Numerical Methods for Engineers and Scientists

Published by Wiley
ISBN 10: 1118554930
ISBN 13: 978-1-11855-493-7

Chapter 1 - Section 1.5 - Problems: 1.2

Answer

13.125

Work Step by Step

1101.001 (Binary number) 3210.-1-2-3 (index/position) 1- Calculate the first part (left side of the dot) $ 1\times 2^{3} + 1 \times 2^{2} + 0 \times 2^{1} + 1 \times 2^{0} = 13$ 2- Calculate the second part (right side of the dot) $ 0 \times 2^{-1} + 0 \times 2^{-2}+ 1\times 2^{-3} = 0.125 $ 3- Add numbers calculated in 1 and 2 together (whole number + decimal part) $ 13 + 0.125 = 13.125$
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