Income Taxes (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 29, 2017	Oct. 30, 2016	Oct. 25, 2015
Components of income from operations before income taxes
U.S.	$ 514	$ 199	$ 629
Foreign	3,217	1,814	969
Income before income taxes	3,731	2,013	1,598
Current:
U.S.	67	(36)	134
Foreign	233	351	199
State	9	(2)	18
Total current provision for income taxes	309	313	351
Deferred:
U.S.	(11)	55	(194)
Foreign	(7)	(89)	69
State	6	13	(5)
Total deferred provision (benefit) for income taxes	(12)	(21)	(130)
Provision for income taxes	$ 297	$ 292	$ 221
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	(1.90%)	3.90%	(4.90%)
Effect of foreign operations taxed at various rates	(24.90%)	(24.10%)	(16.30%)
State income taxes, net of federal benefit	0.30%	0.60%	0.90%
Research and other tax credits	(0.70%)	(1.30%)	(0.20%)
U.S. domestic production deduction	(0.20%)	(0.20%)	(0.60%)
Share-based compensation	0.40%	0.40%	0.80%
Other	0.00%	0.20%	(0.90%)
Effective income tax rate	8.00%	14.50%	13.80%
Deferred tax assets:
Allowance for doubtful accounts	$ 13	$ 20
Inventory reserves and basis difference	156	151
Installation and warranty reserves	1	3
Accrued liabilities	31	53
Deferred revenue	15	17
Tax credits	317	210
Deferred compensation	81	45
Share-based compensation	53	55
Other	67	176
Gross deferred tax assets	734	730
Valuation allowance	(227)	(207)
Total deferred tax assets	507	523
Deferred tax liabilities:
Fixed assets	(36)	(29)
Intangible assets	(76)	(81)
Undistributed foreign earnings	(11)	(42)
Foreign exchange	(4)	0
Total gross deferred tax liabilities	(127)	(152)
Net deferred tax assets	380	371
Breakdown between current and non-current net deferred tax assets and liabilities
Non-current deferred tax asset	385	372
Non-current deferred tax liability	(5)	(1)
Net deferred tax assets	380	371
Reconciliation of gross unrecognized tax benefits
Beginning balance of gross unrecognized tax benefits	320	177	$ 134
Settlements with tax authorities	(42)	(25)	(16)
Lapses of statutes of limitation	(15)	(2)	(1)
Increases in tax positions for current year	95	62	43
Increases in tax positions for prior years	33	109	21
Decreases in tax positions for prior years	0	(1)	(4)
Ending balance of gross unrecognized tax benefits	$ 391	$ 320	$ 177