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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.

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 :

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

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 - Ram does a work in fifteen days. Shyam does the same work in twelve days. Ram left the work after working for five days. Then Shyam took over. Shyam will finish the rest of the work in X days. X will be represented by

Options :

In 1 day Ram does $\frac{1}{15}$ work

$\therefore$ In 5 days Ram does $\frac{1}{3}$ work

$\therefore$ Work left for Shyam = $\left ( 1 - \frac{1}{3} \right ) = \frac{2}{3}$

$\because$ Shyam does one work in 12 days

$\therefore$ Shyam does $\frac{2}{3}$ work in $\frac{12 x 2}{3}$ = 8 days

Now,

(8)_{10} (1000)_{2} = 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 numbers will be represented by +!!!+?

Options :

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

+ | ! | ! | ! | + |

16 | 8 | 4 | 2 | 1 |

Now since ! stands for 0, therefore , reject all the values depicted below the !. Thus, reject 8,4 and 2. Now, add the remaining values under each !. Hence the required value of +!!!+ is 16 + 1 = 17.

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 +**** = (01111)_{2} = (15)_{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 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 no will be represented by *+*+*

Options :

*+*+*can be represented as 10101 it means 16 + 0 + 4 + 0 + 1 = 21.

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 1001 it means 8 + 0 + 0 + 1 = 9.

reasoning_coded_binary_numbers.htm

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