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03 - Binary to Decimal

 1. Have a look at the worked example that converts a Binary number into Decimal. Is it True(Correct) or False(Incorrect)
bintodec_1.png

  TRUE

  FALSE

 2. Convert the following Binary number into Decimal.
Binary Number: 0 0 0 0 1 0 0 1

128    64    32   16   8   4   2   1
 0      0    0    0    1   0   0   1
 
 =     ?

  9

  5

  6

  3

 3. Convert the given Binary number into Decimal.
Binary Number: 0 0 0 0 0 0 0 1

128    64    32   16   8   4   2   1
 0      0    0    0    0   0   0   1
 
 =     ?

  1

  0

  100000

  100

 4. Convert the given Binary number into Decimal.
Binary Number: 0 0 0 0 1 1 1 1

128    64    32   16   8   4   2   1
 0      0    0    0    1   1   1   1
 
 =     ?

  12

  2

  15

  100

 5. Convert the following Binary number into Decimal.
Binary Number: 3 0 0 2 1 0 0 1

128    64    32   16   8   4   2   1
 3      0    0    2    1   0   0   1
 
 =     ?

  168

  6

  This is not a binary number so it cannot be done.

  100001

 6. 1000000000 is a Binary number. Can you use your knowledge of conversion of Binary to Decimal to suggest the answer - what is it in Decimal?

  888

  512

  256

  This is not a binary number as they only go up to 8 bits

 7. Look at the following example showing the conversion from Binary to Decimal. Is it True(Correct) or False(Incorrect)?
true_false_binary_q.png

  TRUE

  FALSE

 8. What is the largest number that can be represented (in Decimal) using just 8 binary bits. For example: 11111111

  There is no limit - a million or billion can be represented using 8 bits

  8 bits can only represent 8

  255, because 128 + 64 + 32 + 16 + 8 + 4 + 2 + 1 = 255

  8 bits can represent 8 x 2 which is 16

 9. Convert the following Binary number into Decimal (note that Decimal is sometimes referred to as Denary)
Binary Number: 1 0 0 0 0 0 0 0

128    64    32   16   8   4   2   1
 1      0    0    0    0   0   0   0
 
 =     ?

  0

  16

  128

  2

 10. In the following table the binary answers are given in _______ bits.
3bits1.gif

  4

  3

  2

  5