You are applying for jobs in the financial industry, looking for a position applying numerical methods in the field of financial modeling. An interviewer tells you about the 1982 rounding error in the Vancouver Stock Exchange's index, in which the error caused a 50 percent loss of value in 22 months. The interviewer decides to determine your knowledge of floating-point representations with a quick test. You are asked to represent the number in a floating-point system that contains numbers of the form with and exponent . What is the absolute error due to rounding if the floating point system rounds down (towards zero)