This　paper　investigates　the　issue　of　adaptive　finite-time　tracking　for　nonlinear　systems　with　both　quantized　input　and　states.　More　specially,　a　saturated　quantized　input　is　applied　for　the　input　quantization.　By　constructing　a　novel　high-gain　fuzzy　state　observer,　the　issues　of　unknown　nonlinearities　and　discontinuous　quantized　signals　are　addressed.　Then　an　adaptive　backstepping　controller　involving　the　fuzzy　logic　systems　is　developed.　It　is　verified　that,　with　the　designed　control　method,　all　signals　of　the　closed-loop　system　are　bounded,　and　the　tracking　error　can　be　made　small　by　choosing　the　design　parameters　suitably.　Finally,　a　simulation　example　is　studied　to　show　the　effectiveness　of　the　control　scheme.　©　2024　Technical　Committee　on　Control　Theory,　Chinese　Association　of　Automation.