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 - 22

B - 33

C - 19

D - 17

E - None of these

Answer : D

Explanation

$$@@$$ = 10 011

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

= 16 + 0 + 0 + 2 + 1 = 19

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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 :

A - Δ*****Δ

B - Δ ΔΔ**Δ*

C - Δ*Δ**Δ*

D - Δ Δ***Δ*

E - None of these

Answer : C

Explanation

Coded Binary Quiz 17

Hence, code for 82 will be 1010010, ie

Δ*Δ**Δ*

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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 numbers will be represented by }<<}<}}?

Options :

A - 52

B - 75

C - 74

D - 71

E - None of these

Answer : B

Explanation

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

} < < } < } }
64 32 16 8 4 2 1

Now, since < is the code for 0. Therefore, ignore all the values written below <. Thus } << } < } } = 64 + 8 + 2 + 1 = 75

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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 - Suppose ))% is divided by )). The result will be expressed as

Options :

A - %%

B - )%

C - %)

D - ))

E - None of these

Answer : B

Explanation

##@ ⇒ 110 ⇒ 1 x 22 + 1 x 21 + 0 x 20 = 4 + 2 = 6

## ⇒ 11 ⇒ 1 x 21 + 1 x 20 = 2 + 1 = 3

$\frac{\#\#@}{\#\#} \:= \:\frac{6}{3} \:= \:2$ , 2 ⇒ #@

))% = 110 = 1 x 22 + 1 x 21 + 1 x 20 = 4 + 2 = 6

)) = 11 = 1 x 21 + 1 x 20 = 2 + 1 = 3

6 ÷ 3 = 2

Binary equivalent of 2 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 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 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 18?

Options :

A - 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

(18)10 = (10010)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 :

A - 4

B - 5

C - 8

D - 3

Answer : D

Explanation

The number is --$$ = (0011)2 = (3)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 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.

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 22?

Options :

A - ##!##

B - #!#!#

C - !#!#!

D - #!##!

Answer : D

Explanation

After dividing 22 with 2, we can get remainders as 10110 which means the answer is #!##!.


reasoning_coded_binary_numbers.htm

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