Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 4 - Number Representation and Calculation - 4.3 Computation in Positional Systems - Exercise Set 4.3: 3

Answer

$110_{two}$

Work Step by Step

Rightmost column: $1+1=2=1\times 2+0\times 1=_{}10_{two}$ record the $0 $( carry the 1): $.\qquad \ \ $1 $.\qquad \ \ $1$1_{two}$ $.\quad \ +\ $1$1_{two}$ $.\quad \_\_\_\_$ $.\qquad \ \ \ \ 0_{two} $ Next column: $1+1+1=3_{ten}=1\times2+1\times1=11_{two}$ record the 1: $.\qquad \ \ $1 $.\qquad \ \ $1$1_{two}$ $.\quad \ \ + $1$1_{two}$ $.\quad \_\_\_\_$ $.\qquad 110_{two} $ Check in base 10: 3+3=6
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