Introduction to Numerical Analysis and Scientific Computing

Answers to Odd-Numbered Exercises

Chapter 1

• Exercise 1:

  1.a e ≃ (2.718)₁₀ ≃ (10.10110…….)₂.

  1.b (0.875)₁₀ = (0.111)₂.

  1.c (792)₁₀ = (1100011000)₂

• Exercise 3:

  3.a (671.535)₈ = (441.681)₁₀.

  3.b (1145.32)₈ = (613.40625)₁₀.

• Exercise 5:

  5.- $x={\left(0.6\right)}_{10}={\left(0.\overline{46314}\right)}_8={\left(0.\overline{1001}\right)}_2.$

  5.-

  $x={\left(0.6\right)}_{10}={\left(0.\overline{1001}\right)}_2.$

• Exercise 7:

  7.a Incorrect

  7.b Correct

  7.c Correct

  7.d Incorrect

  7.e Correct

• Exercise 9:

  

• Exercise 11:

  11.a x = +0

  11.b x = − 0

  11.c x = NaN

  11.d x = NaN

  11.e x = +1 × 2⁻¹²⁶

  11.f x = +1.1111 × 22

  11.g x = +1.0 × 2⁰

  11.h x = +1.10011001100110011001101 ...