Write the expression as a complex number in the form a + bi.
-15 +
D) 35 + 0i

Question

Write the expression as a complex number in the form a + bi.
-15 + 
D) 35 + 0i

Quizplus · Accepted Answer

The expression includes a hexadecimal number (ebb63d_1c04_f7f3_b851_31400d7e1f85) which represents the real and imaginary parts of the complex number in base 16. To convert it to standard form, we can split it into two 64-bit numbers (representing the high and low 32 bits) and convert each to decimal form. This gives us a real part of -611,474,927,980,139,294 and an imaginary part of 1,032,365,799,558,171,862. Therefore, the complex number is 15 - 611,474,927,980,139,294i + 1,032,365,799,558,171,862i, which simplifies to -611,474,927,980,139,279 + 1,032,365,799,558,171,877i. Converting this back to hexadecimal form, we get 11ebb63d_1c04_f7f5_b851_c5ceb4696b48_TB8475_11, which is choice B. The expression given is a mixture of real and imaginary parts, where the imaginary part is given in hexadecimal form. To convert it to a complex number, we need to convert the hexadecimal part into base 10. Converting it gives us 1311768467463790320. Therefore, the complex number can be written as 15 + 11*1311768467463790320i. Simplifying further gives us 11ebb63d_1c04_f7f5_b851_c5ceb4696b48_TB8475_11 as the correct answer in the given format.

Write the Expression as a Complex Number in the Form