If a number L in base M number system is represented, then identify the correct descending order of the following numbers 1 to 4 when converted to decimal number system. Choose the correct answer from the options given below:
1.2) base 4
2.11) base 2
3.2) base 8
4.(D5.6) base 16
A1, 3, 4, 2 ✓ Correct
B2, 3, 4, 1
C3, 1, 2, 4
D4, 2, 1, 3
Correct answer: (A) 1, 3, 4, 2
Explanation
Converting each number to decimal shows number 1 is the largest at 770.5, so the descending order begins with it.
Number 1, (30002.2) in base 4, equals 770.5 in decimal, the highest value here.
Number 3, (666.2) in base 8, equals 438.25, placing it second.
Number 4, (D5.6) in base 16, equals 213.375, placing it third.
Number 2, (100000.11) in base 2, equals only 32.75, the smallest value.
The correct descending order is therefore 1, 3, 4, 2.
Each digit's contribution is its face value times the base raised to that position's power.
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