# 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 the value of 3 x 3 + 2 x 2 + 1 ?

Options :

### Answer : D

### Explanation

3 x 3 + 2 x 2 + 1 = 9 + 4 + 1 = 14

Thus (14)_{10} = (1110), = Δ Δ Δ*

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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 represents 22?

Options :

### Answer : B

### Explanation

(22)_{10} = (10111)_{2} ⇒(=>>=)

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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 : E

### Explanation

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

∴ }<<}}}<} = 128 + 0 + 0 + 16 + 8 + 4 + 0 + 1 = 157

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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 - What percent of ))))% is ))%?

Options :

### Answer : E

### Explanation

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

))))% ⇒ 11110 ⇒ 1 × 2^{4} + 1 × 2^{3} + 1 × 2^{2} + 1 × 2^{1} + 1 × 2^{0} = 16 + 8 + 4 + 2 = 30

Hence, $\frac{6}{30} \times 100 \: = \: 20$

Now,

10100 =)%)%% = 20

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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^{2} + 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 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 : C

### 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 37?

Options :

### Answer : A

### Explanation

The decimal to binary conversions will be (37)_{10} = (100101)_{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 - Which of the following symbol arrangement will represent 9?

Options :

### Answer : C

### 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 2 x 2 x 2 + 3 x 3 + 2 x 3?

Options :

### Answer : B

### 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 numbers will be represented by #!#!#!

Options :

### Answer : C

### Explanation

#!#!#! can be represented as 101010 it means 32 + 0 + 8 + 0 + 2 + 0 = 42.