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Acquisitions (Details)
$ / shares in Units, $ in Thousands, shares in Millions
12 Months Ended 15 Months Ended
Jul. 22, 2014
USD ($)
$ / shares
Oct. 31, 2015
USD ($)
segment
$ / shares
shares
Nov. 01, 2014
USD ($)
$ / shares
shares
Nov. 02, 2013
USD ($)
Oct. 31, 2015
USD ($)
$ / shares
Business Acquisition [Line Items]          
Business Acquisition, Equity Interest Issued or Issuable, Number of Shares | shares   0.7 0.7    
Grant date fair value of restricted stock units issued in connection with Acquisition | $ / shares $ 48.20        
Business Combination, Acquired Receivables, Gross Contractual Amount $ 37,300        
Business Combination, Acquired Receivables, Estimated Uncollectible 300        
Number of reportable segments | segment   1      
Number of operating segments | segment   6      
Short-term Debt $ 2,000,000        
Common Stock, Par or Stated Value Per Share | $ / shares $ 0.01 $ 0.166 $ 0.166   $ 0.166
Business Acquisition, Share Price | $ / shares $ 78.00        
Initial cash payments $ 2,400,000        
Business Acquisition Contingent Consideration Cash Payment [1]   $ 2,000 $ 4,000    
BusinessAcquisitionPurchasePriceAllocationIntangibleAssetsNotAmortizable1 900        
Payments to Acquire Businesses, Net of Cash Acquired   7,065 1,945,887 $ 2,475  
Developed technology   666,600 666,600   $ 666,600
Acquisition related costs   9,700 $ 41,200   50,900
Hittite Microwave Corporation [Member]          
Business Acquisition [Line Items]          
Business Acquisition, Effective Date of Acquisition     Jul. 22, 2014    
Fair value of replacement share-based awards 6,541        
Accounts receivable 36,991        
Intangible assets 666,400 665,500     $ 665,500
Fair value of the consideration transferred totaled 2,424,446   $ 2,400,000    
Short-term Debt 2,000,000        
Initial cash payments 2,430,987        
Goodwill acquired   (1,105) 1,357,077    
Deferred tax assets 2,242        
Deferred tax liabilities $ 276,683        
Selling, Marketing, General and Administrative Expense [Member]          
Business Acquisition [Line Items]          
Acquisition related costs   $ 9,700 33,300    
Nonoperating Income (Expense) [Member]          
Business Acquisition [Line Items]          
Acquisition related costs     $ 7,900    
[1] Recorded in research and development expense in the consolidated statements of income.