Math Calculators ▶ Binary Calculator
An online binary calculator helps you to perform the basic arithmetic operations (Addition, Subtraction, Multiplication, Division) on two numbers with base 2, 8, 10 & 16. The online binary operations calculator readily performs the different arithmetic operations on different basis. Read on to exactly know about the manual calculations and much more interesting information.
Read on!
The calculations become very easy with this handy & accurate tool. You just have to stick to the following points:
Inputs:
Outputs:
Once you enter in all the fields, the calculator shows:
Note:
No matters, which system you select for the calculations, the free binary calculator determine the results according to your selected input.
Our online calculator performs the following arithmetic calculations on the two numbers with same bases.
Here, we have examples of operations on the binary numbers. Same as it is for the calculations of the hexadecimal, octal & decimal numbers.
Adding binary numbers follows the same rule as in the decimal addition, but it carries 1 rather than 10. Our binary addition calculator performs the addition rules for the addition of binary numbers. Ahead to the example for clarification.
Add (10110010)2 & (11101)2?
Solution:
As,
\(0 + 0 = 0\)
\(0 + 1 = 1\)
\(1 + 0 = 1\)
\(1 + 1 = 0 carries 1\)
So,
(11011110010)2
+ Â Â (11101)2
 ——————————
(11001111)2
Subtracting binary numbers follows the same rule as in the decimal subtraction, but it borrows 1 rather than 10. Use binary subtraction calculator to exactly know about the rules for the binary subtraction. Ahead to the example for better understanding.
How to subtract binary numbers (11101)2 from (100011)2?
Solution:
As,
\(0 – 0 = 0\)
\(0 – 1 = 1 borrow 1\)
\(1 – 0 = 1\)
\(1 – 1 = 0\)
So,
(110102011)2
–Â Â Â (11101)2
——————————
(000110)2
It is simpler than decimal multiplication as it consists of only 0 & 1. Our binary multiplication calculator readily performs the multiplication of binary numbers. Ahead to example:
Multiply (101011)2 with (101)2?
As,
\(0 × 0 = 0\)
\(0 × 1 = 0\)
\(1 × 0 = 0\)
\(1 × 1 = 1\)
So,
(101011)2
×    (101)2
——————————–
1101011
1000000×
101011××
———————————
(11010111)2
It is similar to the long division of decimal numbers. In our binary division calculator, the dividend is divided by the divisor same as in the decimal. Let’s have a look at the example:
Divide (101010)2 with (110)2?
Solution:
    000111              Â
110 ⟌101010
0↓↓↓↓↓
————————————-
10↓↓↓↓
0↓↓↓↓
 ———————————–
101↓↓↓
0↓↓↓
————————————
1010↓↓
110↓↓
————————————
01001↓
110↓
————————————-
00110
110
————————————-
00000
Simply, you can try this binary calculator to verify your answers and to avoid from complications.
99 is a decimal number as the numbers in the 99 included in the decimal digits (0,1,2,3,4,5,6,7,8,9) & binary numbers consists of only 0 & 1.
The numbers with the base 2 rather than 10 is in the binary system. It is expressed only with 0
& 1.
It is basically used in discrete mathematics to represent the logic gates. It is the basic of the electronic devices because it is the part of Boolean algebra.
The binary numbers are important in our daily life instead of using decimal we can use binary as it simplifies the design of computer & related technologies. So, thankfully, you come to know about different calculations related to different systems. Simply, try this online binary calculator that helps you to do the arithmetic calculations accurately.
From the source of Wikipedia : History & binary arithmetic
From the site of khanacademy : Calculations of binary arithmetic
From the site of mathisfun : Introduction to number system