Q1.What is the smallest 32-bit floating point number f such that 128 + f > 128 ? What is the smallest 32-bit floating point number g such that 1 + g > 1 ? What is the relationship between f and g? Where f and g are differentiable functions. We have found that the given functions have the same derivative. In general, if two differentiable functions differs by a constant at x, its derivatives slopes at this point are the same. Write a short C++ or Python program to support your answer (for example, show that you checked whether there is no smaller number than your f by trying 128+f/2 == 128. Q2. Explain what changes are needed to change the 4x3 memory presented on Slide 62 of Chapter 3 to a 16x6 memory.

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Problems on Growing Functions

For a given set of functions f and g, the growth of functions states that the function g grows as fast as the function f. The growth rate of algorithms helps determine the algorithm's efficiency and compare its performance to other algorithms.