About the Binary String Tools
Type or paste a string of 0s and 1s, pick an operation — invert (flip every bit), reverse, rotate left or rotate right — and instantly see the result along with its decimal and hexadecimal values. The tool handles binary strings up to 4,096 bits with exact arithmetic, so long bit patterns never lose precision. Spaces in the input are ignored, making it easy to paste formatted binary.
Updated October 2026
How to use the Binary String Tools
- 1Type or paste a binary string (only 0s and 1s, spaces allowed).
- 2Choose an operation: invert, reverse, rotate left or rotate right.
- 3For rotation, enter the number of positions to rotate.
- 4Read the result in binary, decimal and hexadecimal.
- 5Copy any of the outputs with one click.
When to use binary string tools
Binary string manipulation comes up in computer science homework, CTF challenges, protocol analysis and embedded programming. Instead of writing a script every time, paste the bits here, pick the operation and get the answer instantly. The decimal and hex readouts save an extra conversion step.
Understanding the operations
Invert is the simplest: flip every bit. It is the same as XOR with a string of all 1s. Reverse reads the string backwards, which mirrors the bit pattern. Rotate left by n moves the first n bits to the end; rotate right does the opposite. All operations keep the same string length, so the bit count never changes.
Tips and common uses
- Use invert to find the one's complement of a number.
- Use reverse to check palindromic bit patterns.
- Rotation by the string's length returns the original — good for verifying.
- Copy the hex value for use in code or memory views.
- Combine with the Binary Hex Calculator for further base conversions.
A worked example
Take the string 11001010. Inverting it gives 00110101. Reversing it gives 01010011. Rotating it left by 3 moves the first three bits (110) to the end and gives 01010110. Rotating it right by 3 moves the last three bits (010) to the front and gives 01011001. The original value is 202 in decimal and CA in hexadecimal, and each result shows its own decimal and hex values next to it, so you can check your own working or an exercise answer.
Rotations wrap around, so rotating by the length of the string, or by any multiple of it, gives back the original. Rotating left by a number is the same as rotating right by the length minus that number. The tool reduces large rotation counts automatically, so rotating a 10-bit string left by 1,003 is the same as rotating it by 3.
Why exact conversion matters
Ordinary calculators and many programming languages keep integers exact only up to 53 bits, which is about nine quadrillion. A 64-bit pattern such as 1 repeated 64 times is 18,446,744,073,709,551,615, and a regular number type would round it. This tool converts with arbitrary-size integers, so strings of up to 4,096 bits produce the exact decimal and hexadecimal digits, which is useful for checking keys, masks, checksums and test vectors. For maths on the bits you converted, try the Binary and Hex Calculator. The Number Base Converter changes whole numbers between systems, the Binary Translator turns text to ones and zeros, and the Gray Code and BCD Converter handles the special encodings.
Features
- Invert (flip all bits), reverse, rotate left and rotate right
- Exact decimal and hexadecimal conversion using BigInt
- Handles up to 4,096 bits
- Shows bit length, count of 1s and count of 0s
- Spaces in the input are stripped automatically
- Runs entirely in your browser
Frequently asked questions
What does inverting a binary string mean?
Inverting flips every bit: each 0 becomes 1 and each 1 becomes 0. For example, 1010 becomes 0101. This is also called a bitwise NOT or one's complement.
What is a binary rotation?
Rotating shifts every bit left or right. Bits that fall off one end wrap around to the other. Rotating 10110 left by 2 gives 11010: the first two bits move to the end.
How long can the binary string be?
Up to 4,096 bits. The tool uses BigInt for the decimal and hex conversions, so even very long binary strings are converted exactly without rounding errors.
Can I include spaces in the binary string?
Yes. Spaces are removed before processing, so you can paste formatted binary such as 1010 1100 0011 and it works the same as 101011000011.
How is the hexadecimal value calculated?
The binary string is converted to a big integer and then to base 16. This avoids the precision limits of regular JavaScript numbers, so even a 4,096-bit string gets an exact hex value.
What is the difference between rotate and shift?
A rotate wraps bits around: bits pushed off one end reappear at the other. A shift fills the vacated positions with zeros. This tool performs rotations, not shifts.