Elementary Technical Mathematics

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

Chapter 16 - Review - Page 567: 11

Answer

$11110011$

Work Step by Step

As with standard Base 10 multiplication, multiply each digit of the second factor by the first factor, adding a 0 to the end of the product for each digit to the right of the digit you are multiplying. $\ \ \ \ \ \ \ \ \ \ \ 1\,1\,0\,1\,1$ $\ \ \ \ \ \ \ \ \ \underline{\ \ \ \ \ 1\,0\,0\,1}$ $\ \ \ \ \ \ \ \ \ \ \ 1\,1\,0\,1\,1$ $\ \ \ \underline{1\,1\,0\,1\,1\,0\,0\,0}\longrightarrow$ add three\gt zeroes at the end $\ \ \ 1\, 1\, 1\, \underset\uparrow1\, \underset\uparrow0\,0\,1\,1$ $\ \ \ \ \ \ \ \ \ \ $ $\uparrow1+1=10$ in binary, write 0 in this column and carry 1 to the left. $\ \ \ \ \ \ \ \ \ \ $ $1+1+1=11$ in binary, write 1 in this column and carry 1 to the left.
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