Industry Segment Operations (Net Sales and Long-lived Assets) (Details) - USD ($) $ in Millions	3 Months Ended								12 Months Ended
	Oct. 30, 2016	Jul. 31, 2016	May 01, 2016	Jan. 31, 2016	Oct. 25, 2015	Jul. 26, 2015	Apr. 26, 2015	Jan. 25, 2015	Oct. 30, 2016	Oct. 25, 2015	Oct. 26, 2014
Revenues from External Customers and Long-Lived Assets [Line Items]
Net Sales	$ 3,297	$ 2,821	$ 2,450	$ 2,257	$ 2,368	$ 2,490	$ 2,442	$ 2,359	$ 10,825	$ 9,659	$ 9,072
Long-lived assets	1,015				956				1,015	956
United States
Revenues from External Customers and Long-Lived Assets [Line Items]
Net Sales									1,143	1,630	1,966
Long-lived assets	798				705				798	705
Taiwan
Revenues from External Customers and Long-Lived Assets [Line Items]
Net Sales									2,843	2,600	2,702
Long-lived assets	34				39				34	39
China
Revenues from External Customers and Long-Lived Assets [Line Items]
Net Sales									2,259	1,623	1,608
Long-lived assets	44				46				44	46
Korea
Revenues from External Customers and Long-Lived Assets [Line Items]
Net Sales									1,883	1,654	965
Long-lived assets	12				12				12	12
Japan
Revenues from External Customers and Long-Lived Assets [Line Items]
Net Sales									1,279	1,078	817
Long-lived assets	8				6				8	6
Europe
Revenues from External Customers and Long-Lived Assets [Line Items]
Net Sales									615	642	658
Long-lived assets	34				75				34	75
Southeast Asia
Revenues from External Customers and Long-Lived Assets [Line Items]
Net Sales									803	432	356
Long-lived assets	85				73				85	73
Total outside United States
Revenues from External Customers and Long-Lived Assets [Line Items]
Net Sales									9,682	8,029	$ 7,106
Long-lived assets	$ 217				$ 251				$ 217	$ 251