2^16 - 16^2 =

M4maths Previous Puzzles

14 Mar 2011 power

2^16 - 16^2 =

OPtion

1) 64382
2) 65134
3) 65280
4) 65434
5) 66346
6) 66438
7) 66650
8) 67548
9) 67870
10) 68890

Solution

2^16 = 256*256
16^2 = 256
so 2^16 - 16^2 = 256*256 - 256 = 256*255 = 65280

Correct Option: 3 Best Solution (11)

Balakumaran N.A   13 years AGO

w.k.t. in C language int limit is -2^15 to 2^15(-32768 to 32767). So, (2^16)65536-256=65280. is the answer...

Like? Yes (6) | No   

sanjeev   13 years AGO

break 2^16 in to 2^4*2^4*2^4*2^4
16*16*16*16-16*16
taking common 16*16

16*16(16*16-1)
256*255=65280

Like? Yes (2) | No   

YadeeshKumar   13 years AGO

2^16=65536
16^2=256
65536-256=65280

Like? Yes (3) | No (2)  

ASHOK ROY   13 years AGO

2^16-16^2= (2^4)^4- 16^2= 16^4-16^2= 16^2(16^2-1)= 256*255= 65280..... Option 3)

Like? Yes (1) | No   

Murthy Ch.v.v.s.s.s.   13 years AGO

65536-256 = 65280

Like? Yes (1) | No   

alok   13 years AGO

2^16-16^2= (2^4)^4- 16^2= 16^4-16^2= 16^2(16^2-1)= 256*255= 65280..... Option 3)

Like? Yes (1) | No   

Karthick Babu   13 years AGO

2^16=65536,16^2=256
2^16-16^2=65536-256
=65280(Option 3)

Like? Yes (1) | No (1)  

RajiniRaja S   13 years AGO

2^16=65535
16^2=256

so, 65536-256= 65280
option 3 is correct.

Like? Yes (1) | No (1)  

Seema   13 years AGO

2^16-16^2
=65536-256
=65280

Like? Yes (1) | No (1)  

Suresh Varma P   13 years AGO

65536 - 256 = 65280

Ans: Option 3

Like? Yes (1) | No (1)  

dharmaveer   13 years AGO

65536 - 256 = 65280

Like? Yes (1) | No (1)