Binary Numbers (5 Questions)

In a certain code, the symbol for 0 (zero) is. * and that for 1 is $. The numb.:rs greater than 1 are to be written only by using the two symbols given above. The value of the symbol for 1 doubles itself every time it shifts one place to the left.

(For example, 4 is written as $**; and; 3 is written as $$)

(1) 260 can be represented as:

A) $****$**

B) $$*$$$$$

C) $$*$$$$**

D) $*****$**


(2) 60 / 17 can also be represented as:

A) $$$*$*** / $$**$$

B) $$$***** / $$**$$

C) $*$$*$** / $$**$$

D) $$*$*$** / $$**$$


(3) $***$ can be represented as:

A) $$$ / $*

B) $*$**- $$

C) $*$*$- $$

D) $$$***$ - $$


(4) 30^2 can be represented as:

A) ($$*$$ ) $*+ $*$*$$*$

B) ($$*$$ ) $* + $$****$

C) ( $$*$$ ) $$ + $*$****

D) ( $$*$$ ) $$ + $*$**$


(5) 11x 17 / 10 + 2 x 5 + 3 / 10 can also be represented as:

A) $*$$*

B) $*$$$

C) $$$*$

D) $**$$


how to solve these type of problems?

Questions by maity04108

Showing Answers 1 - 15 of 15 Answers

Sourish

  • May 17th, 2007
 

Mostly convert the binaries into decimals, thats formats you are familiar with. It will take time... So attempt last.

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vaidesh85

  • May 11th, 2008
 

6) 260
binary equivalent=10000100
so jus replace 1 with $  and 0 with *

7)60/17 is also equivalent to 180/51
coz $$**$$==110011===== binary equivalent of 51 which is 17*3
hence 60*3=180
therefore 60/17 is also = 180/17
===10110100/110011
===$*$$*$**/$$**$$
hence option C is correct

8)$***$
===10001 which is ===17
option B is $*$*$-$$
               ===10101-11
                ===20-3====17
hence option B is correct
 

(6).D)$*****$**

explanation:256+0+0+0+0+0+4+0+0=260
 
(7).c)$*$$*$**/$$**$$
explanation:180/51=60/17
 
(8).b)$*$**-$$
explanation:20-3=17
 
(10).c)$$$*$
explanation:18.7+10+.3=29


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shefali

  • Sep 1st, 2015
 


(4) 30^2 can be represented as:
A) ($$*$$ ) $*+ $*$*$$*$
B) ($$*$$ ) $* + $$****$
C) ( $$*$$ ) $$ + $*$****
D) ( $$*$$ ) $$ + $*$**$

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