Successive Squaring 22^128mod101 Enter Modular ExponentiationSolve 22128 mod 101 using:
the Successive Squaring Method
Step 1: Convert our power of 128 to binary notation:Using our binary calculator, we see that 128 in binary form is 10000000
The length of this binary term is 8, so this is how many steps we will take for our algorithm below
Step 2: Construct Successive Squaring Algorithm:iaa2a2 mod p 0 222222 mod 101 = 22 1 22484484 mod 101 = 80 2 8064006400 mod 101 = 37 3 3713691369 mod 101 = 56 4 5631363136 mod 101 = 5 5 52525 mod 101 = 25 6 25625625 mod 101 = 19 7 19361361 mod 101 = 58Step 3: Review red entriesLook at the binary term with values of 1 in red Read More...
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