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 9?

Options :

Answer : C

Explanation

Thus (9)₁₀ = (1001), = Δ**Δ

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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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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 represent 81?

Options :

Answer : B

Explanation

∴ (81)₁₀ = (1010001)₂ = ## • ####

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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 × 2² + 1 × 2¹ + 1 × 2⁰ = 4 + 2 = 6

))))% ⇒ 11110 ⇒ 1 × 2⁴ + 1 × 2³ + 1 × 2² + 1 × 2¹ + 1 × 2⁰ = 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 will represent 11?

Options :

Answer : A

Explanation

So (11)₁₀ = (1011)₂ = (-((

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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*Δ represents which of the following numbers?

Options :

Answer : D

Explanation

*	*	Δ	Δ	*	Δ
32	16	8	4	2	1

Now since Δ is the code for 0. Therefore, ignore all the values depicted below Δ. Thus **Δ Δ*Δ = 32 + 16 + 2 = 50

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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 :

Answer : D

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 :

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 will represent 12?

Options :

Answer : C

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 no will be represented by *^^^*

Options :