👉 Scanner math, also known as scan math or scan-based arithmetic, is a computational method used primarily in hardware for performing arithmetic operations. It involves converting mathematical expressions into a format that can be efficiently processed by digital circuits, typically using shift registers and adders. The process begins by converting the mathematical expression into a sequence of binary numbers, where each number corresponds to a shift and an operation (addition or multiplication). For example, the expression \(2 + 3 \times 4\) is first converted into binary shifts and additions: \(1010 \cdot 1000 + 0111 \cdot 2 + 100000\). This conversion allows for parallel processing, making it highly efficient for hardware implementations. The result is then read out from the shift registers in a specific order, yielding the final answer. This method is particularly useful in applications like calculators, digital signal processors, and embedded systems where speed and low power consumption are critical.
