# Binary left-shifter

World's simplest binary tool
Free online binary left-shifter. Just load your binary values and their bits will automatically get shifted to the left. There are no ads, popups or nonsense, just an awesome bit shifter. Load bits – get left-shifted bits. Created for developers by developers from team Browserling.
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Shift Length
Specify the number of bits (n) to shift binary to the left.
Shift Mode
Add n zeros at the end of the binary number.
Add n zeros at the end and remove n bits from the beginning of the number.
Add n zeros at the end and truncate the binary number from the left to k digits.
Truncation length (k bits).
Output Format
Add a binary prefix at the beginning or a binary postfix at the end of the number.

## What is a binary left-shifter?

This tool shifts binary numbers to the left side. It moves each digit (bit) in the number's binary representation by one or more positions to the left and adds zeros in the empty positions on the right. This mathematical operation is also known as logical left-shift, arithmetic left-shift, or bitwise left-shift. For the left-shift, all these operations are equivalent (but they are not equivalent in right-shift operation). We have implemented three main types of this operation: unlimited left-shift, self-length left-shift, and truncated left-shift (also known as constant-length left-shift). The unlimited left-shift adds n (shift length) zeros at the end of the binary number. For example, applying the unlimited shift to the binary number 10110 with a shifting width of 2, it becomes 1011000. The self-length shift preserves the bit-length of the number. It moves all bits n positions to the left, fills empty bits on the right with zeros, and truncates the number to its original length. In this case, the number 10110 becomes 11000 (with shift-width = 2). Truncated left-shift adds n zeros at the end of the binary number and truncates the number from the left side to k positions (k is truncation length). Given the same number 10110, shift length n = 2, and truncation length k = 4, the number shifts to 1000. You can also add binary prefix or postfix to the output values and perform signed and unsigned padding of the output values. Signed padding adds ones in front of the numbers and unsigned padding adds zeros. Also, a fun mathematical fact is that the left-shift operation by n positions is the same as multiplying the number by 2n. Simple and easy!

## Binary left-shifter examples

Click to use
Regular Left Shift
This example applies the unlimited left shift algorithm to ten binary numbers listed in a column. This shift type adds as many zeros at the end of the number as you need and has no particular length limit. That's why we call it "unlimited". In this example, it appends two extra zeros and outputs the new binary numbers. It also enables unsigned padding to six positions so that all output numbers have the same length.
1 10 11 100 101 110 111 1000 1001 1010
000100 001000 001100 010000 010100 011000 011100 100000 100100 101000
Required options
These options will be used automatically if you select this example.
Specify the number of bits (n) to shift binary to the left.
Add n zeros at the end of the binary number.
Add a binary prefix at the beginning or a binary postfix at the end of the number.
Constant Length Left Shift
In this example, we shift five 10-digit binary numbers to the left using the self-length shift method and set the shift-width equal to 3. This method removes the first 3 bits at the beginning of input numbers and adds 3 bits at the end of the input number. This operation leaves the numbers' bit-length unchanged and that's why we call it the "self-length" method (and sometimes the "constant-length" method).
1010101010 0101010101 1100110011 0011001100 1111111111
0101010000 1010101000 0110011000 1001100000 1111111000
Required options
These options will be used automatically if you select this example.
Specify the number of bits (n) to shift binary to the left.
Add n zeros at the end and remove n bits from the beginning of the number.
Add a binary prefix at the beginning or a binary postfix at the end of the number.
Truncated Left Shift
In this example, we use the "Truncated Left Shift" method on nine binary numbers. We set the shift length to 2 and truncation length to 6. In this case, the utility first expands the number by two zero bits and then truncates the numbers from the left side to 6 digits. It also adds a lowercase binary postfix "b" and disables padding by setting padding to 0.
1011 10110 100001 101100 110111 1000010 1001101 1011000 1100011
101100b 011000b 000100b 110000b 011100b 001000b 110100b 100000b 001100b
Required options
These options will be used automatically if you select this example.
Specify the number of bits (n) to shift binary to the left.
Add n zeros at the end and truncate the binary number from the left to k digits.
Truncation length (k bits).
Add a binary prefix at the beginning or a binary postfix at the end of the number.
Pro tips Master online binary tools
You can pass input to this tool via ?input query argument and it will automatically compute output. Here's how to type it in your browser's address bar. Click to try!
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