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: 4

Answer

$1000_{two}$

Work Step by Step

Rightmost column: $1+1=2=1\times 2+0\times 1=_{}10_{two}$ record the $0 $( carry the 1): $.\qquad \quad\ $1 $.\qquad \ $1 0 $1_{two}$ $.\quad +\ \ \ \ \ $1 $1_{two}$ $.\quad \quad \_\_\_\_$ $.\qquad \quad \ \ 0_{two}$ Next column: $1+0+1=2=1\times 2+0\times 1=_{}10_{two}$ record the $0 $( carry the 1): $.\qquad\ 1\ $1 $.\qquad\ $1 0 $1_{two}$ $.\quad +\ \ \ \ \ $1 $1_{two}$ $.\quad \quad \_\_\_\_$ $.\qquad\quad 0 \ 0_{two}$ Next column: $1+1=2=1\times 2+0\times 1=_{}10_{two}$ record the $10 $ $.\qquad\ 1\ $1 $.\qquad\ $1 0 $1_{two}$ $.\quad +\ \ \ \ \ $1 $1_{two}$ $.\quad \quad \_\_\_\_$ $.\quad\ 1\ 0\ 0 \ 0_{two}$ Check in base 10: 5+3=8
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