Bit Shift Calculator

About this calculator

A bitwise shift moves every bit in an integer's binary representation left or right by a given number of positions. A left shift (<<) inserts zero bits on the right and is equivalent to multiplying by 2ⁿ; a logical right shift (>>) drops bits off the right and is equivalent to integer division by 2ⁿ (or, for signed integers using an arithmetic shift, preserves the sign bit while dividing). This tool applies either operation to your integer and shows the result in decimal, hexadecimal and binary side by side.

Software engineers, embedded systems developers and computer science students use bit shifts constantly for fast power-of-two arithmetic, packing multiple values into a single integer (flags, RGB color channels, network protocol headers), and implementing hash functions or checksums — operations like CRC and many cryptographic primitives are built almost entirely from shifts and XORs because they execute in a single CPU cycle, far faster than a general multiply or divide.