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: 25

Answer

$152_{six}$

Work Step by Step

$(4\times 5)_{10}=(20)_{10}=3\times 6+2=(32)_{six}$ Record the 2, and carry the 3. $\begin{array}{llll} & 2 & 5_{six} & \\ \times & & 4_{six} & \\ -- & -- & -- & \\ & & 2_{six} & \end{array}$ $(4\times 2)_{10}=(8)_{10}=1\times 6+2=(12)_{six}$ $12_{six}+3_{six}=15_{six}$ record the $5$; carry the $1$, and record the 1. $\begin{array}{llll} & 2 & 5_{six} & \\ \times & & 4_{six} & \\ -- & -- & -- & \\ 1 & 5 & 2_{six} & \end{array}$
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