Our **binary calculator** allows you to work around with the numbers in binary system. You can add, subtract, multiply or divide two binary numbers using this calculator of ours. Besides, the calculator allows you to convert binary numbers into their respective decimals and vice versa as well. Just keep in mind, however, that due to computer precision limitations, our calculator would only be able to take binary numbers not more than 32 bits and decimal values not more than 10 digits.

Our **binary calculator** allows you to work around with the numbers in binary system. You can add, subtract, multiply or divide two binary numbers using this calculator of ours. Besides, the calculator allows you to convert binary numbers into their respective decimals and vice versa as well. Just keep in mind, however, that due to computer precision limitations, our calculator would only be able to take binary numbers not more than 32 bits and decimal values not more than 10 digits.

Binary System

Binary system is just another numerical system which functions almost identically to decimal system which every one of us is familiar with. Where 10 is used as base in the decimal system, the binary system has 2 in the base. This is reflective of the fact that decimal system has 10 digits i.e. numbers 0 to 9, but binary system uses only 2 digits i.e. 0 and 1. The digits in the binary system are called as bits. Besides, all the computational operations like addition, subtraction, division and multiplication are performed in binary system as well and the rules are same as those in decimal system. Our **binary calculator** also implements the same rules as well.

All modern day tech and computers make use of binary system because it's easy to implement in the digital circuits with the help of logic gates. It's also easier to design the hardware which only has to detect a couple of states i.e. on/off or true/false. If decimal system were applied, there'd be requirement of detecting 10 different states for all the digits available in that system and things would have gone too complicated.

Though it may appear to be a bit confusing to work with binary numbers, understanding the value represented by every binary place is 2n, similar to 10n in the decimal system, will help clarify things.

If you have to convert decimal numbers to binary, the procedure may be a bit lengthy. Here are the steps that you have to follow.

1. Find 2's largest power which lies inside a given number

2. Subtract that value from given number

3. Find 2's largest power within remainder that you had found in the previous step

4. Repeat the same steps until there isn't any remainder left behind

5. Put 1 for all the binary place values which were found, and put 0 for everything else.

Converting numbers from binary back to decimal is rather simpler. All you have to do is to determine all place values having 1 and find their sum. The resultant number will be in decimal form.

How Our Binary Calculator Works?Using our binary calculator makes calculations simple and you don't have to go through all the steps mentioned above. If you have to convert a decimal value into binary, just enter it in the given place and click on calculate button, you'll get the result in binary.

Similarly, if you have to convert a binary value into decimal, just enter it in the given place and click on calculate button, the result will be shown in decimal form.

You can also use this **binary calculator** for performing simple operations on binary numbers i.e. Add, Subtract, Multiply Divide. Just enter the two binary numbers in designated fields and select the desired operation from the list. Hit calculate and you will get the resultant number both in binary as well as in decimal form.

So, the apparently confusing binary conversions and calculations are quite simplified with this binary calculator and you can use it for accurately calculating the results whether you want conversions from binary to decimal and vice versa or need to perform operations on two binary numbers.