<?xml version="1.0" encoding="us-ascii"?>
<!-- DFIN ActiveDisclosure(SM) XBRL Schema Document - http://www.dfinsolutions.com/ -->
<!-- Creation Date      : 2020-02-04T19:29:13.2604330+00:00 -->
<!-- Version            : 5.0.1.321 -->
<!-- Package ID         : b88db53e68ed4730971e428a67b9026b -->
<!-- Copyright (c) 2020 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
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  <xsd:element id="syna_LicensedTechnologyAndOtherMember" name="LicensedTechnologyAndOtherMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_LeaseExpirationYear" name="LeaseExpirationYear" type="xbrli:gYearItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_TotalOperatingLeaseLiabilities" name="TotalOperatingLeaseLiabilities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="syna_CustomerObligation" name="CustomerObligation" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="syna_AccruedLiabilitiesForInventoryPurchase" name="AccruedLiabilitiesForInventoryPurchase" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="syna_ProceedsFromIssuanceOfConvertibleDebt" name="ProceedsFromIssuanceOfConvertibleDebt" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="syna_ZeroPointFiveZeroPercentConvertibleSeniorNotesDueTwoThousandTwentyTwoMember" name="ZeroPointFiveZeroPercentConvertibleSeniorNotesDueTwoThousandTwentyTwoMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_AmendmentAndRestatementAgreementMember" name="AmendmentAndRestatementAgreementMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_ForFourFiscalQuartersEndingAfterDateOfMaterialAcquisitionMember" name="ForFourFiscalQuartersEndingAfterDateOfMaterialAcquisitionMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_ThereafterMember" name="ThereafterMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_ConvertibleDebtPrincipalAmountInMultiples" name="ConvertibleDebtPrincipalAmountInMultiples" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="syna_DebtInstrumentConvertibleNumberOfSharesPerThousandOfPrincipalAmountOfNotes" name="DebtInstrumentConvertibleNumberOfSharesPerThousandOfPrincipalAmountOfNotes" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_PercentageOfPrincipalAmountOfNotesEqualToRepurchasePrice" name="PercentageOfPrincipalAmountOfNotesEqualToRepurchasePrice" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_NonconvertibleDebtBorrowingRate" name="NonconvertibleDebtBorrowingRate" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="syna_DebtInstrumentInitialPurchasersDiscount" name="DebtInstrumentInitialPurchasersDiscount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="syna_DebtInstrumentLegalAccountingAndPrintingCosts" name="DebtInstrumentLegalAccountingAndPrintingCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="syna_ConvertibleDebtIssuanceCostsProRataToEquityComponents" name="ConvertibleDebtIssuanceCostsProRataToEquityComponents" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="syna_ConvertibleDebtIssuanceCostsProRataToDebtComponents" name="ConvertibleDebtIssuanceCostsProRataToDebtComponents" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="syna_DebtInstrumentAmortizationPeriod" name="DebtInstrumentAmortizationPeriod" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_LineOfCreditFacilityAllowableRequestsForAdditionalBorrowing" name="LineOfCreditFacilityAllowableRequestsForAdditionalBorrowing" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="syna_LineOfCreditFacilityRepaymentDateDescription" name="LineOfCreditFacilityRepaymentDateDescription" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_PercentageOfVotingCapitalStockOfCertainForeignSubsidiariesCollateralized" name="PercentageOfVotingCapitalStockOfCertainForeignSubsidiariesCollateralized" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_MaximumAccountsReceivableFinancings" name="MaximumAccountsReceivableFinancings" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="syna_MaximumPermittedLeverageRatio" name="MaximumPermittedLeverageRatio" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="syna_FixedCoverageRatio" name="FixedCoverageRatio" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_MinimumInterestCoverageRatio" name="MinimumInterestCoverageRatio" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_EmployeeServiceShareBasedCompensationTaxBenefitExpenseFromCompensationExpense" name="EmployeeServiceShareBasedCompensationTaxBenefitExpenseFromCompensationExpense" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="syna_EmployeeStockPurchasePlanMember" name="EmployeeStockPurchasePlanMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_TwoThousandNineteenEquityAndIncentiveCompensationPlanMember" name="TwoThousandNineteenEquityAndIncentiveCompensationPlanMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_TwoThousandNineteenInducementEquityPlanMember" name="TwoThousandNineteenInducementEquityPlanMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardIntrinsicValueClosingPrice" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardIntrinsicValueClosingPrice" type="num:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsAdjustmentsForPerformanceResultsAttained" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsAdjustmentsForPerformanceResultsAttained" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_PotentialPayoutAdjustmentRatio" name="PotentialPayoutAdjustmentRatio" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_PercentageOfPotentialPayout" name="PercentageOfPotentialPayout" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_ShareBasedCompensationAwardTrancheFourMember" name="ShareBasedCompensationAwardTrancheFourMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_ThreeYearPerformanceMember" name="ThreeYearPerformanceMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_FourYearPerformanceMember" name="FourYearPerformanceMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_ThresholdPercentageOfEarningsPerShareToTriggerPayOut" name="ThresholdPercentageOfEarningsPerShareToTriggerPayOut" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_IncomeTaxDisclosureLineItems" name="IncomeTaxDisclosureLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_IncomeTaxDisclosureTable" name="IncomeTaxDisclosureTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_IncreaseDecreaseInUnrecognizedTaxBenefitIncomeTaxPenaltiesAndInterestAccrued" name="IncreaseDecreaseInUnrecognizedTaxBenefitIncomeTaxPenaltiesAndInterestAccrued" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="syna_NumberOfProductCategories" name="NumberOfProductCategories" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_OtherForeignCountryMember" name="OtherForeignCountryMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_MobileProductApplicationsMember" name="MobileProductApplicationsMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_PcProductApplicationsMember" name="PcProductApplicationsMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_InternetOfThingsProductApplicationsMember" name="InternetOfThingsProductApplicationsMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_CustomerAMember" name="CustomerAMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_CustomerBMember" name="CustomerBMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_CustomerCMember" name="CustomerCMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_CustomerDMember" name="CustomerDMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_FiscalTwoThousandTwentyRestructuringPlanMember" name="FiscalTwoThousandTwentyRestructuringPlanMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_EmployeeSeveranceAndBenefitsMember" name="EmployeeSeveranceAndBenefitsMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_FiscalTwoThousandNineteenRetructucturingPlanMember" name="FiscalTwoThousandNineteenRetructucturingPlanMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
</xsd:schema>
