Binary Calculator: Free Online Tool for Binary Addition, Subtraction, Multiplication & Division
Struggling with binary math? Our free online binary calculator makes it simple to perform binary addition, subtraction, multiplication, and division on binary numbers (using only 0s and 1s). Whether you’re a computer science student learning the basics, a programmer debugging code, or an engineer working in digital systems, this binary calculator tool delivers instant results with optional decimal conversions. No downloads needed—just enter your binary values and calculate!
Binary numbers form the foundation of computing, powering everything from simple logic gates to complex algorithms. Skip the tedious manual calculations and let our binary adder calculator handle the heavy lifting. See how it works below.
What is a Binary Calculator?
A binary calculator is a digital tool designed to handle arithmetic operations in the binary number system (base-2), where numbers are represented solely by 0 and 1. Unlike decimal calculators, it follows binary-specific rules, such as carrying over in addition when 1 + 1 = 10.
Key uses include:
- Educating on binary arithmetic for CS courses.
- Converting between binary and decimal/hex for programming.
- Simulating digital circuits in electronics.
Our tool stands out by supporting up to 32-bit inputs, showing step-by-step breakdowns, and integrating a binary to decimal converter for easy verification.
Features of Our Free Binary Calculator
Built for accuracy and ease, our online binary calculator offers:
- Multiple Operations: Add, subtract, multiply, or divide binary numbers effortlessly.
- Conversions Included: Instantly convert results to decimal or hexadecimal.
- Step-by-Step Guidance: View detailed workings for learning (e.g., carry-overs in addition).
- Mobile-Friendly: Works on any device—no app required.
- Unlimited Free Use: No sign-ups or limits, unlike paid tools.
Compared to competitors, we prioritize educational depth, making it the go-to binary calculator with steps.
How to Use the Binary Calculator
- Enter Inputs: Input two binary numbers (e.g., 1010 and 1101) in the fields. Ensure they’re valid (0s and 1s only).
- Select Operation: Choose addition (+), subtraction (-), multiplication (×), or division (÷).
- Hit Calculate: Get the binary result, plus decimal equivalent if toggled.
- Review Steps: Expand for a breakdown, like column-by-column addition.
Tip: For large numbers, use leading zeros to align bits (e.g., 001010 for 8-bit precision).
Binary Addition Explained: How to Add Binary Numbers Manually
Binary addition mimics decimal but with simpler rules. Start from the rightmost bit:
- 0 + 0 = 0 (no carry)
- 0 + 1 = 1 (no carry)
- 1 + 0 = 1 (no carry)
- 1 + 1 = 0 (carry 1 to next bit)
Example: Add 1011 (11 in decimal) + 0011 (3 in decimal) = 1110 (14 in decimal).
Steps: 1+1=0 (carry 1), 1+1+carry=1 (carry 1), 0+0+carry=1, 1+0=1.
Binary Subtraction, Multiplication & Division Examples
Our tool automates these, but here’s a quick manual guide:
Binary Subtraction
Use borrowing: 1 – 0 = 1; 0 – 1 = 1 (borrow 1, making it 10 – 1 = 1).
Example: 1101 (13) – 0010 (2) = 1011 (11).
Binary Multiplication
Shift and add: Like decimal, but binary simplifies it.
Example: 101 (5) × 11 (3) = 1111 (15).
Binary Division
Long division method: Subtract multiples of the divisor.
Example: 1100 (12) ÷ 10 (2) = 110 (6), remainder 0.
| Operation | Input A (Binary/Decimal) | Input B (Binary/Decimal) | Result (Binary/Decimal) |
|---|---|---|---|
| Addition | 1010 / 10 | 0110 / 6 | 10000 / 16 |
| Subtraction | 1111 / 15 | 0011 / 3 | 1100 / 12 |
| Multiplication | 101 / 5 | 10 / 2 | 1010 / 10 |
| Division | 10000 / 16 | 100 / 4 | 100 / 4 (remainder 0) |
Why Choose Our Binary Calculator Over Others?
In a sea of tools, ours excels in user-friendliness and depth:
| Tool | Operations Supported | Step-by-Step | Conversions | Free & Unlimited |
|---|---|---|---|---|
| RaikCalculator (Ours) | Add, Sub, Mult, Div | Yes | Binary/Decimal/Hex | Yes |
| Calculator.net | Add, Sub, Mult, Div | No | Binary/Decimal | Yes |
| RapidTables | Add, Sub, Mult, Div + Bitwise | Partial | Binary/Decimal | Yes |
| PrepostSEO | Add, Sub, Mult | No | Limited | Yes |
Backed by precise algorithms, it’s trusted for homework, projects, and professional use.
FAQ: Common Binary Calculator Questions
- How do I convert binary to decimal using this tool?
- After calculating, toggle the “Convert to Decimal” option for instant results.
- Can I use it for large binary numbers?
- Yes, supports up to 64 bits—perfect for advanced computing tasks.
- Is this binary calculator accurate for programming?
- Absolutely; it mirrors CPU-level binary ops without rounding errors.
Ready to simplify your binary math? Try our free binary calculator now and experience the difference. Share your results or feedback below!