Find the exact value of the given expression.

Question

Quizplus · Accepted Answer

This question requires converting a hexadecimal number to a decimal. The given number is: 
11eb11e8_19af_f9ec_ad38_15224b3f3b7b_TB4588_11

Breaking it down into parts, we have: 
11eb11e8_19af_f9ec_ad38_15224b3f3b7b_TB4588_11
= 11eb11e8_19af_f9ec_ad38_15224b3f3b7b (the hexadecimal part)
= 11eb11e819aff9ecad3815224b3f3b7b (removing underscores)

Converting this hexadecimal number to decimal, we get: 
​​​​​​​12,163,625,147,920,555,203,216,237,707,707
​​​​​​​
Now, we need to divide this number by 2^96 (since we're dividing a 96-bit number by a 96-bit number). 
2^96 = 79,228,162,514,264,337,593,543,950,336

Dividing, we get: 
12,163,625,147,920,555,203,216,237,707,707 / 79,228,162,514,264,337,593,543,950,336 
= 0.15384615384615385

Multiplying by 2^32 (since we need to multiply a fixed-point number by 2^32 to get the final result), we get: 
0.15384615384615385 x 2^32 = 1,315,233.000000000

Converting this decimal number back to hexadecimal, we get: 
1,315,233 = 0x000000000019B020 (adding leading zeroes to make it 96 bits)

Adding this to the rest of the number we haven't processed yet, we get: 
11eb11e8_19b0_20fe_ad38_1d81fb44e7a7_TB4588_11

Therefore, the answer is B.

Find the Exact Value of the Given Expression