The decimal conversion of binary number (1010.011)_2 is:
2026
The decimal conversion of binary number (1010.011)_2 is:
- A.
(10.395)10
- B.
(10.375)10
- C.
(11.395)10
- D.
(11.375)10
Attempted by 141 students.
Show answer & explanation
Correct answer: B
To convert the binary number (1010.011)₂ to decimal, calculate the integer and fractional parts separately. Integer part: 1010 = (1×8) + (0×4) + (1×2) + (0×1) = 10. Fractional part: .011 = (0×0.5) + (1×0.25) + (1×0.125) = 0.375. Total decimal value is 10 + 0.375 = 10.375.