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: 28

Answer

$123_{four}$

Work Step by Step

$(3\times 1)_{10}=(3)_{10}=(3)_{4}$ Record the $3$; there is nothing to carry. $\begin{array}{llll} & 2 & 1_{four} & \\ \times & & 3_{four} & \\ -- & -- & -- & \\ & & 3_{four} & \end{array}$ $(3\times 2)_{10}=(6)_{10}=1\times 4+2=(12)_{4}$ Record the $12.$ Result: $123_{four}$
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