Elementary Technical Mathematics

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

Chapter 16 - Test - Page 567: 20

Answer

$1110111101$

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. $3_{16}=3_{10}=2^1+2^0=11_2=0011_2$ $B_{16}=11_{10}=2^3+2^1+2^0=1011_2$ $D_{16}=13_{10}=2^3+2^2+2^0=1101_2$ $\ \ \ \ 3\ \ \ \ \ B\ \ \ \ \ D$ $\overbrace{0011}\overbrace{1011}\overbrace{1101}$
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