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.

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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 $6\frac{2}{4}+5\frac{1}{3}+4\frac{4}{15}$?

Options :

Answer : E

Explanation

$6\frac{2}{4}+5\frac{1}{3}+4\frac{4}{15} \: = \: \left (6+5+4 \right )+\left ( \frac{2}{5} + \frac{1}{3} + \frac{4}{15} \right )$

$\left (15 \right )+\left ( \frac{6+5+4}{15} \right )= 15+\frac{15}{15}$

$15 + 1 = 16$

(16)₁₀ = (10000)₂ = Δ^****

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

Options :

Answer : A

Explanation

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

Δ	Δ	*	*	*	Δ	*
64	32	16	8	4	2	1

Now since * stands for 0, therefore reject all the values depicted below the *’s. Thus reject 16, 8, 4 and 2. Now, add the remaining values under each Δ. Hence the required value of Δ Δ***Δ* = 64 + 32 = 2 = 98.

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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 numbers will be represented by ###•#?

Options :

Answer : D

Explanation

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

#	#	#	•	#
16	8	4	2	1

Now since • stands for 0, therefore, reject all the values written below the •’s. Thus reject 2. Now, add the remaining values under each #. Hence, the required value of ###•# is 16 + 8 + 4 + 1 = 29.

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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 :

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 the value of the product 3 x 3 + 1?

Options :

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 :

Answer : B

Explanation

The number is ****+ = (11110)₂ = (30)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 19?

Options :

Answer : A

Explanation

The decimal to binary conversions will be

(19)₁₀ = (10011)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 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+Δ represents which of the following numbers?

Options :

Answer : D

Explanation

+	+	Δ	Δ	+	Δ
32	16	8	4	2	1

Now since Δ is the code for 0. Therefore, ignore all the values written below Δ. Thus ++Δ Δ+Δ = 32 + 16 + 2 = 50

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 :

Answer : D

Explanation

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

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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 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 :