Income Taxes (Components of Income Taxes) (Details) - USD ($) $ in Millions	12 Months Ended
	Oct. 29, 2023	Oct. 30, 2022	Oct. 31, 2021
Components of income from operations before income taxes
U.S.	$ 1,234	$ 1,171	$ 512
Foreign	6,482	6,428	6,259
Income before income taxes	7,716	7,599	6,771
Current:
U.S.	708	590	462
Foreign	456	275	344
State	54	14	17
Total current provision for income taxes	1,218	879	823
Deferred:
U.S.	(255)	(62)	(3)
Foreign	(61)	265	67
State	(42)	(8)	(4)
Total deferred provision (benefit) for income taxes	(358)	195	60
Provision for income taxes	$ 860	$ 1,074	$ 883
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%	21.00%
Effect of foreign operations taxed at various rates	(8.20%)	(4.40%)	(7.00%)
Changes in prior years’ unrecognized tax benefits	(0.20%)	(0.90%)	0.20%
Resolutions of prior years’ income tax filings	(0.10%)	(0.20%)	(0.10%)
Research and other tax credits	(1.60%)	(1.00%)	(0.90%)
Other	0.20%	(0.40%)	(0.20%)
Effective income tax rate	11.10%	14.10%	13.00%
Deferred tax assets:
Capitalized R&D expenses	$ 83	$ 0
Allowance for doubtful accounts	4	5
Inventory reserves and basis difference	125	131
Installation and warranty reserves	35	29
Intangible assets	1,031	984
Accrued liabilities	19	35
Deferred revenue	72	82
Tax credits	536	453
Deferred compensation	217	125
Share-based compensation	50	42
Property, plant and equipment	9	0
Lease liability	98	81
Other	96	67
Gross deferred tax assets	2,375	2,034
Valuation allowance	(530)	(460)
Total deferred tax assets	1,845	1,574
Deferred tax liabilities:
Property, plant and equipment	0	(111)
Right of use assets	(103)	(80)
Undistributed foreign earnings	(23)	(39)
Total deferred tax liabilities	(126)	(230)
Net deferred tax assets	1,719	1,344
Reconciliation of gross unrecognized tax benefits
Beginning balance of gross unrecognized tax benefits	498	537	$ 496
Settlements with tax authorities	0	(25)	0
Lapses of statutes of limitation	0	0	(4)
Increases in tax positions for current year	28	26	26
Increases in tax positions for prior years	0	28	23
Decreases in tax positions for prior years	(16)	(68)	(4)
Ending balance of gross unrecognized tax benefits	$ 510	$ 498	$ 537