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

1.(8B)16

2.8

3.7

4.2

A1, 2, 3, 4

B2, 1, 3, 4 ✓ Correct

C4, 3, 2, 1

D2, 3, 1, 4

Correct answer: (B) 2, 1, 3, 4

Explanation

Converted to base ten, the ascending order runs the octal 212, then the hex 8B, then the base-seven 260, then the binary 10001101.

The octal 212 equals 138, the smallest of the four values.

The hexadecimal 8B equals 139, just above the octal value.

The base-seven 260 equals 140, coming next in order.

The binary 10001101 equals 141, the largest of the four.

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

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