1. To what extent does each of the following items play the role of processor and/or memory when used in numerical computations: an abacus; a slide rule; an electronic pocket calculator? 2. Define the terms software compatibility and hardware compatibility. What role have they played in the evolution of computers? 3. Use the method of differences to compute x5, for integer values of x from 1 to 8 . What is the smallest value of i for which the ith difference of x5 is a constant? What is the value of that constant? 4. Use the method of differences embodied in Babbage's Difference Engine to compute x3, for integer values of x from 1 to 10 . 5. State Moore's law. Suppose in January 2020, Intel announced a new microprocessor with 2 billion transistors. According to Moore's law, when will Intel introduce a microprocessor with 8 billion transistors? 6. Differentiate between Moore's law and Rock's law