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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 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 :

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

Thus (14)_{10} = (1110), = Δ Δ Δ*

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

Options :

=>=>>== = 1010011

= 1 x 2^{6} + 0 x 2^{5} + 1 x 2^{4} + 0 x 2^{3} + 0 x 2^{2} + 1 x 2^{1} + 1 x 2^{0}

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

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 be represented by #••#••#••?

Options :

# | • | • | # | • | • | # | • | • |

256 | 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |

Now add the numbers below the symbol # only. (Because • represents 0). Hence 256 + 32 + 4 = 292.

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 - What percent of ))))% is ))%?

Options :

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

))))% ⇒ 11110 ⇒ 1 × 2^{4} + 1 × 2^{3} + 1 × 2^{2} + 1 × 2^{1} + 1 × 2^{0} = 16 + 8 + 4 + 2 = 30

Hence, $\frac{6}{30} \times 100 \: = \: 20$

Now,

10100 =)%)%% = 20

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

Options :

3 x 3 + 1 = 10

(10)_{10} = (1010)_{2} = +! + !

Go through the following information and answer questions 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 6 - Which of the following numbers will be represented by *++*+?

Options :

The number is *++*+ = (10010)_{2} = (18)_{10}

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 37?

Options :

The decimal to binary conversions will be (37)_{10} = (100101)_{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 28?

Options :

After dividing 28 with 2, we can get remainders as 11100 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 22?

Options :

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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