How to Convert Binary Fraction (11010.110101) to Decimal, Octal, and Hexadecimal

 Convert to decimal:

Integer part

11010 = 1 * 2⁴ + 1 * 2³ + 0 * 2² + 1 * 2¹+0 * 2⁰  = 16+8+0+2+0=26

Fractional part

0.110101 =1×2 ⁻¹ +1×2 ⁻² +0×2 ⁻³ +1×2 ⁻⁴ +0×2 ⁻⁵ +1×2 ⁻⁶=0.5+0.25+0+0.0625+0+0.015625=0.828125

(11010.110101)₂  = (26.828125)₁₀

Convert to octal:

Integer part:

011 = 3, 010 = 2

11010 = 32

Fractional part

110 =6 , 101 = 5

.110101 = .65

(11010.110101)₂  = (32.65)₈

Convert to hexadecimal:

Integer part:

0001 = 1, 1010 =A

11010 =  1A

Fractional part:

1101 = D, 0100 = 4

.110101 = .D4

(11010.110101)₂  = (1A.D4)₁₆