How to capture a backspace on the onkeydown event

I have a function that is triggered by the onkeydown event of a textbox. How can I tell if the user has hit either the backspace key or the del key?

Try this:

document.addEventListener("keydown", KeyCheck);  //or however you are calling your method
function KeyCheck(event)
{
   var KeyID = event.keyCode;
   switch(KeyID)
   {
      case 8:
      alert("backspace");
      break; 
      case 46:
      alert("delete");
      break;
      default:
      break;
   }
}

Nowadays, code to do this should look something like:

document.getElementById('foo').addEventListener('keydown', function (event) {
    if (event.keyCode == 8) {
        console.log('BACKSPACE was pressed');

        // Call event.preventDefault() to stop the character before the cursor
        // from being deleted. Remove this line if you don't want to do that.
        event.preventDefault();
    }
    if (event.keyCode == 46) {
        console.log('DELETE was pressed');

        // Call event.preventDefault() to stop the character after the cursor
        // from being deleted. Remove this line if you don't want to do that.
        event.preventDefault();
    }
});

although in the future, once they are broadly supported in browsers, you may want to use the .key or .code attributes of the KeyboardEvent instead of the deprecated .keyCode.

Details worth knowing:

Calling event.preventDefault() in the handler of a keydown event will prevent the default effects of the keypress. When pressing a character, this stops it from being typed into the active text field. When pressing backspace or delete in a text field, it prevents a character from being deleted. When pressing backspace without an active text field, in a browser like Chrome where backspace takes you back to the previous page, it prevents that behaviour (as long as you catch the event by adding your event listener to document instead of a text field).
Documentation on how the value of the keyCode attribute is determined can be found in section B.2.1 How to determine keyCode for keydown and keyup events in the W3's UI Events Specification. In particular, the codes for Backspace and Delete are listed in B.2.3 Fixed virtual key codes.
There is an effort underway to deprecate the .keyCode attribute in favour of .key and .code. The W3 describe the .keyCode property as "legacy", and MDN as "deprecated".

One benefit of the change to .key and .code is having more powerful and programmer-friendly handling of non-ASCII keys - see the specification that lists all the possible key values, which are human-readable strings like "Backspace" and "Delete" and include values for everything from modifier keys specific to Japanese keyboards to obscure media keys. Another, which is highly relevant to this question, is distinguishing between the meaning of a modified keypress and the physical key that was pressed.

On small Mac keyboards, there is no Delete key, only a Backspace key. However, pressing Fn+Backspace is equivalent to pressing Delete on a normal keyboard - that is, it deletes the character after the text cursor instead of the one before it. Depending upon your use case, in code you might want to handle a press of Backspace with Fn held down as either Backspace or Delete. That's why the new key model lets you choose.

The .key attribute gives you the meaning of the keypress, so Fn+Backspace will yield the string "Delete". The .code attribute gives you the physical key, so Fn+Backspace will still yield the string "Backspace".

Unfortunately, as of writing this answer, they're only supported in 18% of browsers, so if you need broad compatibility you're stuck with the "legacy" .keyCode attribute for the time being. But if you're a reader from the future, or if you're targeting a specific platform and know it supports the new interface, then you could write code that looked something like this:
```
document.getElementById('foo').addEventListener('keydown', function (event) {
    if (event.code == 'Delete') {
        console.log('The physical key pressed was the DELETE key');
    }
    if (event.code == 'Backspace') {
        console.log('The physical key pressed was the BACKSPACE key');
    } 
    if (event.key == 'Delete') {
        console.log('The keypress meant the same as pressing DELETE');
        // This can happen for one of two reasons:
        // 1. The user pressed the DELETE key
        // 2. The user pressed FN+BACKSPACE on a small Mac keyboard where
        //    FN+BACKSPACE deletes the character in front of the text cursor,
        //    instead of the one behind it.
    }
    if (event.key == 'Backspace') {
        console.log('The keypress meant the same as pressing BACKSPACE');
    }
});
```

event.key === "Backspace" or "Delete"

More recent and much cleaner: use event.key. No more arbitrary number codes!

input.addEventListener('keydown', function(event) {
    const key = event.key; // const {key} = event; ES6+
    if (key === "Backspace" || key === "Delete") {
        return false;
    }
});

Mozilla Docs

Supported Browsers

In your function check for the keycode 8 (backspace) or 46 (delete)

Keycode information
Keycode list

How to capture a backspace on the onkeydown event

event.key === "Backspace" or "Delete"

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