Preview

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

  False

  True

 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
 
 =     ?

  3

  5

  9

  6

 3. 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
 
 =     ?

  100

  2

  15

  12

 4. 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
 
 =     ?

  000001

  1

  100000

  0

 5. 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
 
 =     ?

  128

  2

  0

  16

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

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

  168

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

  100001

  6

 7. 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?

  512

  256

  888

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

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

  4

  5

  3

  2

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

  False

  True

 10. 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