What is binary arithmetic?

Binary arithmetic is math performed in base 2, where the only digits are 0 and 1. Each digit position represents a power of 2, unlike decimal where each position represents a power of 10.

How do you add binary numbers?

Add column by column from right to left, just like decimal. 0+0=0, 1+0=1, 1+1=10 (write 0, carry 1), 1+1+1=11 (write 1, carry 1).

What happens with negative results in binary subtraction?

If the result is negative, this calculator shows a minus sign before the binary representation of the absolute value.

How is binary related to hexadecimal?

Every 4 binary digits map directly to one hex digit (0–F), because 2⁴ = 16. This makes hex a convenient shorthand for long binary strings in programming.

Can I divide binary numbers?

Yes. The calculator performs integer division and shows the quotient. If the divisor is zero, an error is shown.

Math

↵ to calculate

Binary Calculator - Binary Addition Subtraction Convert

Add, subtract, multiply, and divide binary numbers. Shows binary, decimal, and hex results.

✨

How to use this calculator

👉 Fill in the boxes below and your answer appears instantly — no maths needed, we do it all for you! 🎉

👶

In plain English — what does this do?

🤖 Computers only understand a secret language of 0s and 1s. This tool helps you turn normal words and numbers into that computer language — or turn it back into normal language!

📌 Direct Answer & Summary

A binary calculator performs arithmetic operations — addition, subtraction, multiplication, and division — directly on binary (base-2) numbers. It accepts numbers made up of only 0s and 1s and returns results in binary, decimal (base-10), and hexadecimal (base-16), making it essential for computer science, digital electronics, and programming tasks.

Binary Number A

Binary Number B

What is Binary Calculator - Binary Addition Subtraction Convert?

How to use it

1️⃣ Enter Binary Number A (only 0s and 1s).
2️⃣ Enter Binary Number B (only 0s and 1s).
3️⃣ Select the operation: Add, Subtract, Multiply, or Divide.
4️⃣ The result is shown in binary, decimal, and hexadecimal. The conversion table below shows both inputs in all three bases.

Formula & Variables

Binary arithmetic follows the same rules as decimal but with only two digits. Binary addition: 0+0=0, 0+1=1, 1+1=10 (carry 1). To compute, convert both binary numbers to decimal integers using parseInt(n, 2), perform the operation, then convert back using .toString(2) for binary and .toString(16) for hex.

💡 See it in action — a real example

1101 (13) + 1011 (11) = 11000 (24, 0x18). 1111 (15) − 0110 (6) = 1001 (9, 0x9). 1010 (10) × 0011 (3) = 11110 (30, 0x1E).

❓ Common questions

What is binary arithmetic?: Binary arithmetic is math performed in base 2, where the only digits are 0 and 1. Each digit position represents a power of 2, unlike decimal where each position represents a power of 10.
How do you add binary numbers?: Add column by column from right to left, just like decimal. 0+0=0, 1+0=1, 1+1=10 (write 0, carry 1), 1+1+1=11 (write 1, carry 1).
What happens with negative results in binary subtraction?: If the result is negative, this calculator shows a minus sign before the binary representation of the absolute value.
How is binary related to hexadecimal?: Every 4 binary digits map directly to one hex digit (0–F), because 2⁴ = 16. This makes hex a convenient shorthand for long binary strings in programming.
Can I divide binary numbers?: Yes. The calculator performs integer division and shows the quotient. If the divisor is zero, an error is shown.