Binary Calculator is a useful application that allows users to calculate binary numbers in many simple ways including, and not limited to, adding, subtracting, dividing and multiplying. Many Calculators allow for binary and decimal representations of any calculation which helps a lot when learning your binary number system. If you want to work with binary values directly, a binary Converter can also help you perform conversions quickly and understand the relationship between different number systems.
Using a binary calculator will help you to calculate common arithmetic procedures such as addition, subtraction, multiplication and division using binary numbers. However, before you start, it’s good to know what binary numbers are and how to perform them.
What is Binary?
Binary numbers are numbers that are written in the base-2 number system, much like our normal, decimal numbers are in base-10. Numbers are only represented by the digits 0 and 1, unlike the digits 0 through 9 in the decimal system.
Decimal 1 = Binary 1
Decimal 2 = Binary 10
Decimal 3 = Binary 11
Decimal 4 = Binary 100
Decimal 5 = Binary 101
Computers use binary digits because electronic systems only know of two states, either ‘on’ or ‘off’. This is what makes them suitable for computers, programming, digital electronics and many more areas of technology.
What is Binary Addition?
Binary addition is the same as decimal addition, but you only get two digits instead of ten. The only changes are the numbers you are allowed to add:
0 + 0 = 0
0 + 1 = 1
1 + 0 = 1
1 + 1 = 10
1 + 1=10 as stated here, this is important and different to decimal addition where 1 + 1=2. In Binary 1+1 = 10; so you put the 0 in the current row and carry the 1 over to the next number along (like in decimal addition).
Here’s an Example:
101
+ 011
—–
1000
As you can see, if you’re used to the rules it really isn’t difficult. The key is to put the digits above the appropriate number when doing the calculation, so your answer is as accurate as it should be. Working with larger numbers, a binary calculator might seem less scary, and can work this out almost instantly.
What is Binary Subtraction?
Binary subtraction is very similar to that in decimal calculations. Here are the only possible ways of subtracting binary digits:
0-0=0
1-0=1
1-1=0
10-1=1
As before with addition, 10-1 requires a borrow, just as you do when subtracting in the decimal system. You carry over and subtract it in the column adjacent to the one where you originally needed to borrow the figure from.
For Example:
101
– 010
—–
011
Therefore, 101-010 = 011. As the figure is also the same as the standard calculation without the leading zero, binary 11 is also acceptable.
What is Binary Multiplication?
Binary multiplication is often the easiest calculation to perform as there are far less possibilities than with adding binary numbers.
0x0=0
0x1=0
1×0=0
1×1=1
With the simple logic that if one figure being multiplied is zero, the answer is zero and otherwise you have 1×1 which of course can only be 1.
For Example:
101
x 11
—–
101
101
—–
1111
Thus, 101 multiplied by 11 gives you the answer 1111.
In the multiplication you must remember to place the corresponding answers accordingly if you are multiplying more than two digits, by the two separate digits you are multiplying the first number by; then it is simply a process of addition using two binary figures. Binary multiplication should ideally only come after binary addition however.
What is Binary Division?
Like with long division, you simply see if the binary figure you are dividing by goes into the figures in the problem you are calculating at that moment.
110 divided by 10
110
—–= 11
10
110 / 10= 11.
If in decimal numbers this looks like,
6/2 = 3
And it’s a very common case to either end up with a whole answer (without remainders) or not. With these bigger calculations a binary calculator comes in very useful as there are a fair few calculations and they all need to be perfectly correct.
What is Binary Calculator?
Binary Calculator is a useful application that allows users to calculate binary numbers in many simple ways including, and not limited to, adding, subtracting, dividing and multiplying. Many Calculators allow for binary and decimal representations of any calculation which helps a lot when learning your binary number system.
How to Use a Binary Calculator?
ManualBinary Calculation is fun and very useful to know the answer of, however when you get much bigger binary numbers, it takes that little bit longer to actually calculate each answer and errors sometimes get made. Binary calculators are commonly used when computer programmers or anyone involved in using these digital systems learn new things aboutbinary numbers, and help them check their answers when completing these complex calculations.
The thought process that was involved after completing the task by myself prior to completing the task using a calculator is quite profound as one begins to wonder why this topic wasn’t taught much earlier when you learn about computer and computer based things.
