I'm rubbish at mathematics. What's binary representation of 1564??? 10 pts 4 best answer!!!!!!?

[SJ9228]

Please show working!!!Thx very much appreciatedCheers, puzzling!!!!!

[Puzzling5970]

The way to convert from base 10 to base 2 is to "divide and track remainders"Start with your number and continue dividing by 2:1564 / 2 = 782 remainder 0782 / 2 = 391 remainder 0391 / 2 = 195 remainder 1195 / 2 = 97 remainder 197 / 2 = 48 remainder 148 / 2 = 24 remainder 024 / 2 = 12 remainder 012 / 2 = 6 remainder 06 / 2 = 3 remainder 03 / 2 = 1 remainder 11 / 2 = 0 remainder 1Now just read your remainders going up:11000011100A quick way to check is to go to Windows Calculator (Start > Programs > Accessories > Calculator. Choose the scientific mode with 'View'>'Scientific'. Type in 1564 and then click the 'Bin' circle.

[HenkV]

The powers of 2 are : 1,2,4,8,16,32,64,128,256,512,1024,2048,...2048 is too big however 1024 fits in our number :1 and we maintain 1564-1024=540Next 512 fits in the remainder (540) :11 and 540-512=28 as remainderso 256,128,64,32 don't fit : 4 zero's110000Then 16 fits : 28-16=12 as remainder11000018 fits ; 12-8=4 as remainder110000114 fits : 4-4 = 0 as remainder11000011100 !!![ So the last two (2 and 1) don't fit ]

[MoiseGunen]

1564=1024+512+16+8+4=2^10+2^9+2^4+2^3+2^2then obtain2^n is 1 folowed by n of 011000011100