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Revolving Credit Facility (Details) (USD $)
3 Months Ended 12 Months Ended
Jan. 31, 2015
Nov. 01, 2014
Feb. 02, 2013
Line of Credit Facility [Line Items]      
Line of credit facility term   5 years  
Revolving Credit Facility (Textual) [Abstract]      
Cash and cash equivalents and short-term investments $ 2,900,000,000us-gaap_CashCashEquivalentsAndShortTermInvestments    
Cash and cash equivalents and short-term investments held in United States 741,000,000adi_CashAndCashEquivalentsAndShortTermInvestmentsHeldInUnitedStates    
Unsecured revolving credit facility     $ 500,000,000us-gaap_LineOfCreditFacilityMaximumBorrowingCapacity
Covenant terms, line of credit consolidated earnings before interest, taxes, depreciation, and amortization (EBITDA) of not greater than 3.0 to 1.0    
Line of credit facility, covenant compliance compliant with these covenants