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In the double precision implementation of the IEEE standard for binary floating

ID: 670011 • Letter: I

Question

In the double precision implementation of the IEEE standard for binary floating point numbers, what is the decimal value of an IEEE standard single precision normal number in which all 64 bits are ones? Convert the number 64.8125 to binary format? Convert the binary number 10110001.001101 to decimal format. Write a computer program to calculate e -2.5x an approximate series summation, to an accuracy of 10 The value of x should be supplied to the program with the "input" command. Do not run the program. Generate a vector of random numbers a = rand(10,1). Write a program to sort the vector in descending order. Plot the function over a range of x values sufficient to show the 1st positive root. Use the function "fzero" to find that root.

Explanation / Answer

Convert in binary-

64.8125= 64 + 2-1= 0.5 + 2-2= .25 + 2-4= 0.0625

100000.110

in matlab use function

for binary to decimal-

bin2dec(10110001.001101);