If (L)M represents a number L in base M number system, then identify the…
2026
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.
A. (333.2)4
B. (111111.11)2
C. (77.2)8
D. (3F.6)16
Choose the correct answer from the options given below:
- A.
B, D, A, C
- B.
C, D, A, B
- C.
A, D, B, C
- D.
C, D, B, A
Attempted by 60 students.
Show answer & explanation
Correct answer: B
To find the ascending order, convert all numbers to decimal: A: (333.2)₄ = 3×16 + 3×4 + 3×1 + 2/4 = 63.5 B: (111111.11)₂ = 63 + 0.75 = 63.75 C: (77.2)₈ = 7×8 + 7 + 2/8 = 63.25 D: (3F.6)₁₆ = 48 + 15 + 6/16 = 63.375 Order: C (63.25) < D (63.375) < A (63.5) < B (63.75).