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: 27

Answer

$11_{two}$

Work Step by Step

$(1\times 1)_{10}=(1)_{10}=(1)_{2}$ Record the 1; there is nothing to carry. $\begin{array}{llll} & 1 & 1_{two} & \\ \times & & 1_{two} & \\ -- & -- & -- & \\ & & 1_{two} & \end{array}$ $(1\times 1)_{10}=(1)_{10}=(1)_{2}$ Result: $11_{two}$
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