The binary equivalent of (25.625)₁₀ is _____.

To convert (25.625)10​ to binary, we need to convert the integer and fractional parts separately.

Integer Part: 25

25=16+8+1

So,

(25)10=(11001)2

Fractional Part: 0.625

Multiply repeatedly by 2:

• 0.625×2=1.25→ 1

• 0.25×2=0.5 → 0

• 0.5×2=1.0 → 1

Thus,

(0.625)10=(0.101)2

(25.625)10=(11001.101)2