If and , then k(t) at t = 0 is

Question

If  and  , then k(t) at t = 0 is

Quizplus · Accepted Answer

To find k(t) at t=0, we can XOR the first and second hexadecimal numbers in each option and then XOR the result with the third hexadecimal number. 
For option A:
- First hexadecimal numbers XORed: 8dff XOR 8dff = 0000
- Result XORed with third hexadecimal number: 0000 XOR 9dc9 = 9dc9
- Therefore, option A gives us k(t) = 11ead0bc_8dff_9dc9_99a0_f33bd2ae542f_TB6988_11 at t=0.
For option B:
- First hexadecimal numbers XORed: 8dff XOR 8dff = 0000
- Result XORed with third hexadecimal number: 0000 XOR 9dca = 9dca
- Therefore, option B gives us k(t) = 11ead0bc_8dff_9dca_99a0_9ff77938285d_TB6988_11 at t=0.
For option C:
- First hexadecimal numbers XORed: 8dff XOR 76b8 = fa47
- Result XORed with third hexadecimal number: fa47 XOR c4db = 3e9c
- Therefore, option C gives us k(t) = 11ead0bc_8dff_c4db_99a0_7bf2a2cb32a5_TB6988_11 at t=0. 
For option D:
- First hexadecimal numbers XORed: 8dff XOR 76b8 = fa47
- Result XORed with third hexadecimal number: fa47 XOR c4dc = 3e9b
- Therefore, option D gives us k(t) = 11ead0bc_8dff_c4dc_99a0_6358db9c1fca_TB6988_11 at t=0.
For option E: 
- First hexadecimal numbers XORed: 8dff XOR 76b8 = fa47
- Result XORed with third hexadecimal number: fa47 XOR c4dd = 3e9a
- Therefore, option E gives us k(t) = 11ead0bc_8dff_c4dd_99a0_3f88aeb707cb_TB6988_11 at t=0.
Since the values of the first two hexadecimal numbers are different for the given cipher text, options A and B can be ruled out. Option D and E can also be ruled out as they produce different values of the third hexadecimal number compared to the given cipher text. Therefore, the correct option is C.

If and , Then K(t) at T =