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
Mice21 [21]
3 years ago
6

What is the decimal representation of the following signed binary numbers?

Computers and Technology
1 answer:
zheka24 [161]3 years ago
5 0

Answer:

(10000000)₂ = -128 in decimal

(11001100)₂ = -52 in decimal

(10110111)₂ = -73 in decimal

Explanation:

<u>NOTE:</u> If Most Significant Bit is 0, it is positive number and if MSB is 1, it is negative number. If number is positive we can simply convert it to decimal. But if number is negative, follow following formula:

  • (complement of the number) +1

<u>EXAMPLE 1</u>

  (10000000)₂

  (01 1 1 1 1 1 1)₂   ↔  complement of the number

<u>+                    1</u>

  (10000000)₂ = 1 ×2^{7}= 128 (magnitude in decimal)

But we remember MSB was 1 so answer is -128.

<u>EXAMPLE 2</u>

  (1 1 0 0 1 1 00)₂

  (0 0 1 1 0 0 1 1)₂

<u>+                       1  </u>

  (0 0 1 1 0 1 0 0)₂ = 52 (magnitude in decimal)

But we remember MSB was 1 so answer is -52.

<u>EXAMPLE 3</u>

  (1 0 1 1 0 1 1 1)₂

  (0 1 00 1 000)₂

<u>+                      1  </u>

  (01 00 1 00 1‬)₂ = 73 (magnitude in decimal)

But we remember MSB was 1 so answer is -73.

You might be interested in
Which would be the most appropriate way to estimate -6.1(0.22)? Check all that apply.
Sergeu [11.5K]

Answer:

A.Use rounding to get -6(0.2), and then multiply. and D. use front end estimation to get -6(0.2), and multiply. and B.

Explanation:

just took the test

7 0
3 years ago
Read 2 more answers
Type size in a textbook may be used to indicate the relative importance of ideas.
Alborosie
Yes true 

hey is this one of your questions on a science packet if so it is called explore ring Earth's surface because I have the same packet with the same question on it
3 0
3 years ago
Read 2 more answers
A computer game that can be purchased online and played right away has good _____ utility.
ratelena [41]
D. Time

It’s easy to access any time even after it was just purchased.

I hope this helped
6 0
3 years ago
Use the Wrap Text icon to _____. modify which graphic appears in the front of layered images modify the picture effects change t
sergey [27]

I believe it's change the way text is wrapped around an object.

3 0
3 years ago
Read 2 more answers
Why would advertising be more important in a magazine publishing than it is in a newspaper?
Bond [772]
Newspapers are irrelevant now, magazines will get you much more viewers.
3 0
3 years ago
Read 2 more answers
Other questions:
  • In addition to talking to other doctors remotely, telegraphy technology?
    5·1 answer
  • Why is it important to not get distracted while driving?
    13·2 answers
  • Who were called “freedmen” during the reconstruction period?
    15·2 answers
  • Write a loop that reads strings from standard input where the string is either "land", "air", or "water". The loop terminates wh
    14·1 answer
  • Type the correct answer in the box. In which phishing technique are URLs of the spoofed organization misspelled? _____ is a phis
    11·1 answer
  • sparse(compact) Description: A sparse matrix is a 2D matrix that has many zeros. Assume that for storage efficiency someone has
    9·1 answer
  • Multiple Choice
    8·1 answer
  • C++
    14·1 answer
  • MODERATOR DELETE MY ACC
    8·2 answers
  • What were the names of Henry VIII's six wives?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!