Binary Calculation—Add, Subtract, Multiply, or Divide
Convert Binary Value to Decimal Value
Convert Decimal Value to Binary Value
In today’s digital age, a binary calculator has become a very useful tool in computers and technology. The binary number system is a number system that operates only on the bases of 0 and 1. This differs from the decimal system, which uses digits from 0 to 9. Although both systems have similar rules, such as addition, subtraction, multiplication, and division, the binary system operates only on the base of 2.
Why is a Binary Calculator Necessary?
Computer hardware is easier to design when only two states (on/off) need to be identified. The binary system is used because it simplifies implementation in digital circuits and logic gates. Using the decimal system would require identifying 10 different states, which is complex and expensive.
Using a binary calculator allows you to easily perform binary number calculations, which benefits students, programmers, and those working in digital technology.
Conversion Between Binary and Decimal
The great thing about the Binary Calculator is that it can instantly convert between binary and decimal numbers. For example:
Decimal Binary
0 0
1 1
2 10
3 11
4 100
7 111
8 1000
10 1010
16 10000
20 10100
Conversion from Decimal to Binary:
Find the largest power of 2 that fits in the number.
Subtract it from the number.
Repeat the same process for the remainder.
In Binary, add a 1 to each power position and a 0 to the rest.
Example: Decimal 18 → Binary 10010
Conversion from Binary to Decimal:
Add the values of all the 1 positions.
Example: 10111 → (1 × 24) + (0 × 23) + (1 × 22) + (1 × 21) + (1 × 20) = 23
Binary Arithmetic Operations
- Binary Addition
Binary addition is similar to decimal addition, except carry over occurs when the sum equals 2.
Example:
0 + 0 = 0
0 + 1 = 1
1 + 1 = 0, carry 1
- Binary Subtraction
Subtraction also uses only 0 and 1. Borrow occurs when subtracting 0 from 1.
Example: 0 – 1 → borrow 1 - Binary Multiplication
Binary multiplication is simple because there are only 0 and 1.
0 × 0 = 0
0 × 1 = 0
1 × 1 = 1
Binary multiplication requires a placeholder 0 and a left shift, just like decimal multiplication.
- Binary Division
Binary division is similar to long division. Dividend is divided by the divisor, and subtraction occurs according to binary rules. A binary calculator makes this process easy.
How to Use a Binary Calculator
A binary calculator is available online or in mobile apps. You enter a decimal or binary number, and it instantly performs addition, subtraction, multiplication, division, and conversion, and displays the result. This saves time and reduces human error in calculations.
Related Post :- Quadratic Formula Calculator – Solve Any Equation in 3 Simple Steps
Conclusion
A binary calculator is a simple, fast, and reliable way to understand and use the binary number system. It has become an indispensable tool for students, programmers, and digital technology professionals. If you’re interested in computer science or digital technology, using a binary calculator will further strengthen your skills.
