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

In a certain code, the symbol for 0 (zero) is @ and for 1 is $. 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 @
'1' is written as $
'2' is written as $ @
'3' is written as $ $
'4' is written as $ @ @ and so on
Which of the following numbers is represented by $ $ @ @ $ $ ?

A

47

B

48

C

49

D

51

Text Solution

Verified by Experts

The correct Answer is:
D
`{:(1,1,0,0,1,1),(32,16,8,4,2,1):}`
Add the numbers below the 1s. We get : 32 + 16 + 2 + 1 = 51
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M K PANDEY-CODED BINARY NUMBERS -PRACTICE EXERCISES
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  2. In a certain code, the symbol for 0 (zero) is alpha and for 1 is beta....

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  3. In a certain code, the symbol for 0 (zero) is alpha and for 1 is beta....

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  4. In a certain code, the symbol for 0 (zero) is alpha and for 1 is beta....

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  5. In a certain code, the symbol for 0 (zero) is alpha and for 1 is beta....

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  6. In a certain code, the symbol for 0 (zero) is * and that for 1 is Delt...

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  7. In a certain code, the symbol for 0 (zero) is * and that for 1 is Delt...

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  8. In a certain code, the symbol for 0 (zero) is * and that for 1 is Delt...

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  9. In a certain code, the symbol for 0 (zero) is * and that for 1 is Delt...

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  10. In a certain code, the symbol for 0 (zero) is * and that for 1 is Delt...

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  11. In a certain code, the symbol for 0 (zero) is alpha and for 1 is beta....

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  12. In a certain code, the symbol for 0 (zero) is alpha and for 1 is beta....

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  13. In a certain code, the symbol for 0 (zero) is alpha and for 1 is beta....

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  14. In a certain code, the symbol for 0 (zero) is alpha and for 1 is beta....

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  15. In a certain code, the symbol for 0 (zero) is alpha and for 1 is beta....

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  16. In a certain code, the symbol for 0 (zero) is @ and for 1 is $. There ...

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  17. In a certain code, the symbol for 0 (zero) is @ and for 1 is $. There ...

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  18. In a certain code, the symbol for 0 (zero) is @ and for 1 is $. There ...

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  19. In a certain code, the symbol for 0 (zero) is @ and for 1 is $. There ...

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  20. In a certain code, the symbol for 0 (zero) is @ and for 1 is $. There ...

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