Index: wp-includes/default-widgets.php
===================================================================
--- wp-includes/default-widgets.php	(revision 18641)
+++ wp-includes/default-widgets.php	(working copy)
@@ -220,8 +220,8 @@
 
 	function widget( $args, $instance ) {
 		extract($args);
-		$c = $instance['count'] ? '1' : '0';
-		$d = $instance['dropdown'] ? '1' : '0';
+		$c = ( ! empty( $instance['count'] ) ) ? '1' : '0';
+		$d = ( ! empty( $instance['dropdown'] ) ) ? '1' : '0';
 		$title = apply_filters('widget_title', empty($instance['title']) ? __('Archives') : $instance['title'], $instance, $this->id_base);
 
 		echo $before_widget;
@@ -426,9 +426,9 @@
 		extract( $args );
 
 		$title = apply_filters('widget_title', empty( $instance['title'] ) ? __( 'Categories' ) : $instance['title'], $instance, $this->id_base);
-		$c = $instance['count'] ? '1' : '0';
-		$h = $instance['hierarchical'] ? '1' : '0';
-		$d = $instance['dropdown'] ? '1' : '0';
+		$c = ( ! empty( $instance['count'] ) ) ? '1' : '0';
+		$h = ( ! empty( $instance['hierarchical'] ) ) ? '1' : '0';
+		$d = ( ! empty( $instance['dropdown'] ) ) ? '1' : '0';
 
 		echo $before_widget;
 		if ( $title )