Elementary Technical Mathematics

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

Chapter 16 - Review: 29

Answer

$101100101010$

Work Step by Step

Replace each hexadecimal digit with its equivalent 4-digit binary form. Add zeroes to the front of the binary value if necessary to create a 4-digit number. $B_{16}=11_{10}=2^3+2^1+2^0=1011_2$ $2_{16}=2_{10}=2^1=10_2=0010_2$ $A_{16}=10_{10}=2^3+2^1=1010_2$ The leading zeroes can be dropped from the first group of 4 when writing the final answer. $\underbrace{\ \ \ B\ \ \ }\ \underbrace{\ \ \ 2\ \ \ }\ \underbrace{\ \ \ A\ \ \ }$ $1011\ \ 0010\ \ 1010$
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