Condensed Consolidated Statements of Income (Unaudited) - USD ($) shares in Thousands, $ in Thousands		3 Months Ended		9 Months Ended
		Jul. 29, 2017	Jul. 30, 2016	Jul. 29, 2017	Jul. 30, 2016
Income Statement [Abstract]
Revenue		$ 1,433,902	$ 869,591	$ 3,566,333	$ 2,417,786
Cost of sales	[1]	667,278	297,301	1,510,762	857,300
Gross margin		766,624	572,290	2,055,571	1,560,486
Operating expenses:
Research and development	[1]	275,670	163,227	694,856	480,890
Selling, marketing, general and administrative	[1]	183,980	122,909	505,325	342,557
Amortization of intangibles		112,153	17,447	199,003	52,224
Special charges		0	0	49,463	13,684
Total operating expenses		571,803	303,583	1,448,647	889,355
Operating income		194,821	268,707	606,924	671,131
Nonoperating expense (income):
Interest expense		73,073	18,476	187,323	49,993
Interest income		(5,524)	(5,665)	(27,945)	(14,107)
Other, net		474	(504)	725	1,758
Nonoperating expense (income)		68,023	12,307	160,103	37,644
Income before income taxes		126,798	256,400	446,821	633,487
Provision for income taxes		57,882	25,970	67,212	67,980
Net income		$ 68,916	$ 230,430	$ 379,609	$ 565,507
Shares used to compute earnings per common share – basic (in shares)		367,315	307,135	339,139	309,030
Shares used to compute earnings per common share – diluted (in shares)		371,159	310,558	343,286	312,534
Basic earnings per common share (in dollars per share)		$ 0.18	$ 0.75	$ 1.12	$ 1.83
Diluted earnings per common share (in dollars per share)		0.18	0.74	1.10	1.81
Dividends declared and paid per share (in dollars per share)		$ 0.45	$ 0.42	$ 1.32	$ 1.24
Cost of sales
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]
Stock-based compensation expense		$ 4,375	$ 1,844	$ 8,885	$ 5,922
Research and development
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]
Stock-based compensation expense		15,781	6,682	34,712	20,032
Selling, marketing, general and administrative
Share-based Compensation Arrangement by Share-based Payment Award, Compensation Cost [Line Items]
Stock-based compensation expense		$ 12,668	$ 8,093	$ 28,242	$ 22,233

[1] Includes stock-based compensation expense as follows: Cost of sales$4,375 $1,844 $8,885 $5,922 Research and development$15,781 $6,682 $34,712 $20,032 Selling, marketing, general and administrative$12,668 $8,093 $28,242 $22,233