Industry Segment Operations (Net Sales and Long-lived Assets) (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Oct. 29, 2017	Jul. 30, 2017	Apr. 30, 2017	Jan. 29, 2017	Oct. 30, 2016	Jul. 31, 2016	May 01, 2016	Jan. 31, 2016	Oct. 29, 2017	Oct. 30, 2016	Oct. 25, 2015
Revenues from External Customers and Long-Lived Assets [Line Items]
Net Sales	$ 3,969	$ 3,744	$ 3,546	$ 3,278	$ 3,297	$ 2,821	$ 2,450	$ 2,257	$ 14,537	$ 10,825	$ 9,659
Long-lived assets	1,186				1,015				1,186	1,015
United States
Revenues from External Customers and Long-Lived Assets [Line Items]
Net Sales									1,474	1,143	1,630
Long-lived assets	915				798				915	798
Korea
Revenues from External Customers and Long-Lived Assets [Line Items]
Net Sales									4,052	1,883	1,654
Long-lived assets	21				12				21	12
Taiwan
Revenues from External Customers and Long-Lived Assets [Line Items]
Net Sales									3,291	2,843	2,600
Long-lived assets	50				34				50	34
China
Revenues from External Customers and Long-Lived Assets [Line Items]
Net Sales									2,746	2,259	1,623
Long-lived assets	47				44				47	44
Japan
Revenues from External Customers and Long-Lived Assets [Line Items]
Net Sales									1,518	1,279	1,078
Long-lived assets	8				8				8	8
Europe
Revenues from External Customers and Long-Lived Assets [Line Items]
Net Sales									816	615	642
Long-lived assets	47				34				47	34
Southeast Asia
Revenues from External Customers and Long-Lived Assets [Line Items]
Net Sales									640	803	432
Long-lived assets	98				85				98	85
Total outside United States
Revenues from External Customers and Long-Lived Assets [Line Items]
Net Sales									13,063	9,682	$ 8,029
Long-lived assets	$ 271				$ 217				$ 271	$ 217