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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

  00000000

  00010110

  11111111

 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
_____________
?  ?   ?   ?

  1111

  1000

  0100

  0000

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

8  4   2   1
_____________
?  ?   ?   ?

  0110

  1011

  1001

  0001

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

8  4   2   1
_____________
?  ?   ?   ?

  Answer: 1000

  Answer: This cannot be done

  Answer: 0000

  Answer: 1111

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

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

  11001100

  11000000

  00100001

  10101010

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

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

  100000111

  000000001

  10000001

  111111111

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

  It cannot be done in just eight bits

  02billion

  The answer would be: 11110000

  The answer would be 11111111

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

  11121221

  10001110

  11111001

  10000101

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

  1 in Binary using just 1 bit would be A

  1 in Binary using just 1 bit would be 0

  1 in Binary using just 1 bit would just be 1

  This cannot be done