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Stock-Based Compensation (Details) (USD $)
Share data in Thousands, except Per Share data, unless otherwise specified
 3 Months Ended 6 Months Ended
May 02, 2015
May 03, 2014
May 02, 2015
May 03, 2014
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
MarketBasedRestrictedStockUnitsGranted     $ 75,000adi_MarketBasedRestrictedStockUnitsGranted $ 86,000adi_MarketBasedRestrictedStockUnitsGranted
Stock Options        
Options granted (in shares) 1,853us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod 2,094us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod 1,908us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod 2,110us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod
Weighted-average exercise price (in dollars per share) $ 57.28adi_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionGrantsInPeriodWeightedAverageExercisePrice $ 51.74adi_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionGrantsInPeriodWeightedAverageExercisePrice $ 57.11adi_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionGrantsInPeriodWeightedAverageExercisePrice $ 51.72adi_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionGrantsInPeriodWeightedAverageExercisePrice
Weighted-average grant date fair value (in dollars per share) $ 10.41us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue $ 9.00us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue $ 10.33us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue $ 8.99us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
Assumptions:        
Weighted-average expected volatility 25.90%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate 24.90%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate 25.80%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate 24.90%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate
Weighted-average expected term (in years) 5 years 110 days 5 years 110 days 5 years 110 days 5 years 110 days
Weighted-average risk-free interest rate 1.60%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate 1.70%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate 1.60%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate 1.70%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
Weighted-average expected dividend yield 2.80%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate 2.90%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate 2.80%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate 2.90%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
Summary of the activity under the Company's stock option plans        
Options outstanding, at beginning of period (in shares) 12,830us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber   14,184us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber  
Options granted (in shares) 1,853us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod 2,094us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod 1,908us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod 2,110us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriod
Options exercised (in shares) (1,581)us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised   (2,914)us-gaap_StockIssuedDuringPeriodSharesStockOptionsExercised  
Options forfeited (in shares) (22)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod   (79)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsForfeituresInPeriod  
Options expired (in shares) (3)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExpirationsInPeriod   (22)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExpirationsInPeriod  
Options outstanding, at end of period (in shares) 13,077us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber   13,077us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber  
Options exercisable (in shares) 7,201us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber   7,201us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableNumber  
Options vested or expected to vest (in shares) 12,510us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingNumber [1]   12,510us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingNumber [1]  
Options outstanding, Weighted-Average Exercise Price Per Share, at beginning of period $ 37.72us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice   $ 37.20us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice  
Options granted, Weighted-Average Exercise Price Per Share $ 57.28us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice   $ 57.11us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsGrantsInPeriodWeightedAverageExercisePrice  
Options exercised, Weighted-Average Exercise Price Per Share $ 33.06us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice   $ 32.79us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExercisesInPeriodWeightedAverageExercisePrice  
Options forfeited, Weighted-Average Exercise Price Per Share $ 47.79us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice   $ 45.30us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsForfeituresInPeriodWeightedAverageExercisePrice  
Options expired, Weighted-Average Exercise Price Per Share $ 39.81us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExpirationsInPeriodWeightedAverageExercisePrice   $ 36.52us-gaap_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsExpirationsInPeriodWeightedAverageExercisePrice  
Options outstanding, Weighted-Average Exercise Price Per Share, at end of period $ 41.04us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice   $ 41.04us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingWeightedAverageExercisePrice  
Options exercisable, Weighted-Average Exercise Price Per Share $ 33.90us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice   $ 33.90us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisableWeightedAverageExercisePrice  
Options vested or expected to vest, Weighted-Average Exercise Price Per Share $ 40.56us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingWeightedAverageExercisePrice [1]   $ 40.56us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingWeightedAverageExercisePrice [1]  
Options outstanding, Weighted-Average Remaining Contractual Term in Years 6 years 146 days      
