If (L)M represents a number L in base-M number system, then identify the…
2024
If (L)M represents a number L in base-M number system, then identify the correct ascending order of the following numbers A-D when converted to decimal number system. (ICT)
A. (11011.11)2
B. (131.2) 4
C. (25.5)8
D. (16.6) 16
Choose the correct answer from the options given below:
- A.
C, D, B, A
- B.
C, D, A, B
- C.
A, C, D, B
- D.
B, A, C, D
Attempted by 78 students.
Show answer & explanation
Correct answer: B
First, convert each number to the decimal system:
A. (11011.11)₂ = 16 + 8 + 2 + 1 + 0.5 + 0.25 = 27.75
B. (131.2)₄ = 16 + 12 + 1 + 0.5 = 29.5
C. (25.5)₈ = 16 + 5 + 0.625 = 21.625
D. (16.6)₁₆ = 16 + 6 + 0.375 = 22.375
Arranging in ascending order: 21.625 (C) < 22.375 (D) < 27.75 (A) < 29.5 (B).
The correct sequence is C, D, A, B.
A video solution is available for this question — log in and enroll to watch it.