In a certain code, the symbol for 0 (zero) is `alpha` and for 1 is `beta`. There are no other symbols for all other numbers greater than one. The numbers greater than 1 are to be written only by using the two symbols given above. The value of the symbol for 1 doubles itself every time it shifts one place to the left. Study the following examples :
'0' is written as `alpha`
'1' is written as `beta`
'2' is written as `beta alpha`
'3' is written as `beta beta`
'4' is written as `beta alpha alpha` and so on.
Which of the following is the value of `beta beta beta beta beta` ?

Options

A. 15
B. 17
C. 19
D. 31

Explanation

Value of `beta beta beta beta beta or 11111` :
`{:(1,1,1,1,1),(16,8,4,2,1):}`
Adding all numbers below the 1s, we get 16 + 8 + 4 + 2 + 1 = 31.