Bitwise NOR

The Bitwise NOR Calculator computes the bitwise NOR operation (~(A | B)) between two integers. The NOR operation first performs a bitwise OR on the two numbers, then inverts every bit. In Boolean notation, this is expressed as ~(A | B). For each bit position, the result is 1 only when both input bits are 0.

Bitwise NOR is one of the fundamental operations in digital logic and computer engineering. Because NOR is a universal gate (any Boolean function can be implemented using only NOR gates), it is widely used in circuit design, low-level programming, and embedded systems development. The calculator displays results in both decimal and binary (0b prefix) formats for easy verification.

The NOR operation is the logical complement of OR: where OR outputs 1 if at least one input is 1, NOR outputs 1 only when both inputs are 0. In digital electronics, NOR gates are preferred in some circuit designs because they are simpler to fabricate than AND or OR gates in certain semiconductor technologies like RTL (resistor-transistor logic) and DTL (diode-transistor logic). This makes the NOR gate a building block for many integrated circuits.

In programming, bitwise NOR is used for clearing specific bits, computing two's complement operations, and implementing efficient bitmask manipulations. The 32-bit signed integer result is displayed alongside its unsigned binary representation, making it easy for students and professionals to verify their digital logic work. Whether you are learning Boolean algebra, debugging embedded firmware, or designing FPGA logic, this calculator provides instant bitwise NOR results for any integer inputs.