SMALL SOCK APPLIQUÉ:

 Arrange your needles in appropriate configuration to work back and forth in either stockinette stitch or mock ribbing. (For simplicity, try it first with stockinette stitches and adapt mock ribbing later.)   If you do mock ribbing, have one extra needle on each edge for your sewing row.  Thus if removing every third needle (to appear as 1X2) you would have 3 needles in work, 1 space, *2 in work, 1 space, repeat from * for as many as you want wide, then finish with 3 needles in work.   I suggest using 20 for a first sample.  Use the tension spring, as you will work back and forth.  From your set-up, put on scrap yarn and knit a few rows back and forth to get everything working properly.  Attach working yarn to begin at either edge.

 Knit 2 rows & hang #2 on #1 or knit 8 or 10 rows and rehang row 1 to hem.  (If you prefer a picot edge, do 5, form edge, 5 more, then re-hang.) The fewer the stitches you use, the fewer the rows you should put in your hem-top. Knit from the length you want the leg.  (likely 12-20 rows) If you used mock ribbing, you can replace needles on the "sole" side of your sock if you want.  Or, you may want to place contrasting stripes or patterns in the leg heel/toe of your sock.

 Form a mock heel:  Stop with yarn carrier on the right side to have a sock which angles with the foot part to the right.  (Reverse if you want it to angle left.)  Pull up all needles out of work except for the leading four (on the right).  (You can do this part in contrasting color.)  Knit across, put one needle back into work, yarn behind the needle, knit back. (Now you have 5.)  Put one back into work.  Knit 6.  Put one back into work, yarn behind the needle, knit back on 7.  Put one back into work.  Knit 8.  Repeat to increase to 9, 10, 11, 12, 13, 14, 15 and 16. (Go back to main color if you used CC for "heel.")   When you have all but 4 or 5 needles back into work, knit across.

 Knit length of foot equal to length of "leg" or slightly shorter.  (If you used contrasting yarn for heel, you might want to use it to form the toe too.)   Decrease at each edge on every row til 4-5 stitches remain. (To decrease, move outside stitch over to next needle and remove empty needle.)  Bind off final four stitches; work in ends; sew onto item such as tote bags, jacket, hat, rug, shirt, etc.  On some items you may want to leave the top open to use the sock as a little pocket rather than sewing down completely.  If you plan to sew them down all the way around, the alternate rehung selvege can also be used to reduce bulk.  (Knit two rows hanging bars from row one onto needles of row two.)

 Use duplicate stitch for initials or logos, or see pattern for INTARSIA.