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: 2

Answer

$113_{four}$

Work Step by Step

Rightmost column: $1+2=3_{ten}=3\times1=_{}3_{four}$ record the 3 (no carry): $.\qquad \ \ $ $.\qquad \ \ 31_{four}$ $.\quad +\ \ \ 22_{four}$ $.\quad \_\_\_\_$ $.\qquad \ \ \ \ 3_{four}$ Next column: $3+2=5=1\times4+1\times1=11_{four}$ record the 11: $.\qquad \ \ $ $.\qquad \ \ 31_{four}$ $.\quad +\ \ \ 22_{four}$ $.\quad \_\_\_\_$ $.\qquad 113_{four}$ Check in base 10: $13+10=23$
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