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PDF gradedhw1.pdf + o File C:/Users/fidge/OneDrive/Documents/Homework/MAP5611/gradedhw1.pdf : 1 of 3 Q (L Page view A Read aloud Draw Highlight Erase G A BL Written Exercises

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PDF gradedhw1.pdf + o File C:/Users/fidge/OneDrive/Documents/Homework/MAP5611/gradedhw1.pdf : 1 of 3 Q (L Page view A Read aloud Draw Highlight Erase G A BL Written Exercises Problem 1.1 1.1.a. How many bits does a word containing a floating point number in the system FB,t, L,U) with B =9, t = 5, L = -7, U = 8? 1.1.b. Express the following numbers as floating point numbers in the system F(t, L,U) with B =9, t = 5, L = -7, U = 8. 122.9572 457932 0.0014973 1.1.c. Calculate the relative error for each number and verify it satisfies the bounds implied by the floating point system used. 1.1.d. Consider the IEEE single precision floating point encoding of a normalized floating point number: [0|4|H] = [ 0 | 10000101 | 11101000000000000000000 ] What is the number expressed as a decimal? 1 Type here to search 9 e J' 0 5:27 PM 2/2/2021 PDF gradedhw1.pdf + o File C:/Users/fidge/OneDrive/Documents/Homework/MAP5611/gradedhw1.pdf : 1 of 3 Q (L Page view A Read aloud Draw Highlight Erase G A BL Written Exercises Problem 1.1 1.1.a. How many bits does a word containing a floating point number in the system FB,t, L,U) with B =9, t = 5, L = -7, U = 8? 1.1.b. Express the following numbers as floating point numbers in the system F(t, L,U) with B =9, t = 5, L = -7, U = 8. 122.9572 457932 0.0014973 1.1.c. Calculate the relative error for each number and verify it satisfies the bounds implied by the floating point system used. 1.1.d. Consider the IEEE single precision floating point encoding of a normalized floating point number: [0|4|H] = [ 0 | 10000101 | 11101000000000000000000 ] What is the number expressed as a decimal? 1 Type here to search 9 e J' 0 5:27 PM 2/2/2021

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