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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 numbers will be represented by $$@$$?

Options :

$$@$$ = 11011

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

= 16 + 8 + 0 + 2 + 1 = 27

Go through the following information and answer the question carefully.

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 codes will represent the sum of Δ *Δ *Δ +Δ ***Δ *+Δ Δ Δ ***?

Options :

Put 1,2,4,8,16 and so on below each symbol starting from the right end of the symbol arrangement, we get,

Δ | * | Δ | * | Δ |

16 | 8 | 4 | 2 | 1 |

= 16 + 4 + 1 = 21

Reject the value below *, since * = 0

Δ | * | * | * | Δ | * |

32 | 16 | 8 | 4 | 2 | 1 |

= 32 + 2 = 34

Δ | Δ | Δ | * | * | * |

32 | 16 | 8 | 4 | 2 | 1 |

= 32 + 16 + 8 = 56

Hence, total sum = 21 + 34 + 56 = 111

Now,

Hence, 111 will be coded as 1101111

which equals Δ Δ*Δ Δ Δ Δ [∵ 0 is depicted as * and 1 is depicted as Δ]

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 the question carefully.

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 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 4 - Which of the following will represent 68?

Options :

(68)_{10} = (1000100)_{2} Δ*** Δ**

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 8?

Options :

(8)_{10} = (1000)_{2} = (---

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 - Which of the following represents the number 24?

Options :

(24)_{10} = (11000)_{2} = **Δ Δ Δ

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}

Try to solve the questions by deep analyzing the given information.

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 - Which of the following will represent 7 x (l + 4 ÷ 2)?

Options :

7 x (1 + 4 ÷ 2) = 7 x (1 + 2) = 7 x 3 = 21

(21)_{10} = (10101)_{2} = +Δ+Δ+

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 no will be represented by *^^^*

Options :

*^^^* can be represented as 10001 it means 16 + 1 = 17.

reasoning_coded_binary_numbers.htm

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