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Coded Binary Numbers Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to Coded Binary Numbers. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
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In a certain code, the symbol for 0 (zero) is @ and for 1 is $. There is no symbol for rest of the numbers. Numbers greater than 1 are needed to be depicted using the two given symbols. Left shifting of 1 doubles its value each time. Study the following example.
'0' is depicted as @
'1' is depicted as $
'2' is depicted as $@
'3' is depicted as $$
'4' is depicted as $@@ and so on.
Q 1 - Which of the following numbers will be represented by $@@$$?
Options :
Answer : D
Explanation
$$@@$$ = 10 011
= 1 x 24 + 0 x 23 + 0 x 22 + 1 x 21 + 0 x 20
= 16 + 0 + 0 + 2 + 1 = 19
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In a certain code, the symbol for 0 is * and for 1 is Δ. There is no symbol for rest of the numbers. Numbers greater than 1 are needed to be depicted using the two given symbols. Left shifting of 1 doubles its value each time. Study the following example.
'0' is depicted as *
'1'is depicted as Δ
'2' is depicted as Δ*
'3' is depicted as ΔΔ
'4' is depicted as Δ** and so on
Q 2 - Which of the following numbers will be represented by Δ Δ***Δ*?
Options :
Answer : A
Explanation
Put 1,2,4,8 and so on below each symbol starting from the right end the symbol arrangement we get −
Δ | Δ | * | * | * | Δ | * |
64 | 32 | 16 | 8 | 4 | 2 | 1 |
Now since * stands for 0, therefore reject all the values depicted below the *’s. Thus reject 16, 8, 4 and 2. Now, add the remaining values under each Δ. Hence the required value of Δ Δ***Δ* = 64 + 32 = 2 = 98.
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Symbols for 0 is < and for 1 is }. There is no symbol for rest of the numbers. Numbers greater than 1 are needed to be depicted using the two given symbols. Left shifting of 1 doubles its value each time. Study the following example.
'0' is written as <
'1' is written as }
'2' is written as }<
'3' is written as }}
'4' is written as }<< and so on.
Q 3 - Which of the following will represent 100?
Options :
Answer : D
Explanation
= 1100100 = }}<<}<<
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In a certain code, the symbol for 0 is ) and for 1 is Δ. There is no symbol for rest of the numbers. Numbers greater than 1 are needed to be depicted using the two given symbols. Left shifting of 1 doubles its value each time. Study the following example.
0 is written as )
1 is written as Δ
2 is written as Δ)
3 is written as Δ Δ
4 is written as Δ) ) and so on.
Q 4 - Ram does a work in fifteen days. Shyam does the same work in twelve days. Ram left the work after working for five days. Then Shyam took over. Shyam will finish the rest of the work in X days. X will be represented by
Options :
Answer : A
Explanation
In 1 day Ram does $\frac{1}{15}$ work
$\therefore$ In 5 days Ram does $\frac{1}{3}$ work
$\therefore$ Work left for Shyam = $\left ( 1 - \frac{1}{3} \right ) = \frac{2}{3}$
$\because$ Shyam does one work in 12 days
$\therefore$ Shyam does $\frac{2}{3}$ work in $\frac{12 x 2}{3}$ = 8 days
Now,
(8)10 (1000)2 = Δ***
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In a certain code, the symbol for 0 is ! and for 1 is +. There is no symbol for rest of the numbers. Numbers greater than 1 are needed to be depicted using the two given symbols. Left shifting of 1 doubles its value each time. Study the following example.
'0' is depicted as !
'1' is depicted as +
'2' is depicted as +!
'3' is depicted as ++
'4' is depicted as +!! and so on
Q 5 - Which of the following will represent 11?
Options :
Answer : A
Explanation
So (11)10 = (1011)2 = +!++
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In a certain code, the symbol 0 is written as + and for 1 is *. There is no symbol for rest of the numbers. Numbers greater than 1 are needed to be written using the two given symbols. Left shifting of 1 doubles its value each time. Study the following example.
0 is written as +
1 is written as *
2 is written as *+
3 is written as **
4 is written as *++
Q 6 - Which of the following numbers will be represented by ++*++?
Options :
Answer : A
Explanation
The number is ++*++ = (00100)2 = (4)10
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In a certain code, the symbol for 0 is * and for 1 is Δ . There is no symbol for rest of the numbers. Numbers greater than 1 are needed to be written using the two given symbols. Left shifting of 1 doubles its value each time. Study the following example.
0 is written as *
1 is written as Δ
2 is written as Δ*
3 is written as Δ Δ
4 is written as Δ** and so on.
Q 7 - Which of the following will represent 11?
Options :
Answer : E
Explanation
The decimal to binary conversions will be
(11)10 = (10010)2
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In a certain code, the symbol 0 is written as - and for 1 is $. There is no symbol for rest of the numbers. Numbers greater than 1 are needed to be written using the two given symbols. Left shifting of 1 doubles its value each time. Study the following example.
0 is written as -
1 is written as $
2 is written as $-
3 is written as $$
4 is written as $--
Q 8 - Which of the following numbers will be represented by --$$?
Options :
Answer : D
Explanation
The number is --$$ = (0011)2 = (3)10
Try to solve the questions by deep analyzing the given information.
In a certain code, the symbol for 0 is + and for 1 is *. There is no symbol for rest of the numbers. Numbers greater than 1 are needed to be written using the two given symbols. Left shifting of 1 doubles its value each time. Study the following example.
0 is written as +
'1' is written as *
2 is written as *+
3 is written as **
4 is written as *++ and so on
Q 9 - Which of the following no will be represented by *+*+*
Options :
Answer : B
Explanation
*+*+*can be represented as 10101 it means 16 + 0 + 4 + 0 + 1 = 21.
Try to solve the questions by deep analyzing the given information.
In a certain code, the symbol for 0 is ! and for 1 is #. There is no symbol for rest of the numbers. Numbers greater than 1 are needed to be written using the two given symbols. Left shifting of 1 doubles its value each time. Study the following example.
0 is written as !
1 is written as #
2 is written as #!
3 is written as ##
4 is written as #!! and so on
Q 10 - Which of the following will represent 4 + 2 x 2 x 2 + 3 x 3 + 2 x 3?
Options :
Answer : B
Explanation
The value is 27. After dividing 27 with 2, we can get remainders as 11011 which means the answer is ##!##.
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