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

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1. Convert the following binary numbers to decimal (base 10) form. (a) 1.0110101 b) 11.0010010001 a. Determine the IEEE single-precision and double-precision represen- 2. tations of the decimal number -52 234375 b. Determine the decimal mumber that corresponds to the word: 45DE4000 3. Use the Bisection method to find p for f()-V-cos on 0,1. 4. Use the bisection method to btain an interval of length less than 0.1 con- taining the solution ofz = conz in [O. I . How many more iterations would be needed to reduce the inetrval length to 10 5. Find an approximation to v3 correct to within 10-4 using the Bisection Algorit han. [lint : Consider f(z)s 2-3.] 6. Use Newton-Raphson's method to find solutions accurate to within 10 for the following problems (a) r3-2rs_5=0, [1,2]. (b) -cosz 0, o,31

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