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Assignment from Number System Chapter

September 09, 2019

These are the most probable questions from the chapter Number System that would be asked in board exam. So, try and solve them in your own answers. You may take help of your reference books from your library, from internet or consult with your friends.
  1. Convert (333)10 into hexadecimal (i.e. base 16) and back into binary (i.e. base 2)
  2. Write down the rules of binary mathematics for binary addition, subtraction, multiplication and division.
  3. What do you mean by number system? Why do we use binary number system on computer?
  4.  What are the different number systems? Explain them with their base value.
  5. Why dd we use complement method for subtracting binary numbers?
  6.  Write the difference between Decimal, Binary, octal and Hexadecimal number system.
  7. What does it mean by base and radix? What are the base and radix or base of decimal, binary, octal and hexadecimal number system.
  8. Convert the following:
Convert (640)10 into base 16.
Convert (765)10 into base 8.
Convert (11010011)2 into base 16.
Convert (ABC)16 into base 2.
Convert (643)8 into base 2.
Convert (640)10 into base 16.
Convert (347)8 into base 10.
Convert (834)10 into base 2.
Convert (333)8 into base 16.
Convert (101001)2 into base 8.
Convert (7B3)16 into base 8.
Convert (3AC)16 into base 10.
Convert (11011110)2 into base 10.
Convert (64.565)10 into base 2.
Convert (642.55)10 into base 8.
Convert (255.63)10 into base 16.
Convert (257.7)8 into base 16.
Convert (1101.1110)2 into base 10.

         9.Perform the following operations:
a)      (111)2 + (1101)2
b)     (1101)2 - (1011)2 (using 1’s and 2’s complement)
c)      (01101)2 – (10110)2 (using 1’s and 2’s complement)
d)     Multiply (11010)2 by (101)2
e)      Divide (10110)2 by (110)2
f)       (256)10 – (123)10 (using 9’s and 10’s complement)
g)     (123)10 - (25)10 (using 9’s and 10’s complement)

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