Convert the numeral to a numeral in base 10.
-$$7842_{16}$$
A) 30,785
B) 30,786
C) 31,782
D) 32,654

Question

Quizplus · Accepted Answer

To convert the hexadecimal number $7842_{16}$ to a decimal number, we use the formula: $$ (7 \times 16^3) + (8 \times 16^2) + (4 \times 16^1) + (2 \times 16^0) $$ Calculating each term: $$ 7 \times 4096 = 28672 $$ $$ 8 \times 256 = 2048 $$ $$ 4 \times 16 = 64 $$ $$ 2 \times 1 = 2 $$ Adding them together: $$ 28672 + 2048 + 64 + 2 = 30786 $$ Therefore, the correct answer is 30,786.

Convert the Numeral to a Numeral in Base 10 7842167842_{16}784216​ A) 30,785 B) 30,786 C) 31,782 D) 32,654

Convert the Numeral to a Numeral in Base 10 $7842_{16}$ A) 30,785
B) 30,786
C) 31,782
D) 32,654