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In a certain code, the symbol for 0 (zer...

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 is represented by `Delta Delta "**" Delta` ?

A

25

B

23

C

22

D

18

Text Solution

Verified by Experts

The correct Answer is:
A

`{:(1,1,0,0,1),(16,8,4,2,1):}`
Adding the numbers below the 1s only, we get 16 + 8 + 1 = 25.
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