(XI) Number System - HomeWork

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  1. What is number system?
  2. What is base or radix of number system?
  3.  List the types of number system with their bases.
  4. Define Binary number system.
  5. Define Octal number system.
  6. Define Decimal (Denary) number system.
  7. Define Hexadecimal number system.
  8. Why do digital computers use binary number system for its operations?
  9. Convert the given numbers as indicated:
    1. (209)10=(?)2
    2. (8040)10=(?)8
    3. (16004)10=(?)16
    4. (234.567)10=(?)2
    5. (789.432)10=(?)8
    6. (839.125)10=(?)16
  10. Convert the given numbers as indicated:
    1. (1010001)2=(?)10
    2. (567)8=(?)10
    3. (BAD)16=(?)10
    4. (111.0101)2=(?)10
    5. (765.432)8=(?)10
    6. (BAD.CAB)16=(?)10
  11. Convert the given numbers as indicated:
    1. (1010001011)2=(?)8
    2. (10100010111011)2=(?)16
    3. (1110110.110101)2=(?)8
    4. (111011110010.1111010111)2=(?)16
  12. Convert the given numbers as indicated:
    1. (1234)8=(?)2
    2. (CAFE)16=(?)2
    3. (567.512)8=(?)2
    4. (BCA9.CAB3)16=(?)2
  13. Convert the given numbers as indicated:
    1. (1754)8=(?)16
    2. (DAFE)16=(?)8
    3. (357.251)8=(?)16
    4. (FAB7.AB)16=(?)8
  14. Perform Binary Addition: For help click here for tutorial video
    1. 1010+1010
    2. 1111+1111
    3. 1111+1111+1111+1111
    4. 10101+11000
    5. 10100+11111
    6. 1111+1111+1111
    7. 1010+1010+1111
  15. Perform Binary Subtraction: For help click here for tutorial video
    1. 1111-101
    2. 1100-111
    3. 1000001-111111
    4. 1110001-100010
    5. 101011-11111
  16. Solve the following problems using 1's complement method.
    1. 10101-1110
    2. 1101-1110
  17. Solve the following problems using 2's complement method.
    1. 10101-1110
    2. 1101-11101