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: 13

Answer

$13_{four}$

Work Step by Step

$2$ is less than 3, borrow one four from the next column $(4+2)-3 =3_{ten}=3_{four}$ $\left[\begin{array}{lll} & 3^{(*)} & 2_{four}\\ - & 1 & 3_{four}\\ - & - & -\\ & & 3_{four} \end{array}\right]$ Next column: we borrowed 1 from 3, subtract $2-1=1_{ten}=1_{four}$ record (no borrowing) $\left[\begin{array}{lll} & 3^{(*)} & 2_{four}\\ - & 1 & 3_{four}\\ - & - & -\\ & 1 & 3_{four} \end{array}\right]$ Check in base 10: $14-7=7$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.