3. Let α = √ 2. (a) Find the binary scientific notation of α with five bits after the binary point, i.e. find integer n

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3. Let α = √ 2.
(a) Find the binary scientific notation of α with five bitsafter the binary point, i.e. find integer n and bits x1, x2, . . .,x5 such that α = 1.x1x2x3x4x5 × 2 n.
(b) Find the single-precision IEEE 754 representation of √ 2.(Hint: First, find √ 2 47 using a scientific calculator thatsupports long numbers with 15 decimal digits. Then, round theresult to the closest integer like m. Finally, find the floatingpoint representation of √ 2 = m/2 23)