HWP: a new insight into canonical signed digit

A new Hamming weight pyramid (HWP) that resembles the Pascal triangle is proposed to succinctly compress the information about the distribution of the Hamming weight in canonical signed digit (CSD) represented numbers in a visually appealing manner for analysis and synthesis. Many interesting properties are discovered in this regularly structured HWP. These properties lead to a novel and elegant way to convert decimal numbers to their binary equivalence, which is an ineluctable intermediate process in the conventional decimal to CSD conversion algorithms.