1. - - Problems 1 through 5 will used hexadecimal notation to represent bytes. The following table can be used to perform an XOR operation on hexadecimal digits: 10 1 2 3 4 5 6 7 8 9 a b c d e f -1 0 0 1 2 3 4 5 6 7 8 9 a b c d e f 1 1 0 3 2 5 4 7 6 9 8 badcfe 212 3 0 16 7 4 5 a b 8 9 efcd 313 2 1 0 7 6 5 4 6 a 9 8 fedc 4/4 5 6 7 0 123 cdef 89 a b 515 4 7 6 1 0 3 2 dcfe98 b a 616 7 4 5 2 3 0 1 fcd a b 8 9 717 6 5 4 3 2 1 0fedcba 98 889 a b c d e f 0 1 2 3 4 5 6 7 998 b a dcfe 10 3 2 5 4 7 6 ala b89efcd 230 16 7 4 5 bb a 98fedc3 210 7 6 5 4 ccdef 89 a b 4 5 6 7 0 1 2 3 dldcfe98 b a 5 4 7 6 1 0 3 2 elefcd a b 8 9 6 7 4 5 2 3 0 1 f|fedcba 9 8 7 6 5 4 3 2 1 0 For example, 5 dwould give the entry in row 5 column d, which is 8 Given a plaintext block P and a round key K, with the following values: P=0001020304050607 08090A0B OCODOEOF Ko = 46369cf7 9345246d 450856fb 70c62e3e what would the internal state be after the initial AES AddRoundKey layer? 4. Given a plaintext P' = FF01020304050607 08090A0B OCODOE0F answer the following questions. (a) How many bytes would be different in the result you computed over the previous three problems, if you had started with P' instead of P? (b) How many bytes would be different after the first round MixColumn layer if you had started with P' instead of P? (C) How many bytes would be different after the first round AddRoundKey layer if you had started with P' instead of P