Homework Sourse1 Write scientific notation of the decimal number x 8 in bi
1) Write scientific notation of the decimal number x = .8 in binary system up to 11 digits by rounding to the nearest largest value. Show and explain your work.
2) State the maximum error in binary system that is resulted from the rounding applied ti the number in part 1. Show and explain your work.
1) Write scientific notation of the decimal number x = .8 in binary system up to 11 digits by rounding to the nearest largest value. Show and explain your work.
2) State the maximum error in binary system that is resulted from the rounding applied ti the number in part 1. Show and explain your work.
1) Write scientific notation of the decimal number x = .8 in binary system up to 11 digits by rounding to the nearest largest value. Show and explain your work.
2) State the maximum error in binary system that is resulted from the rounding applied ti the number in part 1. Show and explain your work.
Solution
0.8*2 = 1.6 1
0.6*2 = 1.2 1
0.2*2 = 0.4 0
0.4*2 = 0.8 0
0.8*2 = 1.6 1
now it will get repeated.
so binary notation of 0.8 is .11001100110
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error is 0.1100110011001100110011001100-0.11001100110 = 0.00000000000011001100...
