Here is an example algorithm to convert a tree into a binary tree:

Create an empty binary tree, which will be the resulting binary tree.

For each node in the input tree, starting from the root node:
a. If the current node is a leaf node, add it to the binary tree as a leaf node.
b. If the current node has only one child, add it to the binary tree as the left or right child, depending on which child it has.
c. If the current node has two children, add it to the binary tree as the root node and recursively convert the left and right children of the current node into binary trees, and then add them as the left and right children of the new root node.

Note that this algorithm assumes that the input tree is a binary tree and that the resulting binary tree will maintain the same structure as the input tree. The complexity of this algorithm is O(n), where n is the number of nodes in the input tree.

Here is an example algorithm to convert a tree into a binary tree:

a. If the current node is a leaf node, add it to the binary tree as a leaf node.

b. If the current node has only one child, add it to the binary tree as the left or right child, depending on which child it has.

c. If the current node has two children, add it to the binary tree as the root node and recursively convert the left and right children of the current node into binary trees, and then add them as the left and right children of the new root node.

Note that this algorithm assumes that the input tree is a binary tree and that the resulting binary tree will maintain the same structure as the input tree. The complexity of this algorithm is O(n), where n is the number of nodes in the input tree.