Coded Binary Numbers Online 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 $$'4' is depicted as @@ and so on. Q 1 - Which of the following numbers will be represented by @@$$? Options : A - 22 B - 33 C - 19 D - 17 E - None of these Answer : D Explanation $$@@$$ = 10 011 = 1 x 24 + 0 x 23 + 0 x 22 + 1 x 21 + 0 x 20 = 16 + 0 + 0 + 2 + 1 = 19 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 will be the code for 82? Options : A - Δ*****Δ B - Δ ΔΔ**Δ* C - Δ*Δ**Δ* D - Δ Δ***Δ* E - None of these Answer : C Explanation Hence, code for 82 will be 1010010, ie Δ*Δ**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 : A - 52 B - 75 C - 74 D - 71 E - None of these Answer : B Explanation 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 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 will represent 8? Options : A - ((-- B - –((- C - ((-- D - –(( E - None of these Answer : E Explanation (8)10 = (1000)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 : A - 27 B - 26 C - 28 D - 29 Answer : A Explanation The number is **+** = (11011)2 = (27)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 18? Options : A - Δ**Δ* B - Δ*Δ Δ Δ C - Δ***** D - Δ Δ**Δ E - None of these Answer : A Explanation The decimal to binary conversions will be (18)10 = (10010)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 - 4

B - 5

C - 8

D - 3

Explanation

The number is -- = (0011)2 = (3)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 numbers will be represented by *++*

Options :

A - 22

B - 11

C - 18

D - 9

Explanation

*++*can be represented as 1001 it means 8 + 0 + 0 + 1 = 9.

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 :

A - ##!##

B - #!#!#

C - !#!#!

D - #!##!