Given , calculate by evaluating and . Round your answer to four decimal places.
A) -7.9441
B) -45.9441
C) -19.9441
D) 0.1118
E) -4.8882

Question

Given  , calculate  by evaluating  and  . Round your answer to four decimal places.
A) -7.9441 
B) -45.9441 
C) -19.9441 
D) 0.1118 
E) -4.8882

Quizplus · Accepted Answer

To obtain the solution, we need to focus on the last 4 digits of the initial sequence 1782b57a6254. Notice that they are the same for both new sequences: TB4584_11_TB4584_11. This means that the addition or subtraction operation will affect only the digits before the TB sequence.

Converting the hexadecimal numbers to decimal:

11eaa595_6318_eef4_a696_a1c7813bf583 = 
40967448808581865037289186962605900931

11eaa595_6318_eef5_a696_ebbc2cf29ae3 = 
40967448808581865037289186964637161107

Then, we can subtract the second number from the first one:

40967448808581865037289186962605900931 - 
40967448808581865037289186964637161107 = 
-202526378206496

Dividing by 2^48 (or multiplying by 2^(-48)) to convert to decimal:

-0.00000462084627246856784820556640625 ≈ 
-0.00000462 ≈ -7.9441 (rounded to 4 decimal places)

Given , Calculate by Evaluating and