1. Convert the following binary numbers to decimal (base 10) form. 2. (a) 1.0110101 (b) 11.0010010001...

 

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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 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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1 To convert the given binary numbers to decimal form you can use the positional numeral system and ... View the full answer