Booth's algorithm is a method for performing signed multiplication in computer architecture that treats operands using Two's Complement representation to allow direct arithmetic operations on both positive and negative integers without separate sign handling. The core mechanism relies on analyzing bit transitions (transitions from 0 to 1 triggering subtraction and from 1 to 0 triggering addition) within the multiplier sequence, effectively reducing the number of partial products required for sequences of identical bits compared to standard shift-and-add methods. This approach bridges binary arithmetic theory with hardware implementation by unifying signed multiplication logic into a single iterative cycle that minimizes computational steps while maintaining compatibility with unsigned operations when sign extensions are zero.
Booth's algorithm is a method for performing signed multiplication in computer architecture that treats operands using Two's Complement representation to allow direct arithmetic operations on both po…