.
The bit is the smallest.
What's a bit?
The bit is the smallest unit of byte along with patterns.
What's a byte?
This is the smallest unit of computer numbers system to represent anything on the computer. Like
"A" , "$", "5", "#"
In computer extended studies the number systems that are used in mathematically compromise along with computer arithmetic are 4.
Like
1- Binary /computer.
2- hexadecimal.
3- Octal number system.
4- Decimal number system.
Each of the above number systems has its own calculation Arrangement.
Even if we want to convert these numbers one into another number system then it's possible.
You can very easily understand how a number 160 could be converted into binary, here is the answer if the number 160 decimal number converted into binary then the absolute binary will be 10100000 as above solved.
The trick is all remainders from bottom to top will be sequenced as above example is mentioned.
And
In the above conversion, here is another method of solving this decimal conversion into binary here.
Here is another beautiful example of decimals conversion into binary as the above example is mentioned. Now you might understand easily.
25 decimal = 11001 binary.
How to verify the above solution
We can verify the solution easily. because when we try each of the binary digits in the sequenced form put in order of addition and when we solve the addition form of the binary digits we actually get a our decimal number as an output like-
(1 x 2^4)+(1 x 2^3)+(0 x 2^2)+(0 x 2^1)+(1 x 2^0)
here is verified solution of it
16 + 8 + 0 + 0 + 1
= 25
So we say the verified number is equal to the decimal number above given.
It means we have done the correct.
When you are asked to convert 11001 binary into a decimal,
you should solve your question like this -
(1 x 2^4)+(1 x 2^3)+(0 x 2^2)+(0 x 2^1)+(1 x 2^0)
here is verified solution of it
16 + 8 + 0 + 0 + 1
= 25
This is how we can solve the conversion of numbers between binary to decimal and decimal to binary.
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