International Scholarly Research Notices

Research Article

New Adder-Based RNS-to-Binary Converters for the { 2 𝑛 + 1 + 1 , 2 𝑛 + 1 − 1 , 2 𝑛 } Moduli Set

Table 1

Design example.
CSA1 CPACSA2
𝑥 1 ∶ 0 0 1 0 𝑠 1 ∶ 1 1 1 1 𝐵 1 ∶ 0 0 0 0 0 1 1 0 0 1 1
𝑥 2 ∶ 0 1 0 0 𝑐 1 ∶ 0 0 0 0 𝐵 2 ∶ 0 0 0 0 0 0 0 0 0 0 0
𝑢 3 ∶ 1 0 0 1 𝐶 𝑟 ∶ 1 1 1 1 𝑢 2 ∶ 1 1 1 1 1 0 1 1 1 1 1
𝑠 1 ∶ 1 1 1 1 𝐶 𝑟 ∶ 0 0 0 0 𝑠 3 ∶ 1 1 1 1 1 1 0 1 1 0 0
𝑐 1 ∶ 0 0 0 0 𝑐 3 ∶ 0 0 0 0 0 1 0 0 1 1 0
𝑅 𝑓 ∶ 0 0 0 0 0 0 1 0 0 1 1