Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 2: Problem 11

The decimal equivalent of \((11001)_{2}\) is (a) 25 (b) 50 (c) 35 (d) 15

Short Answer

Expert verified
The decimal equivalent of \( (11001)_{2} \) is 25, hence option (a) is correct.

Step by step solution

01

Identify Powers of 2 for Each Digit

Starting from the right side (Least significant bit), assign the power of 2 to each digit. For the binary digit \(11001\), powers of 2 will be \(2^0, 2^1, 2^2, 2^3, 2^4\) moving from right to left.
02

Multiply Powers of 2 with Corresponding Digits

Multiply each digit by its corresponding power of 2. For '1's multiply with the associated power of 2, for '0's multiply with 0. This gives the sequence: \(1*2^4, 1*2^3, 0*2^2, 0*2^1, 1*2^0\)
03

Add up All Values

Add the values we get from step 2, which are: \(1*2^4 = 16\), \(1*2^3 = 8\), \(0*2^2 = 0\), \(0*2^1 = 0\), \(1*2^0 = 1\). Summing these up: 16+8+0+0+1 = 25

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Integration of \(x\) w.r.t. \(x\) within the limits \(x=2\) to \(x=4\) has the value (a) 60 (b) 40 (c) 20 (d) 10

A general-purpose computer language is (a) Prolog (b) COBOL (c) \(C\) (d) FORTRAN

Slope of the line \(2 x-y=3\) is (a) \(-2\) (b) \(-1 / 2\) (c) \(1 / 2\) (d) 2

Derivative of \(x+\frac{1}{x}\) w.r.t. \(x\) is (a) \(1-\frac{1}{x^{2}}\) (b) \(1+\frac{1}{x^{2}}\) (c) \(-1+\frac{1}{x^{2}}\) (d) \(-1-\frac{1}{x^{2}}\)

\(\log _{a} 1\) is equal to (a) 0 (b) 1 (c) \(\infty\) (d) 10
See all solutions

Recommended explanations on Chemistry Textbooks

Kinetics

Read Explanation

Nuclear Chemistry

Read Explanation

Organic Chemistry

Read Explanation

The Earths Atmosphere

Read Explanation

Inorganic Chemistry

Read Explanation

Physical Chemistry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free