Simplify and write the following complex number in standard form.

Question

Quizplus · Accepted Answer

The given complex number can be written in the form a + bi, where a and b are real numbers. The hexadecimal number in the given complex number only affects the imaginary part of the number. Since the last four digits of the given number are greater than 7FFF, we need to subtract FFFF from them and add 1 to the previous hexadecimal digit. Doing this for the given number, we get 11ea89fe_4b5c_e96e_9fff_396ee18c3c57_TB2036_11, which can be simplified to 11ea89fe_4b5c_e96e_9fff_396ee18c3c57 + i. This is in the form a + bi, which is the standard form of a complex number. Therefore, the best choice is C.

Simplify and Write the Following Complex Number in Standard Form