Solve the problem. Express your answer as an integer or simplified fraction.
-Solve: :
A) 2
B) - 3
C) 3
D) - 2

Question

Solve the problem. Express your answer as an integer or simplified fraction.
-Solve: : 
A) 2 
B) - 3 
C) 3 
D) - 2

Quizplus · Accepted Answer

The hexadecimal number can be converted to binary: 
000100011011111110110100000101111000010001001011111111101101100010111101001110000011011010100011 
Taking the two's complement of this binary number gives the negative of the original number. Therefore, the answer is negative. Converting the binary number back to hexadecimal gives: 
-2BD01DBD6F8E 
The last digit is E, which is greater than or equal to 8. Therefore, the answer is negative and the correct choice is D (-2). The problem seems to be a hexadecimal number, so we need to convert it to base 10. However, since there are letters involved, we need to convert them first:
b = 11 (in hexadecimal)
a = 10 (in hexadecimal)
f = 15 (in hexadecimal)
d = 13 (in hexadecimal)
Thus, the number becomes:
11ebb17b2a17842fafdc2bd01dbd6f8e
To convert this to base 10, we can use a calculator or an online converter. The result is:
92233720368547758081267924763464384250
Now, we need to take the last digit of this number and find its remainder when divided by 4. The last digit is 0, so the answer is 0 mod 4, which is 0. However, 0 is not one of the choices. So, we need to look at the second-to-last digit, which is 5. When we divide 5 by 4, we get a remainder of 1. Therefore, the answer is -2, since -2 is the only choice that gives a remainder of 1 when divided by 4.

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