Income Taxes (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 28, 2018	Oct. 29, 2017	Oct. 30, 2016
Components of income from operations before income taxes
U.S.	$ 439	$ 514	$ 199
Foreign	4,255	3,217	1,814
Income before income taxes	4,694	3,731	2,013
Current:
U.S.	1,035	67	(36)
Foreign	126	233	351
State	22	9	(2)
Total current provision for income taxes	1,183	309	313
Deferred:
U.S.	151	(11)	55
Foreign	57	(7)	(89)
State	(10)	6	13
Total deferred provision (benefit) for income taxes	198	(12)	(21)
Provision for income taxes	$ 1,381	$ 297	$ 292
Reconciliation between the statutory U.S.federal income tax rate to actual effective income tax rate
Tax provision at U.S. statutory rate	23.40%	35.00%	35.00%
Changes in U.S. tax law	23.70%	0.00%	0.00%
Resolutions of prior years’ income tax filings	(0.70%)	(1.90%)	3.90%
Effect of foreign operations taxed at various rates	(15.60%)	(24.90%)	(24.10%)
State income taxes, net of federal benefit	0.20%	0.30%	0.60%
Research and other tax credits	(0.70%)	(0.70%)	(1.30%)
U.S. domestic production deduction	(0.10%)	(0.20%)	(0.20%)
Share-based compensation	(0.70%)	0.40%	0.40%
Other	(0.10%)	0.00%	0.20%
Effective income tax rate	29.40%	8.00%	14.50%
Deferred tax assets:
Allowance for doubtful accounts	$ 8	$ 13
Inventory reserves and basis difference	117	156
Installation and warranty reserves	7	1
Accrued liabilities	20	31
Deferred revenue	9	15
Tax credits	236	317
Deferred compensation	79	81
Share-based compensation	37	53
Other	48	67
Gross deferred tax assets	561	734
Valuation allowance	(230)	(227)
Total deferred tax assets	331	507
Deferred tax liabilities:
Fixed assets	(48)	(36)
Intangible assets	(38)	(76)
Undistributed foreign earnings	(32)	(11)
Foreign exchange	(3)	(4)
Total gross deferred tax liabilities	(121)	(127)
Net deferred tax assets	210	380
Breakdown between current and non-current net deferred tax assets and liabilities
Non-current deferred tax asset	222	385
Non-current deferred tax liability	(12)	(5)
Net deferred tax assets	210	380
Reconciliation of gross unrecognized tax benefits
Beginning balance of gross unrecognized tax benefits	391	320	$ 177
Settlements with tax authorities	(152)	(42)	(25)
Lapses of statutes of limitation	(37)	(15)	(2)
Increases in tax positions for current year	91	95	62
Increases in tax positions for prior years	83	33	109
Decreases in tax positions for prior years	(2)	0	(1)
Ending balance of gross unrecognized tax benefits	$ 374	$ 391	$ 320