# 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 numbers will be represented by $@@$$?

Options :

### Answer : D

### Explanation

$$@@$$ = 10 011

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

= 16 + 0 + 0 + 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 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 :

### Answer : C

### Explanation

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 numbers will be represented by }<<}<}}?

Options :

### Answer : B

### Explanation

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

} | < | < | } | < | } | } |

64 | 32 | 16 | 8 | 4 | 2 | 1 |

Now, since < is the code for 0. Therefore, ignore all the values written below <. Thus } << } < } } = 64 + 8 + 2 + 1 = 75

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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 :

### Answer : B

### Explanation

##@ ⇒ 110 ⇒ 1 x 2^{2} + 1 x 2^{1} + 0 x 2^{0} = 4 + 2 = 6

## ⇒ 11 ⇒ 1 x 2^{1} + 1 x 2^{0} = 2 + 1 = 3

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

))% = 110 = 1 x 2^{2} + 1 x 2^{1} + 1 x 2^{0} = 4 + 2 = 6

)) = 11 = 1 x 2^{1} + 1 x 2^{0} = 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 8?

Options :

### Answer : E

### Explanation

(8)_{10} = (1000)_{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 :

### Answer : A

### Explanation

The number is **+** = (11011)_{2} = (27)_{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 18?

Options :

### Answer : A

### Explanation

The decimal to binary conversions will be

(18)_{10} = (10010)_{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 : D

### Explanation

The number is --$$ = (0011)_{2} = (3)_{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 numbers will be represented by *++*

Options :

### Answer : D

### Explanation

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

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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 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 #!##!.