If are a new blogger,you may have seen an email subscrtiption form like the below one in other blogs while browsing.

So,Let's see how to add a "Email Subscription form" like that in your blog:
1.First,Sign in to your FeedBurner account.If you don't have a FeedBurner account yet,you can register it here
2.Click on the "My Feeds" link at the top of the page and next ,click on your blog name[look at the below screenshot]

3.Next,Click on the 'Publicize' tab as shown below.

4.Select the "Email Subscriptions" option[look at the left sidebar]

5.Next, you will see like this

Click on 'Activate'
6.If you look at the sidebar now,there are a few more options under the Email Subscriptions column namely Subscription Management,Communication Preferences,Email Branding and Delivery options.Edit them according to your needs.

Sign in to your blogger dashboard>layout>add a page element>html/javascript
and paste the code and SAVE THE CHANGES.
That's it!..........too long process know? No.Very simple process to do.