# 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. Go through the following information and answer the question carefully.

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 $6\frac{2}{4}+5\frac{1}{3}+4\frac{4}{15}$?

Options :

A - ****Δ

B - Δ***Δ

C - Δ**Δ*

D - Δ**Δ

E - None of these

### Explanation

$6\frac{2}{4}+5\frac{1}{3}+4\frac{4}{15} \: = \: \left (6+5+4 \right )+\left ( \frac{2}{5} + \frac{1}{3} + \frac{4}{15} \right )$

$\left (15 \right )+\left ( \frac{6+5+4}{15} \right )= 15+\frac{15}{15}$

$15 + 1 = 16$ (16)10 = (10000)2 = 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 numbers will be represented by = > > > = = = >

Options :

A - 140

B - 141

C - 143

D - 144

E - None of these

### Explanation

1 0 0 0 1 1 1 0

= 1 x 27 + 1 x 23 + 1 x 22 + 1 x 21 + 0

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

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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 will represent the value of }}<}?

Options :

A - 17

B - 11

C - 15

D - 13

E - None of these

### Explanation

 } } < } 8 4 2 1

Since < is he code for 0, ignore the value written below <. Thus }}<} = 8 + 4 + 0 + 1 = 13

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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 - Which of the following will represent 25?

Options :

A - )%)%)

B - ))%)%

C - ))%%)

D - )%%))

E - None of these

### Explanation ∴ (25)10 = (11001)2 or, ##@@#

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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 - 30

C - 31

D - 19

### Explanation

The number is ****+ = (11110)2 = (30)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 52?

Options :

A - Δ**Δ**

B - Δ*Δ Δ Δ

C - Δ*****

D - Δ Δ*Δ**

E - None of these

### Explanation

The decimal to binary conversions will be (52)10 = (110100)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 - 7 B - 6 C - 8 D - 9 ### 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 numbers will be represented by *++*

Options :

A - 22

B - 11

C - 18

D - 9

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

Options :

A - 17

B - 11

C - 18

D - 9