Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 16 - Test: 6

Answer

1011

Work Step by Step

Align the numbers at the decimal point and subtract the digits with the same place value. In standard Base 10 notation, when the subtrahend is greater than the minuend you "borrow" from the column to the left. You add 10 to the minuend you are working and subtract 1 from the minuend to the left. In binary(or Base 2) subtraction, the same process is used. 2, written as $10_2$ is borrowed from the column to the left. When borrowing 1 from a digit whose value is $10_2$, the remainder is 1. $/\!\!\!1\,\overset{\overset{1}/\!\!\!10}0\,\overset{\overset{1}/\!\!\!10}0\,\overset{\overset{1}/\!\!\!10}0\,\overset{10}/\!\!\!1\,\overset{10}0$ $\underline{\ \ \,1\,0\ 1\ 1\ 1}$ $\ \ \ \ \ 1\ 0\ 1\ 1$
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