## Elementary Technical Mathematics

Published by Brooks Cole

# Chapter 16 - Review - Page 567: 30

#### Answer

$10010100001$

#### 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. $4_{16}=4_{10}=2^2=100_2=0100_2$ $A_{16}=10_{10}=2^3+2^1=1010_2$ $A_{16}=10_{10}=2^3+2^1=1010_2$ $1_{16}=1_{10}=2^0=1_2=0001_2$ The leading zeroes can be dropped from the first group of 4 when writing the final answer. $\underbrace{\ \ \ 4\ \ \ }\ \underbrace{\ \ \ A\ \ \ }\ \underbrace{\ \ \ A\ \ \ }\ \underbrace{\ \ \ 1\ \ \ }$ $0100\ \ \ 1010\ \ \ 1010\ \ \ 0001$

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