Elementary Technical Mathematics

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

Chapter 16 - Review - Page 567: 2

Answer

25

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. $\underset\uparrow1\ \ \ \underset\uparrow1\ \ \ \underset\uparrow0\ \ \ \underset\uparrow0\ \ \ \underset\uparrow1$ $2^4\ 2^3\ 2^2\ 2^1\ 2^0\longrightarrow$ place value Multiply each non-zero digit by it's place value (using Base 10 computations) and find the sum of each. $(1\times2^4) +(1\times2^3)+(1\times2^0)=16+8+1=25$
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