Abstract: Evolvable arithmetic uses fixed length chromosome code which can decide configuration in traditional evolvable hardware,its long code will led to low evolvable rate and high cost.An evolvable arithmetic which based on ternary code was advanced,these disadvantages can be solved by it.Using the matrix operation predominance of Matlab and the traditional GA,which can implement evolvable arithmetic,and find optimal circuit encode matrix,and get the optimal circuit function expression.The instance reflects many merits,which including the ternary code has small dimensions than fixed length chromosome code,fast constringent was led by multi-element directional variation,the validity of ternary code was proved.