Study the following information and answer the questions given below.
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 symbol for 1, doubles itself every time it shifts
one place to the left. Study the following example:
‘O' is written as @ '1' is written as $
2' is written as $@ '3' is written as $$
'4' is written as $@@ and so on.
3. Which of the following will represent 11?
(1) $@$$
(2) @$$@
(3) $$@@
(4) $@$@@
(5) None of these
Answers
Answer:
$@$$
Step-by-step explanation:
It is just binary conversion of a number.
binary forms( 4 digits):
0 => 0000 (@@@@)
1 => 0001 (@@@$)
2 => 0010 (@@$@)
3 => 0011 (@@$$)
and so on...
The binary form of 11 => 1011 ($@$$)
Given :
0 is written as @
1 is written as $
2 is written as $@
3 is written as $$
4 is written as $@@
To Find : write 11 in the same procedure
Solution:
Only @ and $ are used
so basically this is a binary system
Binary Replace 0 with @ and 1 with $
0 0 @
1 1 $
2 10 $@
3 11 $$
4 100 $@@
5 101 $@$
6 110 $$@
7 111 $$$
8 1000 $@@@
9 1001 $@@$
10 1010 $@$@
11 1011 $@$$
Hence 11 is written as $@$$
option 1 is correct
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