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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 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 Δ Δ
4 is depicted as Δ** and so on.
Q 1 - Which of the following numbers will be represented by Δ*Δ*Δ*?
Options :
Answer : A
Explanation
Δ*Δ*Δ* = 101010
= 1 x 25 + 0 x 24 + 1 x 23 + 0 x 22 + 1 x 21 + 0 x 20
= 32 + 0 + 8 + 0 + 2 + 0 = 42
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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 2 - Which of the following will represent the value of the expression 4 x 3 + 2 x 2 + 1 ?
Options :
Answer : A
Explanation
4 x 3 + 2 x 2 + 1 = 12 + 4 + 1 = 17
(17)10 = (10001)2 ⇒(= >>=)
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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 written as •
1 is written as #
2 is written as at
3 is written as ##
4 is written as #•• and so on.
Q 3 - Which of the following will represent 81?
Options :
Answer : B
Explanation
∴ (81)10 = (1010001)2 = ## • ####
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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 written as %
'1' is written as )
'2' is written as )%
'3' is written as ))
'4' is written as )%% and so on.
Q 4 - Which of the following will represent 25?
Options :
Answer : C
Explanation
∴ (25)10 = (11001)2 or, ##@@#
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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 8?
Options :
Answer : E
Explanation
(8)10 = (1000)2 = +!
Go through the following question and answer accordingly.
In a certain code, the symbol for 0 (zero) is Δ 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 depicted as Δ
'1' is depicted as *
'2' is depicted as *Δ
'3' is depicted as **
'4' is depicted as *Δ Δand so on.
Q 6 - The symbol combination *Δ Δ** represents which of the following numbers?
Options :
Answer : E
Explanation
Put 1,2,4, 8 and so on below each symbol starting from the right end of the symbol combination, We get
| * | Δ | Δ | * | * |
| 16 | 8 | 4 | 2 | 1 |
Now, Since Δ stands for 0, therefore, reject all the values depicted below Δ s. Thus reject 8 and 4. Now, add the remaining values under each *. Hence the required value of *Δ Δ** is 16 + 2 + 1 = 19.
Go through the following information and answer the question accordingly.
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 19?
Options :
Answer : A
Explanation
The decimal to binary conversions will be
(19)10 = (10011)2
Try to solve the questions by deep analyzing the given information.
In a certain code, the symbol for 0 (zero) is Δ 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 Δ
'1' is written as +
'2' is written as +Δ
'3' is written as ++
'4' is written as +Δ Δand so on.
Q 8 - Which of the following will represent 7 x (l + 4 ÷ 2)?
Options :
Answer : A
Explanation
7 x (1 + 4 ÷ 2) = 7 x (1 + 2) = 7 x 3 = 21
(21)10 = (10101)2 = +Δ+Δ+
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 will represent 2 x 2 x 2 + 3 x 3 + 2 x 3?
Options :
Answer : B
Explanation
The value of the given equation is 23. After dividing 23 with 2, we can get remainders as 10111 which means the answer is *^***.
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 numbers will be represented by #!!!#
Options :
Answer : A
Explanation
#!!!#can be represented as 10001. It means 16 + 0 + 0 + 0 + 1 = 17.