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If (L)M represents a number L in the base-M number system, then identify the correct descending order of the following numbers when converted to base-10. Choose the correct answer from the options given below.

1.(9C)16
2.8
3.7
4.2
A3, 4, 2, 1
B4, 3, 1, 2 ✓ Correct
C2, 3, 1, 4
D4, 3, 2, 1
Correct answer: (B) 4, 3, 1, 2
Explanation

Converted to base ten, the descending order runs the binary 10011110, then the base-seven 313, then the hex 9C, then the octal 233.

The binary 10011110 equals 158, the largest of the four values.

The base-seven 313 equals 157, just below the binary value.

The hexadecimal 9C equals 156, coming next.

The octal 233 equals 155, the smallest of the four.

Each number reduces to base ten by summing each digit times its place value.

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