Elementary Technical Mathematics

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

Chapter 16 - Review: 28

Answer

1101100101

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. $3_{16}=3_{10}=2^1+2^0=11_2=0011_2$ $6_{16}=6_{10}=2^2+2^1=110_2=0110_2$ $5_{16}=5_{10}=2^2+2^0=101_2=0101_2$ The leading zeroes can be dropped from the first group of 4 when writing the final answer. $\underbrace{\ \ \ 3\ \ \ }\ \underbrace{\ \ \ 6\ \ \ }\ \underbrace{\ \ \ 5\ \ \ }$ $0011\ \ 0110\ \ 0101$
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