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(a) Find the last two decimal digits of 139139100 (b) Find the multiplicative inverse of 15 modulo 56 using the extended Euclidean algorithm. (c)

(a) Find the last two decimal digits of 139139100 (b) Find the multiplicative inverse of 15 modulo 56 using the extended Euclidean algorithm. (c) Let p be a large prime and let g be a generator of the group Zp. Let r = g* mod p for integer x. Show that it is possible to find the least significant bit of the binary representation of x by computing r(p-1)/2 mod p.

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