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 descending order of the following numbers A–D when converted to decimal number system.

A. (103.2)4
B. (100011.11)2
C. (46.2)8
D. (36.6)16

Choose the correct answer from the options given below:

  1. A.

    B, C, D, A

  2. B.

    D, A, B, C

  3. C.

    C, D, B, A

  4. D.

    D, C, B, A

Attempted by 43 students.

Show answer & explanation

Correct answer: D

First, convert each number to the decimal system for accurate comparison. Number A equals 19.5, B equals 35.75, C equals 38.25, and D equals 54.375 after calculation. Arranging these calculated values in descending order yields the sequence D, C, B, A.

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