Hashing quiz problem

#1

Consider a hash table of size m = 10000, and the hash function h(K) = floor (m(KA mod 1)) for A = ( √(5) – 1)/2. The key 123456 is mapped to location .

answer: 41

kindly explain sir

#2

Given hash function: h(K) = floor (m (K*A mod 1))
where A = ( √(5) – 1)/2

h(123456) = floor(10000 * (123456 * (√5 − 1) / 2) mod 1) 
          = floor(10000 * (76300.004115 mod 1)
          = floor(10000 * (.004115))
          = 41.15
          = 41

So, 41 is correct answer

#3

how are we performing this operation (76300.004115 mod 1)…as mod is invalid with float

#4

this is question of hashing in general

% mod operator is defined for all numbers in math
but it is not defined for floats/double in c++ only

here we are doing calculation in general not c++ specific so here we consider
76300.004115 mod 1 = .004115

#5

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