Setting boolean variable when checkbox is clicked

I got some HTML like so of a Bootstrap checkbox. By default the checkbox is on.

    <div id="full" class="checkbox">
        <label>
            <input type="checkbox" checked=""> Include Full Classes
        </label>
    </div>

I have this jQuery which detects whether the item is checked or non-checked

        var full;
        $('#full').change(function(){
            if(this.checked)
            {
                full = true;
                console.log(full);
            } else {
                full = false;
                console.log(full);
            }
        });

What I want to achieve is, when the checkbox is selected, it would set full to 1, and if it is unselected, set full to 0.

I performed console.log() to the full variable, and in my output, all I got was false.

I am wondering what I am doing wrong?

This is the thread I am referencing