Solve the following equation.

Question

Solve the following equation. ​  ​

Quizplus · Accepted Answer

This is a hexadecimal number. In order to solve the equation, we need to convert it to decimal. 
11eacce6_1eb5_1679_9f49_85bdf01fda7b = 
(1 * 16^43) + (1 * 16^42) + (14 * 16^41) + (10 * 16^40) + (12 * 16^39) + (12 * 16^38) + (14 * 16^37) + (6 * 16^36) + 
(1 * 16^35) + (14 * 16^34) + (11 * 16^33) + (5 * 16^32) + (1 * 16^31) + (6 * 16^30) + (7 * 16^29) + (9 * 16^28) + 
(9 * 16^27) + (4 * 16^26) + (9 * 16^25) + (8 * 16^24) + (5 * 16^23) + (11 * 16^22) + (13 * 16^21) + (15 * 16^20) + 
(0 * 16^19) + (31 * 16^18) + (13 * 16^17) + (10 * 16^16) + (24 * 16^15) + (11 * 16^14) + (13 * 16^13) + (15 * 16^12) + 
(14 * 16^11) + (14 * 16^10) + (2 * 16^9) + (21 * 16^8) + (8 * 16^7) + (11 * 16^6) + (13 * 16^5) + (15 * 16^4) + 
(14 * 16^3) + (14 * 16^2) +(0 * 16) + 11
Simplifying this expression, we get:
11eacce6_1eb5_1679_9f49_85bdf01fda7b = 
79598822645353221221826823493800920463541211
Since this number ends in 1 (TB7896_11), which is equivalent to 16^10, we need to add 10 to the exponent of 16. Therefore, the final answer is:
79598822645353221221826823493800920463541211 x 16^10 = 
8744338335085774339602820514942816334641970394624
This number can be expressed as 11eacce6_1eb5_3d8b_9f49_6550bfdfeef6_TB7896_11, which corresponds to choice B.

Solve the Following Equation. ​ ​

Solve the Following Equation.