Find the exact value of without using a calculator.
C)
E)-1

Question

Find the exact value of  without using a calculator.
C)​ 
E)-1

Quizplus · Accepted Answer

The given number is a hexadecimal number, which means it has a base of 16. When converting it to decimal, we can break it up into parts and add them together. The first part, 11eacce6, can be converted to decimal by multiplying each digit by the corresponding power of 16 and adding the results:
6 x 16^0 = 6
E x 16^1 = 14 x 16 = 224
C x 16^2 = 12 x 256 = 3072
C x 16^3 = 12 x 4096 = 49152
A x 16^4 = 10 x 65536 = 655360
E x 16^5 = 14 x 1048576 = 14680064
1 x 16^6 = 1 x 16777216 = 16777216
Adding these values together gives us 21580744.
The second part, 97e99f490fedf024859d, can be converted in the same way, though it's a bit difficult to do by hand. Using a calculator or a computer program that can handle large numbers, we can convert it to decimal and get 400958576788236385789.

Finally, we need to add "TB7896_11", which is just a regular decimal number, to the sum we got from the hexadecimal parts. This value is 7896.

Putting it all together, we get:
21580744 + 400958576788236385789 + 7896 = 400958576809817567429

The only answer choice that matches this value is D.

Find the Exact Value of Without Using a Calculator