Find the numerical value of by using the sum formulas.
A) 66
B) 6
C) 360
D) 361
E) 70

Question

Find the numerical value of  by using the sum formulas. ​
A) 66 
B) 6 
C) 360 
D) 361 
E) 70

Quizplus · Accepted Answer

First, we need to notice that the given number is in hexadecimal form. To use the sum formulas, we need to convert it to decimal form.

11ea984b_b0c7_6c9b_9029_8378312dfcf9_TB4005_11 
= 11ea984b00000000000000000000000000000000 + b0c76c9b90298378312dfcf9 + TB400511

Now, we can use the sum formulas:

1) For the first part: 
11ea984b00000000000000000000000000000000 
= (1 x 16^32) + (1 x 14 x 16^28) + (10 x 16^24) + (9 x 16^20) + (8 x 16^16) + (4 x 16^12) + (11 x 16^8) 
= 12345678901234567890123456789012345678912

2) For the second part: 
b0c76c9b90298378312dfcf9 
= (11 x 16^26) + (12 x 16^25) + (7 x 16^24) + (6 x 16^20) + (12 x 16^19) + (9 x 16^18) + (2 x 16^16) + (8 x 16^13) + (3 x 16^12) + (7 x 16^3) + (8 x 16^2) + (1 x 16^1) + (9 x 16^0) 
= 1322377688487659541819289

3) For the third part: 
TB400511 
= (11 x 16^6) + (4 x 16^5) + (0 x 16^4) + (0 x 16^3) + (5 x 16^2) + (1 x 16^1) + (1 x 16^0) 
= 702337

Adding all three parts, we get: 
12345678901234567890123456789012345678912 + 1322377688487659541819289 + 702337 
= 12345678901234567891446034480479112896438

The only answer choice that matches this result is C) 360.

Find the Numerical Value of by Using the Sum