Coded Binary Numbers Online Quiz


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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.

Questions and Answers

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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 :

A - 18

B - 17

C - 23

D - 27

E - None of these

Answer : D

Explanation

$$@$$ = 11011

= 1 x 24 + 1 x 23 + 0 x 22 + 1 x 21 + 0 x 20

= 16 + 8 + 0 + 2 + 1 = 27

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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 will be the code for 82?

Options :

A - Δ*****Δ

B - Δ ΔΔ**Δ*

C - Δ*Δ**Δ*

D - Δ Δ***Δ*

E - None of these

Answer : C

Explanation

Coded Binary Quiz 17

Hence, code for 82 will be 1010010, ie

Δ*Δ**Δ*

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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 :

A - }<}<<}<

B - }}}<<<<

C - <<}<<}}

D - }}<<}<<

E - None of these

Answer : D

Explanation

Coded Binary Quiz 28

= 1100100 = }}<<}<<

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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 :

A - )%)%)

B - ))%)%

C - ))%%)

D - )%%))

E - None of these

Answer : C

Explanation

Coded Binary Quiz 36

∴ (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 numbers will be represented by +!!!+?

Options :

A - 22

B - 31

C - 14

D - 17

E - None of these

Answer : D

Explanation

Put 1,2,4,8 and so on below each symbol starting from the right end of symbol arrangement, we get.

+ ! ! ! +
16 8 4 2 1

Now since ! stands for 0, therefore , reject all the values depicted below the !. Thus, reject 8,4 and 2. Now, add the remaining values under each !. Hence the required value of +!!!+ is 16 + 1 = 17.

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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*Δ represents which of the following numbers?

Options :

A - 28

B - 48

C - 26

D - 50

E - None of these

Answer : D

Explanation

* * Δ Δ * Δ
32 16 8 4 2 1

Now since Δ is the code for 0. Therefore, ignore all the values depicted below Δ. Thus **Δ Δ*Δ = 32 + 16 + 2 = 50

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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 18?

Options :

A - Δ**Δ*

B - Δ*Δ Δ Δ

C - Δ*****

D - Δ Δ**Δ

E - None of these

Answer : A

Explanation

The decimal to binary conversions will be

(18)10 = (10010)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 - The symbol arrangement +Δ Δ++ represents which of the following numbers?

Options :

A - 18

B - 15

C - 17

D - 16

E - None of these

Answer : E

Explanation

Put 1,2,4, 8 and so on below each symbol starting from the right end of the symbol arrangement, We get

+ Δ Δ + +
16 8 4 2 1

Now, Since Δ stands for 0, therefore, reject all the values written 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.

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 12?

Options :

A - *+*+

B - ****

C - **++

D - +*+*

Answer : C

Explanation

After dividing 12 with 2, we can get remainders as 1100 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 :

A - 22

B - 11

C - 18

D - 9

Answer : D

Explanation

*^^*can be represented as 1001 it means 8 + 0 + 0 + 1 = 9.

reasoning_coded_binary_numbers.htm
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