This is kind of difficult to explain without a visual-aid, but to convert from a newman projection to the fischer, you just keep what the "Y" shaped is on the front carbon and put that onto the fischer. Then the back carbon you just switch the groups. This will retain the stereochemistry. As for interconverting between a planar depiction of a cyclohexane into its chair confirmation, you just keep the substituent numbers the same on the chair and make sure you keep the stereochemistry. For example if it is a cis, 1-2-cyclohexandiol on the flat structure, just put an OH group on the chair either axial or equatorial first, it is arbitrary where you put it. If you put the OH on the axial on lets say the top right tip of the chair, then the second OH would go on the carbon directly down from it, but that on is in the equatorial position. That would be cis. Or you could put the top OH on the tip equatorial first, then the carbon below that put it in the axial. That would also be cis. There is many ways you can do this and it does not matter which way you decide. Hope that helps.