# mod

Mod

x!y

The **mod**, **modulo**, **remainder** or **residue**^{[1]} function, denoted by `!`

, is used for modulo in K.

Up until the K4 dialect, the modulo verb had the following characteristics:

`x`

is the dividend and`y`

is the divisor.- left atomic on account of the rotate overload.

From K5 onward, the modulo primitive is flipped and right atomic.^{[2]}

3!12 0 3!11 2 5!15 0 3!1 2 3 4 5 6 7 8 9 10 11 12 1 2 0 1 2 0 1 2 0 1 2 0