# 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 will represent 17?

Options :

### Answer : C

### Explanation

(17)_{10} = (10001)_{2} or,$@@@$

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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 numbers will be represented by = > > > = = = >

Options :

### Answer : E

### Explanation

1 0 0 0 1 1 1 0

= 1 x 2^{7} + 1 x 2^{3} + 1 x 2^{2} + 1 x 2^{1} + 0

= 128 + 8 + 4 + 2 + 0 = 142

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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 :

### Answer : A

### 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 - The HCF of ))%%) and )))) is

Options :

### Answer : C

### Explanation

))%%) = 11001

1 x 2^{4} + 1 x 2^{3} + 0 x 2^{2} + 0 x 2^{1} + 1 x 2^{0}

= 16 + 8 + 1 = 25

)))) ⇒ 1111 ⇒ 2^{3} + 2^{2} + 2^{1} + 2^{0}

= 8 + 4 + 2 + 1 = 15

HCF of 25 and 15 = 5

Thus (5)_{10} = (101)_{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 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 :

### Answer : C

### Explanation

((-( = (1101)_{2}

To convert binary number into decimal number start counting from the right, start with zero (0).

Now,

1101

∴ 1 x 2^{3} + 1 x 2^{2} + 0 x 2^{1} + 1 x 2^{0}

= 8 + 4 + 0 + 1 = (13)_{10}

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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** 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.

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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 :

### Answer : A

### 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 :

### Answer : B

### Explanation

The number is -$$- = (0110)_{2} = (6)_{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 28?

Options :

### Answer : 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 22?

Options :

### Answer : D

### Explanation

After dividing 22 with 2, we can get remainders as 10110 which means the answer is #!##!.