If (L)M represents a number L in the base-M number system, then what will be the value of (107)16 + (257)16 in base 10?

A(257)10

B(862)10 ✓ Correct

C(962)10

D(662)10

Correct answer: (B) (862)10

Explanation

Converting 107 in hexadecimal gives 1 times 256 plus 7, which equals 263 in base ten.

Converting 257 in hexadecimal gives 2 times 256 plus 5 times 16 plus 7, which equals 599.

Adding 263 and 599 gives 862 in base ten.

The value 257 is just one of the original hex numbers, not the sum.

The values 962 and 662 come from arithmetic slips in the place-value multiplication.

Each hex digit carries a weight that is a power of sixteen, rising right to left.

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