Income Taxes (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 30, 2016	Oct. 25, 2015	Oct. 26, 2014
Components of income from operations before income taxes
U.S.	$ 199	$ 629	$ 612
Foreign	1,814	969	836
Income before income taxes	2,013	1,598	1,448
Current:
U.S.	(36)	134	270
Foreign	351	199	97
State	(2)	18	27
Total current provision for income taxes	313	351	394
Deferred:
U.S.	55	(194)	(9)
Foreign	(89)	69	(3)
State	13	(5)	(6)
Total deferred provision (benefit) for income taxes	(21)	(130)	(18)
Provision for income taxes	$ 292	$ 221	$ 376
Reconciliation between the statutory U.S.federal income tax rate to actual effective income tax rate
Tax provision at U.S. statutory rate	35.00%	35.00%	35.00%
Resolutions of prior years’ income tax filings	3.90%	(4.90%)	2.00%
Effect of foreign operations taxed at various rates	(24.10%)	(16.30%)	(10.90%)
State income taxes, net of federal benefit	0.60%	0.90%	1.00%
Research and other tax credits	(1.30%)	(0.20%)	(0.30%)
U.S. domestic production deduction	(0.20%)	(0.60%)	(1.30%)
Acquisition costs	0.00%	(1.10%)	0.80%
Share-based compensation	0.40%	0.80%	0.40%
Other	0.20%	0.20%	(0.70%)
Effective income tax rate	14.50%	13.80%	26.00%
Deferred tax assets:
Allowance for doubtful accounts	$ 20	$ 20
Inventory reserves and basis difference	151	155
Installation and warranty reserves	3	11
Accrued liabilities	53	106
Deferred revenue	17	17
Tax credits and net operating losses	210	196
Deferred compensation	45	79
Share-based compensation	55	53
Other	176	150
Gross deferred tax assets	730	787
Valuation allowance	(207)	(207)
Total deferred tax assets	523	580
Deferred tax liabilities:
Fixed assets	(29)	(15)
Intangible assets	(81)	(91)
Undistributed foreign earnings	(42)	(68)
Foreign exchange	0	(4)
Total gross deferred tax liabilities	(152)	(178)
Net deferred tax assets	371	402
Breakdown between current and non-current net deferred tax assets and liabilities
Current deferred tax asset	0	403
Non-current deferred tax asset	372	55
Non-current deferred tax liability	(1)	(56)
Net deferred tax assets	371	402
Reconciliation of gross unrecognized tax benefits
Beginning balance of gross unrecognized tax benefits	177	134	$ 194
Settlements with tax authorities	(25)	(16)	(143)
Lapses of statutes of limitation	(2)	(1)	(2)
Increases in tax positions for current year	62	43	52
Increases in tax positions for prior years	109	21	42
Decreases in tax positions for prior years	(1)	(4)	(9)
Ending balance of gross unrecognized tax benefits	$ 320	$ 177	$ 134