Skyrmion-based devices are promising candidates for non-volatile memory and low-delay time computation. Many skyrmion-based devices execute operation by controlling skyrmion trajectory, which can be impeded by the skyrmion Hall effect. Here, the design of skyrmionbased arithmetic device built on synthetic antiferromagnetic (SyAF) structures are presented, where the structure can greatly suppress skyrmion Hall effect. In this study, the operations of skyrmion-based half adder, full adder and XOR logic gate are executed by introducing geometric notches and tilted edges, which can annihilate or diverge skyrmion. Performance of these skyrmion-based devices are evaluated, where the delay time and energy-delay product of the single-bit full adder are 1.95 ns and 2.50 × 10 −22 Js , which are only 12% and 79% of the previously proposed skyrmion-based adder. This improvement is significant in the construction of ripple-carry adder and ripple-carry adder-subtracter. Therefore, our skyrmion-based SyAF arithmetic device are promising candidate to develop high-speed spintronic devices.