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: 15

Answer

$4_{five}$

Work Step by Step

Start with right-most column. 3 is less than 4. Borrow 1 five from the 2 in the next column. In base ten: (3+5)-4=4 Record: $4_{five}$ .$\ \ \ 23_{five}$ $-\ 14_{five}$ $ \_\_\_ \_ $ $\quad \ \ 4_{five}$ Next column: $(2-1)=1$ (we borrowed one five) $1-1=0$ No need to record the zero. Result: $4_{five}$
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