A method is described for operating a bistable resistance random access memory having two memory layer stacks that are aligned in series is disclosed. The bistable resistance random access memory comprises two memory layer stacks per memory cell, the bistable resistance random access memory operates in four logic states, a logic "00" state, a logic "01" state, a logic "10" state and a logic "11" state. The relationship between the four different logic states can be represented mathematically by the two variables n and f and a resistance R. The logic "0" state is represented by a mathematical expression (1+f)R. The logic "1" state is represented by a mathematical expression (n+f)R. The logic "2" state is represented by a mathematical expression (1+nf)R. The logic "3" state is represented by a mathematical expression n(1+f)R.