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 (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 numbers will be represented by = > = >> = =?

Options :

A - 82

B - 80

C - 81

D - 83

E - None of these

Answer : D

Explanation

=>=>>== = 1010011

= 1 x 26 + 0 x 25 + 1 x 24 + 0 x 23 + 0 x 22 + 1 x 21 + 1 x 20

= 64 + 0 + 16 + 0 + 0 + 2 + 1 = 83

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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 will represent 39?

Options :

A - }<<}}}

B - <}}<}}

C - }}}<<}

D - }<<<}}

E - None of these

Answer : D

Explanation

Coded Binary Quiz 27

= 100111 = }<<}}}

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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

Answer : C

Explanation

Coded Binary Quiz 36

∴ (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 will represent the value of the product 3 x 3 + 1 ?

Options :

A - ++!+

B - +!+!

C - +!!++

D - +++

E - None of these

Answer : B

Explanation

3 x 3 + 1 = 10

(10)10 = (1010)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 6 - Which of the following numbers will be represented by **+**?

Options :

A - 27

B - 26

C - 28

D - 29

Answer : A

Explanation

The number is **+** = (11011)2 = (27)10

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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 21?

Options :

A - Δ*Δ*Δ

B - Δ*Δ Δ Δ

C - Δ*****

D - Δ Δ**Δ

E - None of these

Answer : A

Explanation

The decimal to binary conversions will be (21)10 = (10101)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 - 30

C - 102

D - 101

Answer : C

Explanation

The number is $$--$$- = (1100110)2 = (102)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 will represent 2 x 2 x 2 + 3 x 3 + 2 x 3?

Options :

A - ^***^

B - *^***

C - *****

D - ^^^^^

Answer : B

Explanation

The value of the given equation is 23. After dividing 23 with 2, we can get remainders as 10111 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 will represent 2 x 2 x 2 + 3 x 3 + 2 x 3 + 3?

Options :

A - ##!##

B - #!#!#

C - !#!#!

D - #!!##

Answer : B

Explanation

The value is 26. After dividing 26 with 2, we can get remainders as 11010 which means the answer is ##!#!.


reasoning_coded_binary_numbers.htm

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