การประมาณค่าจำนวนเต็มบวกด้วยพจน์เดี่ยวในระบบจำนวนฐานคู่ / ธีรภัทร์ ชุนเดชสัมฤทธิ์ = Approximation of positive integer in double-base number system with a single term / Teerapat Chundetsumrit
The double-base number system (DBNS) designed for parallel computing which has an advantage in arithmetic operations especially for multiplication and addition. Many exponential properties and identity rules had been proposed in order to simplify arithmetic operations. Unfortunately, division seem to have many disadvantages in the case that a denominator contains many terms.In this work, a single term representation for any number is investigated. We proposed an approximation algorithm for reducing a number of terms, especially for an integer. We also proposed a division algorithm together with the proof of correctness. Finally, reduction of an operation time is shown to be realized using a preprocessing table. We expect the idea of this thesis may be useful for future works which are related to some researches in hardware design or computer architecture.
