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04 - Decimal to Binary

 1. Look at the question below and select the correct answer (a binary number) from the given options.
Binary3_00010101.png

  10101010

  11111111

  00010110

  00000000

 2. Converting a Decimal number into Binary just requires simple mathematics. You need to find the corresponding numbers that would add up to the Decimal number. Look at the following example. Is it True(Correct) or False?
decimaltobinary_demo.png

  False

  True

 3. What is 8 (decimal number) in Binary, represented in 4 bits.
Represent the number 8 in Binary

8  4   2   1
_____________
?  ?   ?   ?

  0100

  0000

  1111

  1000

 4. Represent the number 6 in Binary (in four bits)
Represent the number 6 in Binary

8  4   2   1
_____________
?  ?   ?   ?

  1001

  1011

  0001

  0110

 5. Represent the number 0 (in Decimal) in Binary (in four bits)
Represent the number 0 in Binary

8  4   2   1
_____________
?  ?   ?   ?

  Answer: 1111

  Answer: 1000

  Answer: This cannot be done

  Answer: 0000

 6. Represent the number 33 in Binary using eight bits
Represent the number 33 in Binary

   128  64   32  16  8  4   2   1
   _______________________________
    ?    ?    ?   ?  ?  ?   ?   ?

  00100001

  10101010

  11001100

  11000000

 7. Represent the number 129 in Binary
Represent the number 129 in Binary

   128  64   32  16  8  4   2   1
   _______________________________
    ?    ?    ?   ?  ?  ?   ?   ?

  000000001

  10000001

  100000111

  111111111

 8. How would you represent the number 2 billion in binary using eight bits?

  The answer would be: 11110000

  It cannot be done in just eight bits

  02billion

  The answer would be 11111111

 9. Convert 133 (Decimal) into a Binary number.

  11121221

  10001110

  10000101

  11111001

 10. How would you represent 1 (Decimal) in Binary in just 1 bit?

  1 in Binary using just 1 bit would be A

  This cannot be done

  1 in Binary using just 1 bit would just be 1

  1 in Binary using just 1 bit would be 0