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katrin [286]
2 years ago
11

What is the largest decimal value you can represent, using a 86-bit signed integer?

Computers and Technology
1 answer:
Nataly [62]2 years ago
4 0

Answer:

2^{85}-1

Explanation:

Considering the number are stored using binary notations.

If there are total 86 bits and 1 bit is used as sign bit. Then in total one can have 2^{85} bit combinations since a bit can be either stored as 0 or as 1.

Therefore,  the largest number that can be stored will be 2^{85}-1.

To understand it in better way let's scale down the problem to 3 bits representation. The largest number that can be stored using 3 bits is 111 which in decimal form is 7 and is equal to 2^{3}-1.

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class Artist():

   def __init__(self, artist_name=None, artist_birth_year=0, artist_death_year=0):

       self.artist_name = artist_name

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   def display_artist(self):

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           print('{}, born {}'.format(self.artist_name, self.artist_birth_year))

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class Artwork():

   def __init__(self, artwork_title=None, artwork_year_created=0, artist=Artist()):

       self.artwork_title = artwork_title

       self.artwork_year_created = artwork_year_created

       self.artist = artist

   def display_artist(self):

       print('artwork_title: {}'.format(self.artwork_title))

       print('Artist: ', end='')

       self.artist.display_artist()

def main():

   user_artist_name = input('Enter the name of artist: ')

   user_birth_year = int(input('Enter birth year: '))

   user_death_year = int(input('Enter death year: '))

   user_title = input('Enter master piece title: ')

   user_year_created = int(input('Enter year created: '))

   user_artist = Artist(user_artist_name, user_birth_year, user_death_year)

   new_artwork = Artwork(user_title, user_year_created, user_artist)

   new_artwork.display_artist()

if __name__ == "__main__":

   main()

Explanation:  

  • Inside the constructor of Artist class, initialize the essential properties.
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  • Apply the similar steps as above for the Artwork class.
  • Inside the main method, get the information from user and finally call the display_artist function to print the results on screen.
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