Question

What is the binary representation of decimal number 16 using 4 bits? 

          What is the binary representation of decimal number 16 using 4 bits?

Added by Charles M.

Computer Science and Information Technology
Computer Science and Information Technology
Trishna Knowledge Systems 2018 Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
What is the binary representation of decimal number 16 using 4 bits?
Close icon
Play audio
Feedback
Powered by NumerAI
Danielle Fairburn David Collins
Jennifer Stoner verified

Eduard Sanchez and 92 other subject AP CS educators are ready to help you.

Ask a new question
*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs
*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.
*

Recommended Videos

-
3-what-is-the-largest-binary-number-that-can-be-expressed-with-16-bits-what-are-the-equivalent-decimal-and-hexadecimal-numbers-35117

Eduard S.
18-what-is-the-16-bit-hexadecimal-representation-ol-each-signed-decimal-integer-32-62-61206

18. What is the 16-bit hexadecimal representation of each signed decimal integer? a. -32 b. -62

Saket K.
what-is-the-binary-representation-of-the-hexadecimal-value-4eab-76266

What is the binary representation of the hexadecimal value: 4EAB?

Gregory H.
*

Recommended Textbooks

-
Computer Science and Information Technology

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition
achievement 1,694 solutions
Introduction to Programming Using Python

Introduction to Programming Using Python

Y. Daniel Liang 1st Edition
achievement 1,201 solutions
Computer Science - An Overview

Computer Science - An Overview

Glenn Brookshear, Dennis Brylow 12th Edition
achievement 1,092 solutions
*

Transcript

-
00:01 Hi there, so for this problem we are asked, what is the largest binary number that can be expressed with 16 bits? and what are the equivalent decimal and exadecimal numbers? so we know that in a numerical arithmetic of n bits, so if we have n bits, then the largest possible, number that can be represented is when all n bits are ones and its decimal value is going to be given by two elevated to end to the minus one.
00:56 So this will give us the decimal value.
01:02 So in this case, because we have 16 bits, that means that we are going to have the largest number is when all 16 bits are ones.
01:17 So we obtain just 16 ones in here.
01:30 Let me count then.
01:41 There it goes.
01:41 This is the largest number that we can write.
01:45 This is the largest binary number that we can express with 16 bits...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever