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.

Questions and Answers

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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 numbers will be represented by Δ*Δ*Δ*?

Options :

A - 42

B - 40

C - 43

D - 41

E - None of these

Answer : A

Explanation

Δ*Δ*Δ* = 101010

= 1 x 25 + 0 x 24 + 1 x 23 + 0 x 22 + 1 x 21 + 0 x 20

= 32 + 0 + 8 + 0 + 2 + 0 = 42

Go through the following information and answer the question carefully.

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 represent the value of 45 + 36 ÷ 2 - 25 ÷ 5?

Options :

A - Δ***Δ**

B - Δ Δ Δ*Δ*

C - Δ Δ*Δ*Δ

D - Δ Δ*Δ Δ*

E - None of these

Answer : B

Explanation

45 + 36 ÷ 2 - 25 ÷ 5 - 45 + 18 - 5 = 45 + 13 = 58

Coded Binary Quiz 19

Go through the following information and answer the question carefully.

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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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 - How will you represent 17 in the new number system?

Options :

A - ))%%)

B - )%%%)

C - )%)%

D - )%%)

E - None of these

Answer : B

Explanation

Coded Binary Quiz 6

10001 = )%%%)

Go through following information and answer the question accordingly.

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 information and answer questions accordingly.

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 - 4

B - 5

C - 8

D - 9

Answer : A

Explanation

The number is ++*++ = (00100)2 = (4)10

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 - The symbol arrangement +Δ Δ++ represents which of the following numbers?

Options :

A - 18

B - 15

C - 17

D - 16

E - None of these

Answer : E

Explanation

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

+ Δ Δ + +
16 8 4 2 1

Now, Since Δ stands for 0, therefore, reject all the values written 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.

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 9 - 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

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 :

A - 22

B - 21

C - 42

D - 29

Answer : C

Explanation

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

reasoning_coded_binary_numbers.htm
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