Solution Practice 1 -- Base Conversions

  1. Convert the following number from the base given to decimal:
    101101		(binary)				_______45__________
    
    
  2. Convert the following number from the base given to decimal:
    2357		(octal)					_______1263________
    
    
  3. Convert the following number from the base given to decimal:
    20413		(base-5)				_______1358________
    
    
  4. Convert the following number from the base given to decimal:
    34ABE		(hexadecimal)				_______215742______
    
    
  5. Convert the decimal number below to the base given:
    5		(convert to base-7)			_______5___________
    	
    
  6. Convert the decimal number below to the base given:
    1057		(convert to octal)			_______2041________
    	
    
  7. Convert the decimal number below to the base given:
    3225		(convert to hexadecimal)		_______C99_________
    	
    
  8. Convert the decimal number below to the base given:
    327		(convert to binary)			_______101000111___
    	
    
  9. Convert the following real number from the base given to decimal:
    0.73		(octal)					_______59/64_______
    
    
  10. Convert the following real number from the base given to decimal:
    130.43		(base-6)				_______54_27/36_____
    
    
  11. Convert the following real number from the base given to decimal:
    0.CAD		(hexadecimal)				_______3245/4096___
    
    
  12. Convert the following real number from decimal to the base given:
    0.75		(convert to octal)			_______0.6_________
    
    
  13. Convert the following real number from decimal to the base given:
    0.84375		(convert to binary)			_______0.11011_____
    
    
  14. Convert the following real number from decimal to the base given:
                                                                      _
    0.65		(convert to base-5)			_______0.31________
    
    
    
  15. Do the following addition problems in the base indicated:
     1101010011 (binary)     52453 (base-6)       37675 (octal)      AD3E (hex)
     +110001111             +45524               +67545             +2FE9
    -----------             ------               ------             -----
    100lll000l0             142421               127442              DD27
    
    
  16. Do the following subtraction problems in the base indicated:
    2102100 (base-3)      2102500 (octal)       100001 (binary)    20314 (hex)
    -212202               - 76754               -11111             -EFDC
    -------               -------               ------             -----
    1112121               2003524                   10             11338