convert to decimal

Question

I need help converting 0.00011001 ^2 to decimal ?

can anyone help with this please?

Answer 1

Convert binary 0.00011001 to decimal

0*2⁰+0*2^-1+0*2^-2+0*2^-3+1*2^-4+1*2^-5+0*2^-6+0*2^-7+2^-8 where the decimal point is between 2⁰ and 2^-1

0+0+0+0+1*(1/16)+1*(1/32)+1*(1/256)=1/16+1/32+1/256=0.0625+0.03125+0.00390625=0.9765625

Answer:

(0.00011001)₂ = (0.9765625)₁₀