Options exercisable, Weighted-Average Remaining Contractual Term in Years 4 years 256 days      
Options vested or expected to vest, Weighted-Average Remaining Contractual Term in Years 6 years 110 days [1]      
Options outstanding, Aggregate Intrinsic Value 290,757,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue   290,757,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingIntrinsicValue  
Options exercisable, Aggregate Intrinsic Value 211,483,000us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1   211,483,000us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsExercisableIntrinsicValue1  
Options vested or expected to vest, Aggregate Intrinsic Value 284,097,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingAggregateIntrinsicValue [1]   284,097,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedAndExpectedToVestOutstandingAggregateIntrinsicValue [1]  
Summary of the Company's restricted stock unit award activity        
Restricted stock units outstanding, at beginning of period (in shares) 2,966us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber   3,188us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber  
Units granted (in shares) 680us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod   776us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod  
Restrictions lapsed (in shares) (756)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod   (1,006)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod  
Forfeited (in shares) (20)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod   (88)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod  
Restricted stock units outstanding, at end of period (in shares) 2,870us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber   2,870us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber  
Restricted stock units outstanding, Weighted-Average Grant Date Fair Value Per Share, at beginning of period $ 43.37us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue   $ 43.46us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue  
Units granted, Weighted-Average Grant Date Fair Value Per Share $ 53.02us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue   $ 51.91us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue  
Restrictions lapsed, Weighted-Average Grant Date Fair Value Per Share $ 37.57us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue   $ 39.27us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue  
Forfeited, Weighted-Average Grant Date Fair Value Per Share $ 46.33adi_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionForfeitedInPeriodWeightedAverageGrantDateFairValue   $ 45.13adi_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionForfeitedInPeriodWeightedAverageGrantDateFairValue  
Restricted stock units outstanding, Weighted-Average Grant Date Fair Value Per Share, at end of period $ 47.17us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue   $ 47.17us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue  
Stock-Based Compensation (Textual) [Abstract]        
Annual forfeiture rate 4.70%adi_AnnualForfeitureRate   4.70%adi_AnnualForfeitureRate  
Total intrinsic value of options exercised 42,800,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue 42,900,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue 72,900,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue 87,800,000us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsExercisesInPeriodTotalIntrinsicValue
Proceeds (cash) received from exercise of options 52,100,000us-gaap_ProceedsFromStockOptionsExercised 62,900,000us-gaap_ProceedsFromStockOptionsExercised 94,900,000us-gaap_ProceedsFromStockOptionsExercised 142,500,000us-gaap_ProceedsFromStockOptionsExercised
Total grant-date fair value of vested stock options 42,100,000adi_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedInPeriodWeightedAverageGrantDateFairValue 12,700,000adi_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedInPeriodWeightedAverageGrantDateFairValue 58,800,000adi_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedInPeriodWeightedAverageGrantDateFairValue 52,200,000adi_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsVestedInPeriodWeightedAverageGrantDateFairValue
Total unrecognized compensation cost related to unvested share-based awards, before tax consideration $ 141,500,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized   $ 141,500,000us-gaap_EmployeeServiceShareBasedCompensationNonvestedAwardsTotalCompensationCostNotYetRecognized  
Employee Service Share-based Compensation, Nonvested Awards, Total Compensation Cost Not yet Recognized, Period for Recognition 1 year 183 days      
Market Based Restricted stock Minimum issued upon vesting 0.00%adi_MarketBasedRestrictedstockMinimumissueduponvesting   0.00%adi_MarketBasedRestrictedstockMinimumissueduponvesting  
Market Based Restricted Stock Maximum issued upon Vesting 200.00%adi_MarketBasedRestrictedStockMaximumissueduponVesting   200.00%adi_MarketBasedRestrictedStockMaximumissueduponVesting  
MarketBasedRestrictedStockUnitsGrantDateFairValue     $ 55.67adi_MarketBasedRestrictedStockUnitsGrantDateFairValue $ 50.79adi_MarketBasedRestrictedStockUnitsGrantDateFairValue
MarketBasedRestrictedStockUnitsVolatilityAssumption     20.00%adi_MarketBasedRestrictedStockUnitsVolatilityAssumption 23.20%adi_MarketBasedRestrictedStockUnitsVolatilityAssumption
MarketBasedRestrictedStockUnitRiskFreeInterestRateAssumption     1.10%adi_MarketBasedRestrictedStockUnitRiskFreeInterestRateAssumption 0.80%adi_MarketBasedRestrictedStockUnitRiskFreeInterestRateAssumption
MarketBasedRestrictedStockUnitDividendYieldAssumption     2.80%adi_MarketBasedRestrictedStockUnitDividendYieldAssumption 2.80%adi_MarketBasedRestrictedStockUnitDividendYieldAssumption
Stock Options [Member]        
Stock-Based Compensation (Textual) [Abstract]        
Vesting Period     5 years 0 days  
Restricted Stock Units (RSUs) [Member]        
Stock-Based Compensation (Textual) [Abstract]        
Vesting Period     3 years 0 days  
[1] (1)In addition to the vested options, the Company expects a portion of the unvested options to vest at some point in the future. The number of options expected to vest is calculated by applying an estimated forfeiture rate to the unvested o