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Debt (Details) (USD $)
0 Months Ended 1 Months Ended 3 Months Ended 12 Months Ended 1 Months Ended
Jun. 03, 2013
Aug. 29, 2014
Jan. 31, 2015
Nov. 01, 2014
Nov. 02, 2013
Apr. 30, 2011
Jun. 30, 2013
Jul. 22, 2014
Apr. 24, 2013
Debt Instrument [Line Items]                  
Debt Instrument, Maturity Date   Aug. 29, 2014              
Derivative, Inception Date       Oct. 28, 2014 Apr. 24, 2013        
Debt, covenant compliance     compliant with these covenants            
Debt Instrument, Covenant Description     The Term Loan Agreement contained a consolidated leverage ratio covenant of total consolidated funded debt to consolidated earnings before interest, taxes, depreciation, and amortization (EBITDA) of not greater than 3.0 to 1.0.            
Short-term Debt               $ 2,000,000,000us-gaap_ShortTermBorrowings  
Term Loan Interest Rate     interest at the Eurodollar Rate (as defined in the Term Loan Agreement) plus 1.00% (1.16% as of August 2, 2014). Payments of the principal amounts of revolving loans under the Term Loan Agreement were due no later than October 20, 2014            
Gain on Termination of Rate Lock Agreement 11,000,000adi_GainonTerminationofRateLockAgreement                
Derivative Instruments and Hedging Activities Disclosure [Abstract]                  
Long-term Debt, Maturities, Repayments of Principal after Year Five     500,000,000us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalAfterYearFive            
Swap, Payable [Member]                  
Derivative Instruments and Hedging Activities Disclosure [Abstract]                  
Company's principle payments related to its long-term debt obligations in 2016     375,000,000us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo
/ us-gaap_DerivativeByNatureAxis
= adi_SwapPayableMember
           
Senior Unsecured Three Percent Debt [Member]                  
Debt Instrument [Line Items]                  
Net proceeds of notes offering           370,500,000us-gaap_ProceedsFromIssuanceOfLongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= adi_SeniorUnsecuredThreePercentDebtMember
     
Debt Instrument, Maturity Date           Apr. 15, 2016      
Semi-annual fixed interest payments           semi-annual fixed interest payments due on April 15 and October 15 of each year, commencing October 15, 2011      
2.875% Senior unsecured notes due June 1, 2023 [Member]                  
Debt Instrument [Line Items]                  
Net proceeds of notes offering 493,900,000us-gaap_ProceedsFromIssuanceOfLongTermDebt
/ us-gaap_LongtermDebtTypeAxis
= adi_A2.875SeniorunsecurednotesdueJune12023Member
               
Debt Instrument, Maturity Date             Jun. 01, 2023    
Semi-annual fixed interest payments             semi-annual fixed interest payments due on June 1 and December 1 of each year, commencing December 1, 2013    
Fair Value, Measurements, Nonrecurring [Member] | Senior Unsecured Three Percent Debt [Member]                  
Debt Instrument [Line Items]                  
Aggregate principal amount issued for notes           375,000,000us-gaap_DebtInstrumentFaceAmount
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsNonrecurringMember
/ us-gaap_LongtermDebtTypeAxis
= adi_SeniorUnsecuredThreePercentDebtMember
     
Interest rate to be paid on long term notes           3.00%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsNonrecurringMember
/ us-gaap_LongtermDebtTypeAxis
= adi_SeniorUnsecuredThreePercentDebtMember
     
Fair Value, Measurements, Nonrecurring [Member] | 2.875% Senior unsecured notes due June 1, 2023 [Member]                  
Debt Instrument [Line Items]                  
Aggregate principal amount issued for notes $ 500,000,000us-gaap_DebtInstrumentFaceAmount
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsNonrecurringMember
/ us-gaap_LongtermDebtTypeAxis
= adi_A2.875SeniorunsecurednotesdueJune12023Member
               
Interest rate to be paid on long term notes 2.875%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsNonrecurringMember
/ us-gaap_LongtermDebtTypeAxis
= adi_A2.875SeniorunsecurednotesdueJune12023Member
               
Fair Value, Measurements, Nonrecurring [Member] | 10 year US Treasury rate of 1.7845% [Member]                  
Debt Instrument [Line Items]                  
Interest rate to be paid on long term notes                 0.00%us-gaap_DebtInstrumentInterestRateStatedPercentage
/ us-gaap_FairValueByMeasurementFrequencyAxis
= us-gaap_FairValueMeasurementsNonrecurringMember
/ us-gaap_LongtermDebtTypeAxis
= adi_A10yearUSTreasuryrateof1.7845Member
Senior Unsecured Three Percent Debt [Member] | Senior Notes [Member]                  
Debt Instrument [Line Items]                  
Debt Instrument, Covenant Compliance     compliant with these covenants