With the development of the electronic industry, the requirements for equipment are becoming higher and higher in recent years. In this paper, a 4-bit absolute value detector is designed to have a low delay and energy consumption. The detector is composed of MUX, an adder, and a comparator. By comparing the 4-bit input with the given threshold value, the result is output. Based on the logic effort theory, this paper calculates the logic effort and parasitic delay of each stage of the detector and uses the transmission gate logic to redesign the XOR gate, which greatly improves its performance. Through certain calculations and optimization, the delay and energy consumption of the detector is reduced. Finally, this paper realizes a relatively simple 4-bit absolute value detection circuit, which has a small number of transistors and greatly improves the performance of the circuit. At the same time, it has a certain reference value for the related circuit design.