0x prefix, or binary with 0b).Bitwise Calculator provides a visual way to perform operations directly on the binary representation of integers. This bit manipulation tool is fundamental to systems programming and network masking, where each bit is tested or modified independently. This binary operation visualizer shows exactly how each logical gate changes individual bits in a 32-bit integer calculator context.
AND (&) - a bit is 1 only if both inputs have 1. Used for bitwise and or xor masking. OR (|) - a bit is 1 if either input has 1. Used for setting flags. XOR (^) - a bit is 1 if the inputs differ. Used for toggling bits. NOT (~) - flips all bits. Bit shifter online - left shift (<<) and right shift (>>) move bit positions to multiply or divide by powers of 2. This binary logic calculator ensures complete accuracy for signed integers.
0xFF in binary is 11111111. ANDing any value with 0xFF zeros out all bits above the low 8, extracting just the least significant byte. This is the basis of all bitmask operations.
>> is an arithmetic right shift - it preserves the sign bit, shifting in 1s for negative numbers. >>> is a logical (unsigned) right shift - it always shifts in 0s, treating the value as unsigned.
JavaScript stores integers as 32-bit signed two's complement values. ~0 flips all 32 bits of 0 (all zeros) to all ones - which is -1 in two's complement signed representation.
Unix permissions are three 3-bit fields: owner, group, other. 7 = 0b111 (rwx), 5 = 0b101 (r-x). Each bit represents a permission flag - read (bit 2), write (bit 1), execute (bit 0).
Whether you're developing high-performance code or troubleshooting network masks, our bit-level tools provide the precision you need. Explore our Binary to Decimal converter and Hex to Binary tool for comprehensive number-base work, and bookmark this Bitwise Calculator for all your logic operations.