# 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.

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 :

A - Δ Δ Δ*Δ

B - *Δ Δ Δ Δ

C - Δ Δ Δ**

D - Δ Δ Δ*

E - None of these

### Explanation

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 represents 22?

Options :

A - = > = >>

B - = > = = >

C - = >> = >

D - = >>> =

E - None of these

### Explanation

(22)10 = (10111)2 ⇒(=>>=)

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 :

A - 137

B - 127

C - 147

D - 167

E - None of these

### Explanation

 } < < } } } < }

∴ }<<}}}<} = 128 + 0 + 0 + 16 + 8 + 4 + 0 + 1 = 157

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 :

A - ))%%

B - )%)%

C - %%))

D - %)%)

E - None of these

### Explanation

))% ⇒ 110 ⇒ 1 × 22 + 1 × 21 + 1 × 20 = 4 + 2 = 6

))))% ⇒ 11110 ⇒ 1 × 24 + 1 × 23 + 1 × 22 + 1 × 21 + 1 × 20 = 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 numbers will be represented by ++!+?

Options :

A - 8

B - 11

C - 13

D - 12

E - None of these

### Explanation

++!+ = (1101)2

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

1101 =

∴ 1 x 22 + 1 x 22 + 0 x 21 + 1 x 20

= 8 + 4 + 0 + 1 = (13)10

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 :

A - 17

B - 16

C - 18

D - 19

### Explanation

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 :

A - Δ**Δ*Δ

B - *Δ Δ*Δ

C - Δ*****

D - Δ Δ**Δ

E - None of these

### Explanation

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 symbol arrangement will represent 9?

Options :

A - Δ+++

B - +Δ+Δ

C - +Δ Δ+

D - ++Δ Δ

E - None of these

### Explanation

(9)10 = (1001)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 2 x 2 x 2 + 3 x 3 + 2 x 3?

Options :

A - ^***^

B - *^***

C - *****

D - ^^^^^

### Explanation

The value of the given equation is 23. After dividing 23 with 2, we can get remainders as 10111 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 :

A - 22

B - 21

C - 42

D - 29