Elementary Technical Mathematics

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

Chapter 16 - Test - Page 567: 7

Answer

$101011111$

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. $\ \ \ \ \ \ \ \ \ 11011$ $\underline{\ \ \ \ \ \ \ \ \ \ \ 1101}$ $\ \ \ \ \ \ \ \ \ 11011$ $\ \ \ \ \ 1101100\longrightarrow$ add 2 zeroes at the end $\underline{\ \ \ 11011000}\longrightarrow$ add 3 zeroes at the end $\ 101011111$ $\ \ \ |\ |\ |\ |\ ^{\llcorner}$1+1+1=11; write 1 and carry 1 $\ \ \ |\ |\ |\ ^{\llcorner}$ 1+1+1=11; write 1 and carry 1 $\ \ \ |\ |\ ^{\llcorner}$ 1+1=10; write 0 and carry 1 $\ \ \ |\ ^{\llcorner}$ 1+1+1=11; write 1 and carry 1 $\ \ \ ^{\llcorner}$ 1+1=10; write 0 and carry 1
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