Coded Binary Numbers Online Quiz


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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.

Questions and Answers

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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 :

A - 18

B - 17

C - 23

D - 27

E - None of these

Answer : D

Explanation

$$@$$ = 11011

= 1 x 24 + 1 x 23 + 0 x 22 + 1 x 21 + 0 x 20

= 16 + 8 + 0 + 2 + 1 = 27

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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 codes will represent the sum of Δ *Δ *Δ +Δ ***Δ *+Δ Δ Δ ***?

Options :

A - Δ *Δ *Δ *Δ

B - Δ Δ **Δ Δ Δ

C - Δ Δ *Δ Δ *Δ

D - Δ Δ *Δ Δ Δ Δ

E - None of these

Answer : D

Explanation

Put 1,2,4,8,16 and so on below each symbol starting from the right end of the symbol arrangement, we get,

Δ * Δ * Δ
16 8 4 2 1

= 16 + 4 + 1 = 21

Reject the value below *, since * = 0

Δ * * * Δ *
32 16 8 4 2 1

= 32 + 2 = 34

Δ Δ Δ * * *
32 16 8 4 2 1

= 32 + 16 + 8 = 56

Hence, total sum = 21 + 34 + 56 = 111

Now,

Coded Binary Quiz 16

Hence, 111 will be coded as 1101111

which equals Δ Δ*Δ Δ Δ Δ [∵ 0 is depicted as * and 1 is depicted as 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 be represented by #••#••#••?

Options :

A - 292

B - 324

C - 264

D - 296

E - None of these

Answer : A

Explanation

# # #
256 128 64 32 16 8 4 2 1

Now add the numbers below the symbol # only. (Because • represents 0). Hence 256 + 32 + 4 = 292.

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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 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 4 - Which of the following will represent 68?

Options :

A - Δ Δ))Δ))

B - Δ Δ Δ)Δ))

C - Δ)))Δ))

D - Δ))Δ Δ))

E - None of these

Answer : C

Explanation

Coded Binary Quiz 31

(68)10 = (1000100)2 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 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 :

A - ((--

B - –((-

C - ((--

D - –((

E - None of these

Answer : E

Explanation

(8)10 = (1000)2 = (---

Go through the following question and answer accordingly.

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 - Which of the following represents the number 24?

Options :

A - *Δ Δ*Δ

B - **Δ Δ Δ

C - ***Δ Δ

D - *Δ Δ**

E - None of these

Answer : B

Explanation

Coded Binary Quiz 54

(24)10 = (11000)2 = **Δ Δ Δ

Go through the following information and answer the question accordingly.

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 :

A - Δ**Δ*Δ

B - *Δ Δ*Δ

C - Δ*****

D - Δ Δ**Δ

E - None of these

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 will represent 7 x (l + 4 ÷ 2)?

Options :

A - +Δ+Δ+

B - ++Δ+Δ

C - +Δ Δ++

D - +Δ Δ+Δ

E - None of these

Answer : A

Explanation

7 x (1 + 4 ÷ 2) = 7 x (1 + 2) = 7 x 3 = 21

Coded Binary Quiz 7

(21)10 = (10101)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 12?

Options :

A - *+*+

B - ****

C - **++

D - +*+*

Answer : C

Explanation

After dividing 12 with 2, we can get remainders as 1100 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 no will be represented by *^^^*

Options :

A - 22

B - 21

C - 17

D - 29

Answer : C

Explanation

*^^^* can be represented as 10001 it means 16 + 1 = 17.

reasoning_coded_binary_numbers.htm
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