<?xml version="1.0" encoding="us-ascii"?>
<!-- DFIN ActiveDisclosure(SM) XBRL Schema Document - http://www.dfinsolutions.com/ -->
<!-- Creation Date      : 2020-08-20T22:18:23.9175308+00:00 -->
<!-- Version            : 5.0.1.476 -->
<!-- Package ID         : a94ae6811783462ca40be594767b07c6 -->
<!-- Copyright (c) 2020 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
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  <xsd:element id="syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardsForfeituresInPeriod" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardsForfeituresInPeriod" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardFungibleSharesRatioAdjustment" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardFungibleSharesRatioAdjustment" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesUnavailableForGrantUponExpirationOfPlan" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesUnavailableForGrantUponExpirationOfPlan" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesCancelled" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesCancelled" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_TwoThousandNineteenMember" name="TwoThousandNineteenMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_TwoThousandTenMember" name="TwoThousandTenMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_TwoThousandNineteenEmployeeInducementEquityPlanMember" name="TwoThousandNineteenEmployeeInducementEquityPlanMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_TwoThousandNineteenEmployeeStockPurchasePlanMember" name="TwoThousandNineteenEmployeeStockPurchasePlanMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_TwoThousandTenEmployeeStockPurchasePlanMember" name="TwoThousandTenEmployeeStockPurchasePlanMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <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_PercentageOfFairMarketValueForWhichExercisePriceIsDesignatedOnIncentiveAndNonqualifiedStockOptionGrants" name="PercentageOfFairMarketValueForWhichExercisePriceIsDesignatedOnIncentiveAndNonqualifiedStockOptionGrants" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardOptionsGranted" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardOptionsGranted" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_StockOptionsInTheMoneyVestingPercentage" name="StockOptionsInTheMoneyVestingPercentage" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardIntrinsicValueClosingPrice" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardIntrinsicValueClosingPrice" type="num:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsGrantDateFairValuePerShare" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsGrantDateFairValuePerShare" type="num:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_SoxIndexMember" name="SoxIndexMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGranted" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGranted" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateMarketValue" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsAggregateMarketValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="syna_PercentageOfPotentialPayout" name="PercentageOfPotentialPayout" type="num:percentItemType" 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_OctoberAndDecemberTwoThousandSeventeenMSUGrantsMember" name="OctoberAndDecemberTwoThousandSeventeenMSUGrantsMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_NovemberTwoThousandFifteenMSUGrantsMember" name="NovemberTwoThousandFifteenMSUGrantsMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_OctoberTwoThousandSixteenMSUGrantsMember" name="OctoberTwoThousandSixteenMSUGrantsMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsPerformanceAdjustmentWeightedAverageGrantDateFairValue" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsPerformanceAdjustmentWeightedAverageGrantDateFairValue" type="num:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_TsrDecreaseInPercentagePoints" name="TsrDecreaseInPercentagePoints" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_DeliveryOfTargetedSharesInPercentageDeliveredByEntity" name="DeliveryOfTargetedSharesInPercentageDeliveredByEntity" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsMethodCorrelationCoefficient" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsMethodCorrelationCoefficient" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_ThresholdPercentageOfEarningsPerShareToTriggerPayOut" name="ThresholdPercentageOfEarningsPerShareToTriggerPayOut" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_StockPurchasesUnderEmployeeStockPurchasePlanAsCompensationMaximumSubjectToLegalRestrictionsAndLimitations" name="StockPurchasesUnderEmployeeStockPurchasePlanAsCompensationMaximumSubjectToLegalRestrictionsAndLimitations" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_EmployeeCommonStockPurchasesThroughPayrollDeductionsUnderEmployeeStockPurchasePlanPriceAsPercentageOfFairMarketValue" name="EmployeeCommonStockPurchasesThroughPayrollDeductionsUnderEmployeeStockPurchasePlanPriceAsPercentageOfFairMarketValue" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_OfferingPeriodExtendsUnderEmployeeStockPurchasePlan" name="OfferingPeriodExtendsUnderEmployeeStockPurchasePlan" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsMinimumHistoricalTerm" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsMinimumHistoricalTerm" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_PeriodOverWhichShareBasedCompensationIsAmortizedDuration" name="PeriodOverWhichShareBasedCompensationIsAmortizedDuration" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_DefinedContributionPlansEligibleEmployeeContributionsEmployeesFiftyAndOverAnnualLimit" name="DefinedContributionPlansEligibleEmployeeContributionsEmployeesFiftyAndOverAnnualLimit" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="syna_ContributionsByEmployerMatchingContributions" name="ContributionsByEmployerMatchingContributions" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <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_IncomeLossFromOperationsBeforeProvisionBenefitForIncomeTaxesLineItems" name="IncomeLossFromOperationsBeforeProvisionBenefitForIncomeTaxesLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_IncomeLossFromOperationsBeforeProvisionBenefitForIncomeTaxesTable" name="IncomeLossFromOperationsBeforeProvisionBenefitForIncomeTaxesTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_NetOperatingLossBeginningOfExpirationPeriod" name="NetOperatingLossBeginningOfExpirationPeriod" type="xbrli:gYearItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_UnrecognizedTaxBenefitsDecreasesResultingFromRemeasurement" name="UnrecognizedTaxBenefitsDecreasesResultingFromRemeasurement" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <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_InternetOfThingsAndMobilePCProductApplicationsMember" name="InternetOfThingsAndMobilePCProductApplicationsMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <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_CustomerEMember" name="CustomerEMember" 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:element id="syna_NovemberTwoThousandSeventeenAndAprilTwoThousandEighteenRestructuringPlanMember" name="NovemberTwoThousandSeventeenAndAprilTwoThousandEighteenRestructuringPlanMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_FacilityConsolidationAndRelatedChargesMember" name="FacilityConsolidationAndRelatedChargesMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_TransitionServicesAgreementPeriod" name="TransitionServicesAgreementPeriod" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="syna_BroadcomMember" name="BroadcomMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_DisplayLinkCorporationMember" name="DisplayLinkCorporationMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_HuaweiTechnologiesMember" name="HuaweiTechnologiesMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="syna_ExportAdministrationRegulationMember" name="ExportAdministrationRegulationMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
</xsd:schema>
