Please explain step by step: Let e = 2.71828183 be the Euler’s number with 8 decimal digits of precision. Find the binary scientific notation of e with five bits after the binary point; i.e. find integer n and bits x1, x2, . . . , x5 such that e = 1.x1x2x3x4x5 × 2 n . Find the single-precision IEEE 754 representation of e. (Hint: Round the result of 223e to the closest integer like m. Convert m to its normalized binary scientific notation and round its fraction to 23 bits after the binary point. Finally, find the normalized binary scientific notation of m/2 23 by subtracting 23 from the power of two in the representation of m).

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