Definition:Replacement Operation/Examples

Examples of use of Replacement Operation

Exchange Operation as Replacement Operations

Let $x$ and $y$ be variables whose values are to be exchanged.

The exchange operation on $x$ and $y$ can be implemented using replacement operations.

Let $t$ be a third variable which has been established for this purpose.

Then the sequence of replacement operations:

$t \gets x$

$x \gets y$

$y \gets t$

performs the task.

Rearrangement Operation as Replacement Operations

Let $\left({a, b, c, d}\right)$ be an ordered quadruple consisting of four variables whose values are to be rearranged into the order $\left({b, c, d, a}\right)$.

This can be implemented using replacement operations.

Let $t$ be a new variable which has been established for this purpose.

Then the sequence of replacement operations:

$t \gets a$

$a \gets b$

$b \gets c$

$c \gets d$

$d \gets t$

performs the task.