# 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 will represent 9?

Options :

A - *Δ*Δ

B - Δ*Δ*

C - Δ**Δ

D - Δ Δ**

E - None of these

### Explanation

Thus (9)10 = (1001), = Δ**Δ

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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 :

A - 98

B - 96

C - 100

D - 198

E - None of these

### 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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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 the value of 8 + 8 ÷ 8?

Options :

A - #••#

B - #•

C - #•••

D - •#

E - None of these

### Explanation

8 + 8 ÷ 8 = 9

∴ (9)10 = (1001)2 = # •• #

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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 :

A - Δ)))

B - Δ))

C - Δ)Δ)

D - Δ))Δ

E - None of these

### 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 :

A - +!++

B - !++!

C - ++!!

D - +!+!!

E - None of these

### 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 :

A - 17

B - 16

C - 18

D - 19

### Explanation

The number is *++*+ = (10010)2 = (18)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 23?

Options :

A - Δ**Δ Δ

B - Δ*Δ Δ Δ

C - Δ**Δ Δ

D - Δ Δ**Δ

E - None of these

### Explanation

The decimal to binary conversions will be

(23)10 = (10111)2

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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 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 symbol arrangement will represent 9?

Options :

A - Δ+++

B - +Δ+Δ

C - +Δ Δ+

D - ++Δ Δ

E - None of these

### Explanation

(9)10 = (1001)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 28?

Options :

A - ^***^

B - *^***

C - *****

D - ***^^

### Explanation

After dividing 28 with 2, we can get remainders as 11100 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 will represent 32?

Options :

A - ^***^

B - *^***

C - *****

D - *^^^^^