Acquisitions (Details) (USD $) Share data in Millions, except Per Share data, unless otherwise specified	0 Months Ended	3 Months Ended	12 Months Ended					0 Months Ended	3 Months Ended	12 Months Ended			3 Months Ended	12 Months Ended			0 Months Ended	3 Months Ended	12 Months Ended	9 Months Ended	12 Months Ended		12 Months Ended
	Jul. 22, 2014	Aug. 02, 2014	Nov. 01, 2014 segment		Nov. 02, 2013	Nov. 03, 2012	Jul. 22, 2014	Jul. 22, 2014 Hittite Microwave Corporation [Member]	Aug. 02, 2014 Hittite Microwave Corporation [Member]	Nov. 01, 2014 Hittite Microwave Corporation [Member]	Nov. 02, 2013 Hittite Microwave Corporation [Member]	Jul. 22, 2014 Hittite Microwave Corporation [Member]	Nov. 01, 2014 Metroic Limited [Member]	Nov. 01, 2014 Metroic Limited [Member]	Nov. 02, 2013 Metroic Limited [Member]	Sep. 19, 2014 Metroic Limited [Member]	Mar. 30, 2012 Multigig Inc [Member]	Nov. 01, 2014 Multigig Inc [Member]	Nov. 01, 2014 Multigig Inc [Member]	Jul. 30, 2011 Lyric Semiconductor, Inc [Member]	Nov. 01, 2014 Lyric Semiconductor, Inc [Member]	Jun. 09, 2011 Lyric Semiconductor, Inc [Member]	Nov. 01, 2014 Selling, Marketing, General and Administrative Expense [Member]	Nov. 01, 2014 Nonoperating Income (Expense) [Member]
Business Acquisition [Line Items]
Business Acquisition, Effective Date of Acquisition									Jul. 22, 2014				Sep. 19, 2014
Business Acquisition, Equity Interest Issued or Issuable, Number of Shares		0.7	0.7
Grant date fair value of restricted stock units issued in connection with Acquisition							$ 48.20
Fair value of replacement share-based awards												$ 6,541,000
Accounts receivable												36,991,000
Business Combination, Acquired Receivables, Gross Contractual Amount							37,300,000
Business Combination, Acquired Receivables, Estimated Uncollectible							300,000
Intangible assets										665,500,000		666,400,000
Number of reportable segments			1
Number of operating segments			6
Fair value of the consideration transferred totaled								2,424,446,000		2,400,000,000			0				26,800,000			27,800,000
Short-term Debt							2,000,000,000					2,000,000,000
Common Stock, Par or Stated Value Per Share			$ 0.166		$ 0.166		$ 0.01
Business Acquisition, Share Price							$ 78.00
Initial cash payments	2,400,000,000							2,430,987,000					2,300,000				24,200,000			14,000,000
Contingent consideration			2,200,000																			13,800,000
Period of cash payments related to contingent consideration																					June 2011 through June 2016
Business Acquisition Contingent Consideration Cash Payment			4,000,000	[1]																	12,000,000
BusinessAcquisitionPurchasePriceAllocationIntangibleAssetsNotAmortizable1			4,400,000				900,000										15,600,000				12,200,000
Indemnification holdback																500,000	2,600,000
Indemnification holdback months to be paid																			15 months
Indemnification holdback adjustment																		100,000	100,000
Payments to Acquire Businesses, Net of Cash Acquired			1,945,887,000		2,475,000	24,158,000
Adjustment to deferred taxes and goodwill after purchase accounting was finalized																		400,000
Developed technology			666,600,000		1,100,000												1,100,000
Goodwill acquired										1,357,077,000	0			1,337,000	0		7,000,000
Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Noncurrent Liabilities			800,000
Deferred tax assets												3,531,000					3,100,000
Goodwill																					18,900,000
Deferred tax liabilities												278,029,000									3,300,000
Goodwill deductible for tax purposes			0																		0
Business Combination, Contingent Consideration, Liability													1,900,000	1,900,000							2,900,000
Obligated payment period																			5 years		20 years
Obligated to pay royalties on revenue recognized from the sale of products and licenses																		1,000,000	1,000,000		25,000,000
Acquisition related costs			41,200,000											200,000					500,000		200,000		33,300,000	7,900,000
Royalty payments																			$ 0

[1] Recorded in research and development expense in the consolidated statements of income.