Elementary Technical Mathematics

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

Chapter 16 - Review: 3

Answer

52

Work Step by Step

Just as each digit of a standard Base 10 number has a place value that is a power of 10, each digit of a binary, or Base 2, number has a place value that is a power of 2. Reading right to left, the exponent starts at 0 and increases by 1. $\underset\uparrow1\ \ \ \underset\uparrow1\ \ \ \underset\uparrow0\ \ \ \underset\uparrow1\ \ \ \underset\uparrow0\ \ \ \underset\uparrow0\ \ \ $ $2^5\ 2^4\ 2^3\ 2^2\ 2^1\ 2^0\longrightarrow$ place value Multiply each non-zero digit by it's place value (using Base 10 computations) and find the sum of each. $(1\times2^5) +(1\times2^4)+(1\times2^2)=32+16+4=52$
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