Without using a calculator, solve the following problem: A) 1 × 10^-4 B) 1 × 10⁵ C) 1 × 10²³ D) 1 × 10³²

Question

Quizplus · Accepted Answer

To solve this problem, we need to convert the hexadecimal number to binary, and then count the number of digits to determine the exponent of 10 in scientific notation. 11eacb30694b6a14b5a4af58b9107f2e in binary is: 0001 0001 1110 1010 1100 1011 0011 0000 0110 1001 0100 1011 0110 1010 0001 0100 1011 0101 1010 0100 1010 1111 0101 1000 1011 1001 0001 0000 0111 1111 0010 1110 There are a total of 128 digits, so the exponent of 10 in scientific notation is 128-1 = 127. Thus, the answer is 1 × 10²³.

Without Using a Calculator, Solve the Following Problem