1. Qba'g qrgrezvar gur pbhagevrf gurfr syntf pbzr sebz. Vg'f abg vzcbegnag. 2. Pbzcner gur syntf va gur evtug unaqf bs nyy fnvybef. Qb gur fnzr sbe gur syntf va nyy bs gurve yrsg unaqf. 3. Gur syntf va gur fnvybef' yrsg unaqf nyy unir na ryrzrag va pbzzba. 4. Nyy syntf va gur evtug unaqf ercerfrag n funcr sebz n jryy-xabja frg bs funcrf. 5. Gurer ner 4 funcrf gb gur frg zragvbarq va gur ynfg uvag. 6. Gur funcrf ner +, -, k, / — v.r. zngurzngvpny bcrengvbaf. 7. Pbhag nyy gur fgnef va gur syntf va gur yrsg unaqf. 8. Gurer ner fvk fgnef va gur ynfg synt bs gur svefg ebj. 9. Ghea gur frzncuber yrggref vagb ahzoref. N=1, rgp. 10. Cresbez gur zngurzngvpny bcrengvba: frzncuber yrggre [cyhf, zvahf, qvivqrq ol, be gvzrf] ahzore bs fgnef. Sbe rknzcyr, gur svefg fnvybe vf va na Z funcr, juvpu vf gur 13gu yrggre. Uvf evtug-unaq synt fubjf n cyhf. Uvf yrsg-unaq synt unf 8 fgnef. Fb gur bcrengvba gb qb vf 13 + 8, juvpu vf 21. 11. Genafyngr nyy gubfr ahzoref (gur erfhygf bs gur zngu bcrengvbaf) gb yrggref. 12. Gur fnvybef fcryy bhg HFN EHFFVN PUVAN. 13. Fb… pbhag gur fgnef va gur HFN synt naq Puvan synt, naq ybbx ng gur bcrengvba va gur Ehffvna synt.