Bit Shift
Shift binary numbers left or right by a specified number of bits with this free bit shift calculator. View shifted results in both binary and decimal formats for bit manipulation.
About This Calculator
This bit shift calculator moves all bits of a binary number left or right by a specified number of positions. Bit shifting is a fundamental operation in low-level programming and digital logic, used for fast arithmetic and bit field manipulation.
A left shift by n positions is equivalent to multiplying the number by 2^n. For example, shifting 1010 (decimal 10) left by 2 positions gives 101000 (decimal 40). A right shift by n positions is equivalent to integer division by 2^n, rounding down. Shifting 1010 (10) right by 2 gives 10 (2). Left shifts fill vacated positions with zeros, while right shifts discard bits that fall off the right end.
This tool is designed for programmers writing performance-critical code that uses bit manipulation, computer science students studying binary arithmetic, embedded systems engineers working with hardware registers, and anyone learning how binary data is processed at the bit level.
Frequently Asked Questions
What is a bit shift operation?
A bit shift operation moves all bits of a binary number left or right by a specified number of positions. Left shifting (<<) multiplies the number by 2 for each shift position (adding zeros on the right). Right shifting (>>) divides the number by 2 for each shift position (discarding bits on the right).
What is the difference between left shift and right shift?
Left shift (<<) moves bits to the left, filling empty positions on the right with zeros. This effectively multiplies the number by 2^n. Right shift (>>) moves bits to the right, discarding bits that fall off. This effectively divides the number by 2^n and rounds down. For example, 1010 (10) left shifted by 2 becomes 101000 (40), right shifted by 2 becomes 10 (2).
What are bit shifts used for?
Bit shifts are used in low-level programming for fast multiplication and division by powers of two, extracting or setting specific bit fields, implementing hash functions, optimizing performance-critical code, and working with hardware registers in embedded systems. They are among the fastest CPU operations.
Can I shift by a negative amount?
The shift amount must be a non-negative integer. Negative shift amounts are not allowed in JavaScript bitwise operations. The calculator enforces this by setting a minimum value of 0 on the shift amount input field.
Is this tool free to use?
Yes, all calculators on Calculy are completely free to use with no registration or subscription required.
What happens to bits shifted beyond the bit length?
Bits that are shifted beyond the available bit positions are discarded for right shifts. For left shifts, new zero bits fill in on the right. The result may require more bits than the original number, which our calculator shows by displaying the complete binary result.