Income Taxes (Components of Income Taxes) (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 25, 2020	Oct. 27, 2019	Oct. 28, 2018
Components of income from operations before income taxes
U.S.	$ 92	$ 363	$ 389
Foreign	4,074	2,906	4,007
Income before income taxes	4,166	3,269	4,396
Current:
U.S.	196	240	1,021
Foreign	263	260	117
State	20	12	22
Total current provision for income taxes	479	512	1,160
Deferred:
U.S.	(3)	8	151
Foreign	76	46	57
State	(5)	(3)	(10)
Total deferred provision (benefit) for income taxes	68	51	198
Provision for income taxes	$ 547	$ 563	$ 1,358
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%	21.00%	23.40%
Changes in U.S. tax law	0.00%	0.00%	25.30%
Effect of foreign operations taxed at various rates	(5.90%)	(5.90%)	(15.60%)
Changes in prior years’ unrecognized tax benefits	0.50%	2.60%	(0.90%)
Resolutions of prior years' income tax filings	(1.00%)	(0.10%)	0.20%
Research and other tax credits	(1.30%)	(1.10%)	(0.80%)
Other	(0.20%)	0.70%	(0.70%)
Effective income tax rate	13.10%	17.20%	30.90%
Deferred tax assets:
Allowance for doubtful accounts	$ 4	$ 8
Inventory reserves and basis difference	119	117
Installation and warranty reserves	14	11
Intangible assets	1,355	1,472
Accrued liabilities	24	15
Deferred revenue	32	36
Tax credits	326	264
Deferred compensation	130	98
Share-based compensation	30	36
Lease liability	55	0
Other	96	58
Gross deferred tax assets	2,185	2,115
Valuation allowance	(314)	(257)
Total deferred tax assets	1,871	1,858
Deferred tax liabilities:
Fixed assets	(76)	(65)
Right of use assets	(54)	0
Undistributed foreign earnings	(39)	(38)
Total deferred tax liabilities	(169)	(103)
Net deferred tax assets	1,702	1,755
Reconciliation of gross unrecognized tax benefits
Beginning balance of gross unrecognized tax benefits	845	374	$ 391
Settlements with tax authorities	(446)	(1)	(152)
Lapses of statutes of limitation	(3)	(2)	(37)
Increases in tax positions for current year	44	33	91
Increases in tax positions for prior years	91	441	83
Decreases in tax positions for prior years	(35)	0	(2)
Ending balance of gross unrecognized tax benefits	$ 496	$ 845	$ 374