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: 6

Answer

$1244_{five}$

Work Step by Step

Rightmost column: $3+1=4=4\times1=4_{five}$ record the 4, no carry . .$\ $3 2 $3_{five}$ $+ $4 2 $1_{five}$ $\_ \_ \_ \_ \_$ $\qquad 4_{five}$ Next column: $2+2=4=4\times1=4_{five}$ record the 4, no carry . .$\ \ $3 2 $3_{five}$ $+ $4 2 $1_{five}$ $\_ \_ \_ \_ \_$ $\quad \ \ 4 \ 4_{five}$ Next column: $3+4=7=1\times 5+2\times1=12_{five}$ record the 12 $\ \ $3 2 $3_{five}$ $+ $4 2 $1_{five}$ $\_ \_ \_ \_ \_$ $ 1\ 2\ 4 \ 4_{five}$ Check in base 10: $3\times 25+2\times 5+3=88$ $4\times 25+2\times 5+1=111$ $1\times 125+2\times 25+4\times 5+4=199$
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