Binary Calculator

What Is a Binary Calculator?

The binary calculator is a base conversion tool designed for developers and computer science learners. It supports arithmetic and bitwise operations between binary, decimal, and hexadecimal values, and simultaneously outputs the results in all three bases for easy side-by-side comparison.

How to Use the Binary Calculator?

1. Enter a value in the "First Number" input and select its base from the dropdown on the right (Binary / Decimal / Hexadecimal, default Binary).
2. Select the operation to perform from the "Operator" dropdown (Add, Subtract, Multiply, Divide, Power, AND, OR, NOT, XOR, Left Shift, Right Shift).
3. Enter another value in the "Second Number" input and select its base. When the operation is "NOT", the second input is automatically hidden and only one operand is needed.
4. Click the "Calculate" button. The results in binary, decimal, and hexadecimal are shown below at the same time.

Supported Operations

• Arithmetic: Add (+), Subtract (-), Multiply (×), Divide (÷), Power (^)
• Bitwise: AND (&), OR (|), NOT (~), XOR (^)
• Shift: Left Shift (<<), Right Shift (>>)

Binary Calculator Usage Examples

Example 1: 25 AND 3

1. Enter 25 as the first number and select "Decimal" as its base.
2. Select "AND" as the operator.
3. Enter 3 as the second number and select "Decimal" as its base.
4. Click "Calculate". The results are: binary 1, decimal 1, hexadecimal 1.

Example 2: Base Conversion

1. Enter 1101 (binary) as the first number and select "Binary" as its base.
2. Select "Add (+)" as the operator and enter 0 as the second number.
3. The results are: binary 1101, decimal 13, hexadecimal D, which can be used directly for base comparison.

Useful Tips

• Shift operations: a left shift of 1 bit multiplies by 2, and a right shift of 1 bit divides by 2. For example, 8 << 2 = 32 and 16 >> 1 = 8.
• Odd/even check: for any integer, num & 1 returns 1 for odd numbers and 0 for even numbers.
• Bit flipping: applying num ^ 0b1111 flips the low 4 bits of the value.
• Calculations are based on 32-bit signed integers; results may be incorrect when the value exceeds the range. Please pay attention to the magnitude of your numbers.