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 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 3 x 3 + 2 x 2 + 1 ?

Options :

A - Δ Δ Δ*Δ

B - *Δ Δ Δ Δ

C - Δ Δ Δ**

D - Δ Δ Δ*

E - None of these

Answer : D

Explanation

3 x 3 + 2 x 2 + 1 = 9 + 4 + 1 = 14

Coded Binary Quiz 2

Thus (14)10 = (1110), = Δ Δ 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 will represent the value of the expression 4 x 3 + 2 x 2 + 1 ?

Options :

A - = > > > =

B - = > > = =

C - = = >>>

D - > >> = > =

E - None of these

Answer : A

Explanation

4 x 3 + 2 x 2 + 1 = 12 + 4 + 1 = 17

Coded Binary Quiz 6

(17)10 = (10001)2 ⇒(= >>=)

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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 111?

Options :

A - ##•#####

B - ####•##

C - ##•####

D - ###•####

E - None of these

Answer : C

Explanation

Coded Binary Quiz 16

∴ (111)10 = (1101111)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 - 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 = )%%%)

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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 = +‼!

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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

Answer : E

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.

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 19?

Options :

A - Δ**Δ Δ

B - Δ*Δ*Δ

C - Δ**Δ Δ

D - Δ Δ**Δ

E - None of these

Answer : A

Explanation

The decimal to binary conversions will be

(19)10 = (10011)2

Go through the following information and answer the question 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 8 - Which of the following numbers will be represented by $--$--?

Options :

A - 17

B - 36

C - 28

D - 15

Answer : B

Explanation

The number is $--$-- = (100100)2 = (36)10

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 no will be represented by *^^^*

Options :

A - 22

B - 17

C - 28

D - 29

Answer : B

Explanation

*^^^*can be represented as 10001 it means 16 + 0 + 0 +0 + 1 = 17.

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 - 11

C - 18

D - 9

Answer : D

Explanation

*^^*can be represented as 1001 it means 8 + 0 + 0 + 1 = 9.


reasoning_coded_binary_numbers.htm

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