Fresh features from the #1 AI-enhanced learning platform.Try it free
Fresh features from the #1 AI-enhanced learning platformCrush your year with the magic of personalized studying.Try it free
Question

Convert F111sixteen \text{F}111_{\text {sixteen }} to binary.

Solution

Verified
Answered 2 years ago
Answered 2 years ago
Step 1
1 of 2

F111sixteen???two\text{F}111_{sixteen} \to ???_{two}

Because 16 and 2 are powers of 2, there is a shortcut to convert the numbers using Table 13 p.167. We divide the number in hexadecimalhexadecimal in separate digits:

F1111111000100010001\begin{aligned} &\text{\:F}\hspace{4em}1\hspace{4em}1\hspace{4em}1\\ &\textcolor{#c34632}{\downarrow}\hspace{4em}\textcolor{#c34632}{\downarrow}\hspace{4em}\textcolor{#c34632}{\downarrow}\hspace{4em}\textcolor{#c34632}{\downarrow}\\ &1111\hspace{2em}0001\hspace{3em}0001\hspace{2em}0001 \end{aligned}

Hence, the number in binary form is:

1111000100010001two=1111000100010001two1111'0001'0001'0001_{two} = 1111000100010001_{two}

Create an account to view solutions

Create an account to view solutions

Recommended textbook solutions

College Algebra and Trigonometry 1st Edition by Donna Gerken, Julie Miller

College Algebra and Trigonometry

1st EditionISBN: 9780078035623Donna Gerken, Julie Miller
9,697 solutions
Algebra and Trigonometry 6th Edition by Robert F. Blitzer

Algebra and Trigonometry

6th EditionISBN: 9780134463216 (4 more)Robert F. Blitzer
10,709 solutions
Mathematical Ideas 12th Edition by Charles D. Miller, Hornsby, Vern E. Heeren

Mathematical Ideas

12th EditionISBN: 9780321693815Charles D. Miller, Hornsby, Vern E. Heeren
3,490 solutions
Algebra and Trigonometry 4th Edition by Lothar Redlin, Stewart, Watson

Algebra and Trigonometry

4th EditionISBN: 9781305071742Lothar Redlin, Stewart, Watson
10,984 solutions

More related questions