SVG — the SVG format — is essentially separate from JPG. JPG encodes pictures as a raster of pixels, SVG encodes illustrations as mathematical descriptions of shapes, lines and colors. This means SVG images work at all sizes — from a small icon to a massive print — with no quality loss.
Changing JPG to SVG is a process referred to as raster to vector conversion, and it is very beneficial for icons and clean graphics.
Prior to converting JPG to SVG, it is important to realize what happens. JPG files are a pixel-based image — a fixed grid of image pixels. SVG files are a mathematical image — a collection of paths that a browser displays as the graphic.
This works extremely well for uncomplicated graphics with defined shapes and limited colors — icons, logos, symbols and line art. It works less well for detailed photographs with fine website detail.
For professional results, Illustrator's Image Trace feature gives the most flexibility. Load the image in Illustrator, click the graphic, open the Image Trace panel and select an appropriate preset.
Try alljpgconverters.com offering a completely free online JPG to SVG converter without software needed.