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. (11101.11)₂
B. (130.2)₄
C. (34.5)₈
D. (15.6)₁₆

Choose the correct answer from the options given below:

Correct option is D

Conversions:
A. (11101.11)₂
Integer part:
1×2⁴ + 1×2³ + 1×2² + 0×2¹ + 1×2⁰ = 16 + 8 + 4 + 0 + 1 = 29

Fractional part:
1×2⁻¹ + 1×2⁻² = 0.5 + 0.25 = 0.75

So, A = 29.75

B. (130.2)₄
Integer part:
1×4² + 3×4¹ + 0×4⁰ = 16 + 12 + 0 = 28

Fractional part:
2×4⁻¹ = 0.5

So, B = 28.5

C. (34.5)₈
Integer part:
3×8¹ + 4×8⁰ = 24 + 4 = 28

Fractional part:
5×8⁻¹ = 0.625

So, C = 28.625

D. (15.6)₁₆
Integer part:
1×16¹ + 5×16⁰ = 16 + 5 = 21

Fractional part:
6×16⁻¹ = 6/16 = 0.375

So, D = 21.375

Decimal Values:
A = 29.75

B = 28.5

C = 28.625

D = 21.375

Ascending Order:
D (21.375) < B (28.5) < C (28.625) < A (29.75)

Final Answer:
(D) D, B, C, A