In this paper, a new four-moduli set {2²ⁿ, 2²ⁿ⁺¹-1, 2^n/2+1, 2^n/2-1} for even n is introduced. This moduli set has 5n-bit dynamic range and well-formed moduli which result in a high speed RNS arithmetic unit. Furthermore, an efficient adder-based reverse converter is proposed for this moduli set by using New Chinese remainder theorem 2 (New CRT-II) algorithm. The proposed moduli set has a high speed RNS arithmetic unit and a reverse converter with lower hardware cost and delay in comparison to the recently introduced moduli sets {2ⁿ-1, 2ⁿ, 2ⁿ+1, 2²ⁿ⁺¹-1} and {2ⁿ, 2²ⁿ⁺¹-1, 2^n/2-1, 2^n/2+1, 2ⁿ+1} with the same dynamic range.