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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.

Go through the following information and answer the question carefully.

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 will represent 21?

Options :

(21)_{10} = (10101)_{2} or,$@$@$

Go through the following information and answer the question carefully.

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 :

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

(17)_{10} = (10001)_{2} ⇒(= >>=)

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 represent 81?

Options :

∴ (81)_{10} = (1010001)_{2} = ## • ####

Go through the following information and answer carefully.

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 :

##@ ⇒ 110 ⇒ 1 x 2^{2} + 1 x 2^{1} + 0 x 2^{0} = 4 + 2 = 6

## ⇒ 11 ⇒ 1 x 2^{1} + 1 x 2^{0} = 2 + 1 = 3

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

))% = 110 = 1 x 2^{2} + 1 x 2^{1} + 1 x 2^{0} = 4 + 2 = 6

)) = 11 = 1 x 2^{1} + 1 x 2^{0} = 2 + 1 = 3

6 ÷ 3 = 2

Binary equivalent of 2 is )%

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 numbers will be represented by ++!+?

Options :

++!+ = (1101)_{2}

To convert binary number into decimal number start counting from the right, start with zero (0). Now

1101 =

∴ 1 x 2^{2} + 1 x 2^{2} + 0 x 2^{1} + 1 x 2^{0}

= 8 + 4 + 0 + 1 = (13)_{10}

Go through the following question and answer accordingly.

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 :

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 23?

Options :

The decimal to binary conversions will be

(23)_{10} = (10111)_{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 :

The number is $--$ = (1001)_{2} = (9)_{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 12?

Options :

After dividing 12 with 2, we can get remainders as 1100 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 numbers will be represented by #!#!#!

Options :

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

reasoning_coded_binary_numbers.htm

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