Income Taxes (Components of Income Taxes) (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 27, 2019	Oct. 28, 2018	Oct. 29, 2017
Components of income from operations before income taxes
U.S.	$ 363	$ 389	$ 510
Foreign	2,906	4,007	3,306
Income before income taxes	3,269	4,396	3,816
Current:
U.S.	240	1,021	64
Foreign	260	117	236
State	12	22	9
Total current provision for income taxes	512	1,160	309
Deferred:
U.S.	8	151	(11)
Foreign	46	57	(7)
State	(3)	(10)	6
Total deferred provision (benefit) for income taxes	51	198	(12)
Provision for income taxes	$ 563	$ 1,358	$ 297
Reconciliation between the statutory U.S.federal income tax rate to actual effective income tax rate
Tax provision at U.S. statutory rate	21.00%	23.40%	35.00%
Changes in U.S. tax law	0.00%	25.30%	0.00%
Effect of foreign operations taxed at various rates	(5.90%)	(15.60%)	(25.30%)
Changes in prior years' unrecognized tax benefits	2.60%	(0.90%)	0.10%
Resolutions of prior years' income tax filings	(0.10%)	0.20%	(1.80%)
Research and other tax credits	(1.10%)	(0.80%)	(0.70%)
Other	0.70%	(0.70%)	0.50%
Effective income tax rate	17.20%	30.90%	7.80%
Deferred tax assets:
Allowance for doubtful accounts	$ 8	$ 8
Inventory reserves and basis difference	117	117
Installation and warranty reserves	11	7
Intangible assets	1,472	0
Accrued liabilities	15	20
Deferred revenue	36	12
Tax credits	264	236
Deferred compensation	98	79
Share-based compensation	36	37
Other	58	45
Gross deferred tax assets	2,115	561
Valuation allowance	(257)	(230)
Total deferred tax assets	1,858	331
Deferred tax liabilities:
Fixed assets	(65)	(48)
Intangible assets	0	(38)
Undistributed foreign earnings	(38)	(32)
Total deferred tax liabilities	(103)	(118)
Net deferred tax assets	1,755	213
Breakdown between current and non-current net deferred tax assets and liabilities
Non-current deferred tax asset	1,766	225
Non-current deferred tax liability	(11)	(12)
Net deferred tax assets	1,755	213
Reconciliation of gross unrecognized tax benefits
Beginning balance of gross unrecognized tax benefits	374	391	$ 320
Settlements with tax authorities	(1)	(152)	(42)
Lapses of statutes of limitation	(2)	(37)	(15)
Increases in tax positions for current year	33	91	95
Increases in tax positions for prior years	441	83	33
Decreases in tax positions for prior years	0	(2)	0
Ending balance of gross unrecognized tax benefits	$ 845	$ 374	$ 391