# 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 :

A - 74

B - 75

C - 77

D - 83

E - None of these

### Explanation

Δ**Δ*Δ Δ = (1001011)2

= 1 x 26 + 0 x 25 + 0 x 24 + 1 x 23 + 0 x 22 + 1 x 21 + l x 20 = 64 + 8 + 2 + l = 75

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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 codes will give odd number as the result after being decoded?

Options :

A - Δ Δ Δ Δ Δ Δ Δ

B - Δ*****

C - Δ*Δ*Δ*Δ*

D - Δ**Δ*

E - None of these

### Explanation

Since I is depicted as Δ, the code which will end with Δ will give odd number as a result, Obviously, it is option A.

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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 be represented by #••#••#••?

Options :

A - 292

B - 324

C - 264

D - 296

E - None of these

### Explanation

 # • • # • • # • • 256 128 64 32 16 8 4 2 1

Now add the numbers below the symbol # only. (Because • represents 0). Hence 256 + 32 + 4 = 292.

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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 - Suppose ))% is divided by )). The result will be expressed as

Options :

A - %%

B - )%

C - %)

D - ))

E - None of these

### Explanation

##@ ⇒ 110 ⇒ 1 x 22 + 1 x 21 + 0 x 20 = 4 + 2 = 6

## ⇒ 11 ⇒ 1 x 21 + 1 x 20 = 2 + 1 = 3

$\frac{\#\#@}{\#\#} \:= \:\frac{6}{3} \:= \:2$ , 2 ⇒ #@

))% = 110 = 1 x 22 + 1 x 21 + 1 x 20 = 4 + 2 = 6

)) = 11 = 1 x 21 + 1 x 20 = 2 + 1 = 3

6 ÷ 3 = 2

Binary equivalent of 2 is )%

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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 the value of the product 3 x 3 + 1?

Options :

A - ((--

B - (-(-

C - (--((

D - (((

E - None of these

### Explanation

3 x 3 + 1 = 10

(10)10 = (1010)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 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 - Which of the following symbol combination 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*

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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 19?

Options :

A - Δ**Δ Δ

B - Δ*Δ*Δ

C - Δ**Δ Δ

D - Δ Δ**Δ

E - None of these

### Explanation

The decimal to binary conversions will be

(19)10 = (10011)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 :

A - 17

B - 36

C - 28

D - 15

### Explanation

The number is $--$-- = (100100)2 = (36)10

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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 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 :

A - ^***^

B - *^***

C - *****

D - ^^^^^

### 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 no will be represented by ###.

Options :

A - 2

B - 7

C - 8

D - 9