Blockchain tutorial 7: Modulo operation Video Lecture | Blockchain Tutorial: A Fundamental Guide - Cryptocurrency

in this tutorial I will explain what the
module operation is what is the module
operation if you defy
by five the value is one and the
remainder is 2 because 1 times 5 is 5
plus 2 is 7
the remainder 2 is the result of a
module operation if you are only
interested in the remainder the
mathematical notation is 7 mod 5 is 2
this notation is pronounced as 7 module
5 is congruent to 2 this symbol means
congruent to in this example the value 5
is called the modulus the purpose of
applying a bundle operation is to keep
the resulting value which means the
remainder within a certain range here's
an example the modulus is 5 as you can
see over here the failure is increasing
0 1 2 3 4 if you look at the resulting
failure the resulting failure never
exceeds the failure 4 and that's the
purpose of applying a model operation
the fail you'll never exceed the modulus
minus 1
14 what 5 is 4 because 14 to five about
five here's two and the remainder is 419
what 5 is 4 because 19 divided by 5 is 3
and the remainder is 4 summarize and mod
p is remainder and the remainder lies
between 0 and P minus 1 for instance if
the P is 5 the remaining value lies
between 0 and 5 minus 1 is 4 so 0 and 4
here's an example of a muddler
operation you know that whatever happens
over here the result will be a value
between 0 and P minus 1 if you find the
module operation hard to understand you
can look at the model operation at the
different way a modulo operation is also
called the clock operation in this
example the modulus is 5 so I divided
this clock in 5 pieces 1 2 3 4 5 so 0
mod 5 0 mod 5 is 0 1 mod 5 1 mod 5 is 1
2 more 5 1 2 mod 5 is 2 3 1 2 3 mod 5 6
3 4 1 2 3 4 4 mod 5 is 4 5 1 2 3 4 5 mod
5 is 0 6 1 2 3 4 5 6 mod 5 is again 1 7
1 2 3 4 5 6 7 1 5 is 2 8 1 2 3 4 5 6 7 8
mod 5 a 3 & 9 1 2 3 4 5 6 7 8 9 mod 5 is
4 if I use the models files
the remains and lights always between
zero and four if I take the modulus of
eight the remainder will always be a
fairly between zero and seven if I take
the remainder ten the remainder is
always between zero and nine the purpose
of this video is not to teach you how to
do module arithmetic but just explain
what the purpose is of a module
operation here are some examples of a
module operation in this equation lambda
will be a value between 0 and P minus 1
in this equation the value will always
be a value between 0 and P minus 1 in
this equation the failure will be a
value between 0 and P minus 1