if we have the number

1101

this is 1*2^0 + 0*2^1 + 1*2^2 + 1*2^3 which = 1+4+8 = 13

read my original post as to how i get the 1*2^0 things

0.234 is a floating point number therefore we use floating point representation

the mantissa is 234

the exponent is 3

234

_{2}*e

^{3}

to turn this to binery we simply turn both numbers to base 2. At higher this is all that is expected of you even though you will no doubt be thinking it cant be like that in the actual real world(and you would be correct)

to go the otherway you simply work backwards