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  3. Binary Calculator

Binary Calculator

Add and multiply binary numbers; compute bitwise AND, OR, XOR, NAND, NOR, XNOR, NOT; invert, reverse, rotate, and shift binary strings.

Read the guide

Guide and examples

The Binary Calculator performs binary addition and multiplication, bitwise operations (AND, OR, XOR, NAND, NOR, XNOR, NOT), and binary string transforms (invert, reverse, circular shift, rotate left/right). All operations run in your browser.

What is the Binary Calculator?

It is a multi-mode tool: Arithmetic (sum and product), Bitwise (AND, OR, XOR, NAND, NOR, XNOR, NOT), and Transform (invert bits, reverse string, circular shift, rotate left, rotate right). Use it for low-level programming or digital design.

Key Features

  • Add and multiply binary numbers.
  • Full set of bitwise operations on two operands (NOT on one).
  • Transform: invert, reverse, circular shift, rotate left/right with configurable positions.
  • Client-side only.

How to Use

  1. Open the Binary Calculator tool.
  2. Pick a tab: Arithmetic, Bitwise, or Transform.
  3. Enter one or two binary strings (0 and 1) and, for shift/rotate, the number of positions.
  4. Read and copy the result.

Use Cases

  • Programming — Quick binary arithmetic and bitwise checks.
  • Digital design — Verify logic or bit manipulations.
  • Learning — Practice binary arithmetic and bitwise logic.

Frequently Asked Questions

What can this tool do?

It performs binary addition and multiplication, all standard bitwise operations (AND, OR, XOR, NAND, NOR, XNOR, NOT), and string transforms (invert, reverse, circular shift, rotate left/right).

What format should binary input be?

Enter binary numbers as strings of 0 and 1. Spaces are stripped. For two-operand operations, enter both values.

Are there size limits?

Large binary strings are supported via BigInt. Very long strings (thousands of bits) may be slower.

Is calculation done locally?

Yes. All operations run in your browser; nothing is sent to a server.

When should I use it?

Use it for low-level programming, digital design, or learning binary arithmetic and bitwise logic.

Why does bitwise NOT look different from my expectation?

This tool uses a fixed-width notion: NOT inverts each bit of the given string. For infinite leading zeros, only the displayed bits are inverted.

Conclusion

Use the Binary Calculator for binary arithmetic, bitwise ops, and transforms. Related: Number Base Converter, BCD Converter.

Frequently Asked Questions

It performs binary addition and multiplication, all standard bitwise operations (AND, OR, XOR, NAND, NOR, XNOR, NOT), and string transforms (invert, reverse, circular shift, rotate left/right).

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