JPEG vs PNG vs BMP vs GIF vs SVG

I would like to know which one of these formats requires less memory for the same quality of the picture, and what are the main differences between these formats.

From What is the difference between TIFF, GIF, JPG, JPEG, PNG, and a BMP file?

BMP - Bitmap. This was probably the first type of digital image format that I can remember. Every picture on a computer seemed those days to be a BMP. In Windows XP the Paint program saves its images automatically in BMP. However, in Windows Vista and later images are now saved to JPEG. BMP is the basis platform for many other file types.

JPG / JPEG - (Joint Photographic Experts Group) Jpeg format is used for color photographs, or any pictures with many blends or gradients. It is not good with sharp edges and tends to blur them a bit unless stored at high quality. This format became popular with the invention of the digital camera. Most, if not all, digital cameras download photos to your computer as a Jpeg file. Obviously the digital camera manufacturers see the value in high quality images that ultimately take up less space.

GIF - (Graphics Interchange Format) Gif format is best used for text, line drawings, screenshots, cartoons, and animations. Gif is limited to a total number of 256 colors or less, so Gif images are relatively small. It is commonly used for fast loading web pages. It also makes a great banner or logo for your web-page. Animated pictures can also be saved in GIF format as a sequence of static images. For example, a flashing banner would be saved as a Gif file.

PNG - (Portable Networks Graphic) This lossless formats is one of the best image formats. It was not always compatible with all web browsers or image software, but nowadays it is the best image format to use for website. I use .png for logos and screenshots. One of its most astonishing abilities is being able to compress images losslessly (without loss of pixels), although the final compressed size varies between image editors.

TIFF - (Tagged Image File Format) This file format has not been updated since 1992 and is now owned by Adobe. It can store an image and data (tags) in the one file. TIFF can be compressed, but it is rather its ability to store image data in a lossless format that makes a TIFF file a useful image archive, because unlike standard JPEG files, a TIFF file using lossless compression (or none) may be edited and re-saved without losing image quality. This file is commonly used for scanning, faxing, word processing, and so on. It is no longer a common file format to use with your digital photos, as jpeg is great quality and takes up less space.

In xkcd style from lbrandy.com: