Question: 1. Convert the following binary numbers to decimal (base 10) form. 2. (a) 1.0110101 (b) 11.0010010001 a. Determine the IEEE single-precision and double-precision represen

1. Convert the following binary numbers to decimal (base 10) form. 2.

 

1. Convert the following binary numbers to decimal (base 10) form. 2. (a) 1.0110101 (b) 11.0010010001 a. Determine the IEEE single-precision and double-precision represen tations of the decimal number -52.234375. b. Determine the decimal number that corresponds to the word: [45DE-4000 16 3. Use the Bisection method to find ps for f(z) = r-cos r on [0,1]. 4. Use the bisection method to btain an interval of length less than 0.1 con- taining the solution of r = cos r in [0, 1]. How many more iterations would be needed to reduce the inetrval length to 10. 5. Find an approximation to 3 correct to within 104 using the Bisection Algorithm. (Hint: Consider f(x) 2-3.] 6. Use Newton-Raphson's method to find solutions accurate to within 10-4 for the following problems. (a) 3-22-5=0, [1,2]. (b) x-cos 0, (0.51

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