binden
to tie
To join or fasten something together with a ribbon, string, or something similar.
Sie band die alten Zeitungen zu einem Bündel.
She tied the old newspapers into a bundle.

to tie / bind
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to tie
To join or fasten something together with a ribbon, string, or something similar.
Sie band die alten Zeitungen zu einem Bündel.
She tied the old newspapers into a bundle.

The verb 'binden' (to tie / bind) is the root of many related words. 'Die Bindung' is the noun for the connection or relationship, and 'gebunden' is the participle that is often used as an adjective meaning 'obligated' or 'not free'.
Zwischen Mutter und Kind besteht eine starke Bindung.
There is a strong bond between mother and child.
'Binden' is a strong verb with the vowel change i-a-u. The past forms are 'band' (simple past) and 'hat gebunden' (present perfect).
Sie band sich einen Schal um den Hals.
She tied a scarf around her neck.
The reflexive form 'sich binden' means to enter into a firm commitment, usually emotionally or in a partnership. It describes the decision to limit one's own freedom in favor of a relationship.
Er hat Angst, sich zu früh zu binden.
He is afraid of committing himself too early.
In the context of cooking and recipes, 'binden' means to make a liquid thicker. Signal words for this are 'Soße' (sauce), 'Suppe' (soup), 'Stärke' (starch), or 'Mehl' (flour).
Ich binde die Bratensoße immer mit etwas Mondamin.
I always thicken the gravy with a little Mondamin.
The phrase 'an etwas gebunden sein' expresses an obligation. The preposition 'an' is used here with the accusative.
Ich würde gerne mitkommen, aber ich bin an eine frühere Zusage gebunden.
I would like to come along, but I am bound by an earlier commitment.
In the literal meaning, 'binden' is often used for joining things together. Typical examples are 'einen Blumenstrauß binden' (to tie/arrange a bouquet), 'einen Kranz binden' (to make/tie a wreath), or 'ein Buch binden' (to bind a book).
Zu Weihnachten binden wir jedes Jahr einen Adventskranz.
Every year at Christmas, we make an Advent wreath.
When 'Bücher' (books), 'Seiten' (pages), or an 'Arbeit' (paper/thesis, e.g. bachelor's thesis) are mentioned, 'binden' refers to the craft process of joining loose sheets into a fixed book.
Ich lasse meine Masterarbeit professionell binden.
I'm having my master's thesis professionally bound.
to connect / to bandage
'verbinden' and 'binden' can both mean that things come together or are held in place. However, 'binden' is used especially when you fasten something with a string, a ribbon, or a knot, for example shoes or a package. 'verbinden' is more general and means that two things are physically or technically connected. The words can be confused because in both cases something comes together. If a ribbon, string, or knot is important, 'binden' sounds more natural. If it is about a general connection between two parts, 'verbinden' fits better.

Vor dem Training bindet Max schnell seine Schuhe.
Before training, Max quickly ties his shoes.
Dieses Kabel verbindet den Laptop mit dem Bildschirm.
This cable connects the laptop to the screen.