1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
musickatia [10]
3 years ago
15

Convert the following Base 10 (decimal) numbers to base 2(binary): 107 200

Computers and Technology
1 answer:
melamori03 [73]3 years ago
7 0

<u>Answer:</u>

107₁₀ - 1101011

₂ (Binary representation)

200₁₀- 11001000₂ (Binary representation)

<u>Explanation:</u>

Converting from Decimal to binary:

Procedure -

1. Divide the number by 2, write the reminder separately.

2. Divide the divisor by 2, write the reminder before the previously written reminders.

Keep doing this till you get your divisor as 1.

Then we will write the divisor  before the written reminders and that will be the binary representation.

   

 For 107 :

       

          We divide 107 by 2 ,we get the divisor 53 and remainder 1

                                                  ( 1 )

Then,we will divide this divisor i.e 53 by 2,we get divisor 26 and remainder 1 ,we will put this remainder before the previous one.

                                                ( 1 1 )      

Then,we will divide this divisor i.e 26 by 2,we get divisor 13 and remainder 0 ,we will put this remainder before the previous one.    

                                                 ( 0 1 1 )

Then,we will divide this divisor i.e 13 by 2,we get divisor 6 and remainder 1 ,we will put this remainder before the previous one.    

                                                 ( 1 0 1 1 )

Then,we will divide this divisor i.e 6 by 2,we get divisor 3 and remainder 0,we will put this remainder before the previous one.    

                                                 ( 0 1 0 1 1 )

Then,we will divide this divisor i.e 3 by 2,we get divisor 1 and remainder 1  ,we will put this remainder before the previous one.    

                                                 ( 1 0 1 0 1 1 )

As we get the divisor=1,then we will stop.we will write the divisor before the written reminders.

                                              ( 1 1 0 1 0 1 1 )

This will be the binary representation of 107.

For 200 :

         We divide 200 by 2 ,we get the divisor 100 and remainder 0

                                                  ( 0 )

Then,we will divide this divisor i.e 100 by 2,we get divisor 50 and remainder 0 ,we will put this remainder before the previous one.

                                                ( 0 0 )      

Then,we will divide this divisor i.e 50 by 2,we get divisor 25 and remainder 0 ,we will put this remainder before the previous one.    

                                                 ( 0 0 0 )

Then,we will divide this divisor i.e 25 by 2,we get divisor 12 and remainder 1 ,we will put this remainder before the previous one.    

                                                 ( 1 0 0 0 )

Then,we will divide this divisor i.e 12 by 2,we get divisor 6 and remainder 0 ,we will put this remainder before the previous one.    

                                                 ( 0 1 0 0 0 )

Then,we will divide this divisor i.e 6 by 2,we get divisor 3 and remainder 0  ,we will put this remainder before the previous one.    

                                                 ( 0 0 1 0 0 0 )

Then,we will divide this divisor i.e 3 by 2,we get divisor 1 and remainder 1,we will put this remainder before the previous one.    

                                                 ( 1 0 0 1 0 0 0 )

As we get the divisor=1,then we will stop.we will write the divisor before the written reminders.

                                                 ( 1 1 0 0 1 0 0 0 )

This will be the binary representation of 200.

You might be interested in
The cyclical, multistep process by which designers and engineers design, build, and taste a new product is called:
zzz [600]
The answer is Design Process.  <span>The cyclical, multistep process by which designers and engineers design, build, and taste a new product is called Design Process.   </span><span>There are multiple steps, including exploring, designing, planning, making, testing, and revising.</span>
7 0
3 years ago
After a group sets a project schedule, members should be prepared to
spin [16.1K]
<span>make periodic adjustments on an as-needed basis.  </span>
5 0
3 years ago
Read 2 more answers
A photograph is taken by letting light fall on a light-sensitive medium, which then records the image onto that medium.
Andru [333]
True. At least that's how it is for camera's that print photos. Not digital cameras
4 0
3 years ago
Read 2 more answers
Which of these completes the sentence? People interpret information ___________. Choose one.
evablogger [386]

Explanation:

mannejaondpsbma0jdjdhdj

5 0
3 years ago
Read 2 more answers
A furniture manufacturer wants to find a more environmentally friendly way to make its products. A data analyst helps solve this
Alecsey [184]
The answer has to be true because everything makes sense
4 0
2 years ago
Other questions:
  • Mrs. Golden wanted to collect baseline data on how often Lauren speaks to her neighbors during silent reading. He divided the 15
    9·1 answer
  • Why is the answer A?
    6·1 answer
  • You want to make the background of a Web page blue, click _____.
    13·2 answers
  • You are tasked with accumulating survey data on a web page and are responsible for it being free from dirty data once you close
    11·1 answer
  • Which feature of a blog helps to store and retrieve older posts?
    6·2 answers
  • Because people can easily upload information and share online, they tend to:
    15·1 answer
  • Give me at least five main characteristic of irrigation equipment​
    8·1 answer
  • Is a free verse a poetry that has no images
    5·2 answers
  • How to realize dynamic balance of planar closed-chain leg mechanism?​
    7·2 answers
  • Who was making the high-pitched growling noise that Francisco hears?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!