# 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 \$. 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 the value of 4 x 3 + 2?

Options :

A - \$\$@\$

B - \$@\$@

C - \$@@\$

D - \$\$\$@

E - None of these

### Explanation

4 × 3 + 2 = 14 1110 = \$\$\$@

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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 :

A - Δ*****Δ

B - Δ ΔΔ**Δ*

C - Δ*Δ**Δ*

D - Δ Δ***Δ*

E - None of these

### 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 :

A - 52

B - 75

C - 74

D - 71

E - None of these

### 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 - 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 numbers will be represented by ++!+?

Options :

A - 8

B - 11

C - 13

D - 12

E - None of these

### Explanation

++!+ = (1101)2

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

1101 =

∴ 1 x 22 + 1 x 22 + 0 x 21 + 1 x 20

= 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 :

A - 18

B - 15

C - 17

D - 16

E - None of these

### 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 32?

Options :

A - Δ**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

(32)10 = (100000)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

### Explanation

The number is \$--\$ = (1001)2 = (9)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 12?

Options :

A - *+*+

B - ****

C - **++

D - +*+*

### Explanation

After dividing 12 with 2, we can get remainders as 1100 which means the answer 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 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 - 22

B - 11

C - 18

D - 9 