Latest Elitmus Aptitude Question SOLUTION: How many 1s in the binary representation of 512*64+255+3? options: a)11 b)9 c)13 d) don't remember Asked on 25th may 2014

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(#M40037070) ELITMUS Numerical Ability question Aptitute Keep an EYE

How many 1s in the binary representation of 512*64+255+3?
options: a)11 b)9 c)13 d) don't remember
Asked on 25th may 2014

Asked In Elitmus Debabrata Nayak (10 years ago)

Unsolved Read Solution (8)

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Read Solution (8) :

RAKESH  (10 years ago)

512*64 + 255 + 3
= 2^9 * 2^6 + (2^8 - 1)+ 2 + 1
= 2^15 + 2^8 + 2^1
= (1000000100000010)2

no. of 1's = 3
no. of 0's = 13

Is this solution Helpfull? Yes (35) | No   

Saraswathy  (10 years ago)

512*64 = 32768
32768 => 2^15 = 1000 0000 0000 0000 (Binary form of 2^15) => no. of 1's is (1)
(ie) [1*2^15 + 0*2^14 + 0*2^13 + 0*2^12 +... ]

255 => 1111 1111 [1*2^7 + 1*2^6 + 1*2^5 + 1*2^4 + 1*2^3 + 1*2^2 + 1*2^1 + 1*2^0]
No. of 1's is (8)

3 => 0011 [0*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 3]
No. of 1's is (2)

So totally (1)+(8)+(2) = 11

Ans : (a) 11

Is this solution Helpfull? Yes (6) | No (5)  

Srujan Kumar  (10 years ago)

3 consists. 2 (1's)
255. -------- 8
512*64--------- 1

Total=11

Is this solution Helpfull? Yes (1) | No (2)  

Vaishali Gupta  (10 years ago)

512*64+255+3
512*64=2^9*2^6
=2^15
255=128+64+32+16+8+4+2+1
=2^7+2^6+2^5+2^4+2^3+2^2+2^1+2^0
3=2+1
=2^1+2^0
On Adding Them
2^15+2^7+2^6+2^5+2^4+2^3+2^2+2(2^1)+2(2^0)
binary no=111111122
no of 1's is 7

Is this solution Helpfull? Yes | No (3)  

Saraswathy  (10 years ago)

512*64 = 32768
32768 => 2^15 = 1000 0000 0000 0000 (Binary form of 2^15) => no. of 1's is (1)
(ie) [1*2^15 + 0*2^14 + 0*2^13 + 0*2^12 +... ]

255 => 1111 1110 [1*2^7 + 1*2^6 + 1*2^5 + 1*2^4 + 1*2^3 + 1*2^2 + 1*2^1 + 0*2^0]
No. of 1's is (7)

3 => 0011 [0*2^3 + 0*2^2 + 1*2^1 + 1*2^0 = 3]
No. of 1's is (2)

So totally (1)+(7)+(2) = 10

Ans : 10

Is this solution Helpfull? Yes | No (4)  

ashes  (10 years ago)

question was little different,the expression is not right

Is this solution Helpfull? Yes | No   

swarupa nuggu  (10 years ago)

Actual question is 512+255×64+3

Is this solution Helpfull? Yes | No   

sandeep gupta  (10 years ago)

Actual question is 1024+512*64+255+3

Is this solution Helpfull? Yes | No   

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