Elementary Technical Mathematics

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

Chapter 16 - Review: 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. $(1\times2^4) +(1\times2^3)+(1\times2^0)=16+8+1=25$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.