# 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.

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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 $$'4' is depicted as @@ and so on. Q 1 - Which of the following will represent 21? Options : A -$$@@$

B - $@$$C -$$@@$

D - $@@$$E - None of these ### Answer : E ### Explanation (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 : A - = > > > = B - = > > = = C - = = >>> D - > >> = > = E - None of these ### Answer : A ### Explanation 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 : A - #••#•••# B - #•#•••# C - #•••#•# D - #••#••# E - None of these ### Answer : B ### Explanation ∴ (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 : A - %% B - )% C - %) D - )) E - None of these ### Answer : B ### Explanation ##@ ⇒ 110 ⇒ 1 x 22 + 1 x 21 + 0 x 20 = 4 + 2 = 6 ## ⇒ 11 ⇒ 1 x 21 + 1 x 20 = 2 + 1 = 3 \frac{\#\#@}{\#\#} \:= \:\frac{6}{3} \:= \:2 , 2 ⇒ #@ ))% = 110 = 1 x 22 + 1 x 21 + 1 x 20 = 4 + 2 = 6 )) = 11 = 1 x 21 + 1 x 20 = 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 : A - 8 B - 11 C - 13 D - 12 E - None of these ### Answer : C ### 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 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 : A - 18 B - 15 C - 17 D - 16 E - None of these ### Answer : E ### Explanation 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 : A - Δ**Δ Δ B - Δ*Δ Δ Δ C - Δ**Δ Δ D - Δ Δ**Δ E - None of these ### Answer : B ### Explanation 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 :

A - 7

B - 6

C - 8

D - 9

### Explanation

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 :

A - *+*+

B - ****

C - **++

D - +*+*

### Explanation

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 :

A - 22

B - 21

C - 42

D - 29