Question

The main idea of converting from base-10 scientific notation to base-2 scientific notation is to change the unit from a power of base-10 to a power of base-2. Consider the base-10 scientific notation number 1.45e-5. The value represented can be expressed in, say, units of LaTeX: 2^{-20}2 − 20. In this case, 1.45e-5 is about LaTeX: 15\cdot2^{-20}15 ⋅ 2 − 20, which can be expressed as LaTeX: 1111_2\cdot2^{-20}=1.111_2\cdot2^{-17}1111 2 ⋅ 2 − 20 = 1.111 2 ⋅ 2 − 17. Let LaTeX: x=x =2.567e-5. Express the value of LaTeX: xx in units of LaTeX: 2^p2 p where LaTeX: p=p =-20. Round your answer to the closest integer and express the answer as a base-10 unsigned integer.

Answer 1