In a certain code, the symbol for 0 (zero) is * and that for 1 is `Delta`. 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 givnen 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 *
'1' is written as `Delta`
'2' is written as `Delta "*"`
'3' is written as `Delta Delta`
'4' is written as `Delta` ** and so on.
Which of the following will represent `13 xx 8 div 2 + 3` ?

Options

A. `Delta Delta "*" Delta Delta Delta`
B. `Delta Delta"**" Delta Delta Delta`
C. `Delta Delta Delta "**" Delta Delta`
D. `Delta Delta Delta "**" Delta`

Answer

B

Explanation

`13 xx 8 div 2 + 3 = 13 xx 4 + 3 = 55`. To convert 55 into binary we divide successively by 2.
`{:(55,1),(27,1),(13,1),(6,0),(3,1),(1,):}`
`therefore 55 = 11011 = Delta Delta "*" Delta Delta Delta`