Summary of Significant Accounting Policies - (Recent Accounting Pronouncements) (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended								12 Months Ended
	Oct. 27, 2019	Jul. 28, 2019	Apr. 28, 2019	Jan. 27, 2019	Oct. 28, 2018	Jul. 29, 2018	Apr. 29, 2018	Jan. 28, 2018	Oct. 27, 2019	Oct. 28, 2018	Oct. 29, 2017	Oct. 28, 2019	Oct. 29, 2018
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Retained earnings	$ 24,386				$ 20,880				$ 24,386	$ 20,880
Accumulated other comprehensive loss	(180)				(125)				(180)	(125)
Income Statement [Abstract]
Net sales	3,754	$ 3,562	$ 3,539	$ 3,753	3,759	$ 4,162	$ 4,579	$ 4,205	14,608	16,705	$ 14,698
Cost of products sold									8,222	9,188	8,086
Gross profit	1,634	1,557	1,530	1,665	1,657	1,864	2,056	1,940	6,386	7,517	6,612
Research, development and engineering									2,054	2,022	1,781
Marketing and selling										521	457
General and administrative										483	438
Interest and other income, net										139	78
Income before income taxes									3,269	4,396	3,816
Provision for income taxes									563	1,358	297
Net income	$ 698	$ 571	$ 666	$ 771	$ 757	$ 1,016	$ 1,100	$ 165	$ 2,706	$ 3,038	$ 3,519
Earnings per share: basic (in dollars per share)									$ 2.89	$ 3.00	$ 3.28
Earnings per share: diluted (in dollars per share)	$ 0.75	$ 0.61	$ 0.70	$ 0.80	$ 0.77	$ 1.01	$ 1.06	$ 0.15	$ 2.86	$ 2.96	$ 3.25
Balance Sheet
Accounts receivable, net	$ 2,533				$ 2,323				$ 2,533	$ 2,323	$ 2,338
Inventories	3,474				3,721				3,474	3,721	2,707
Other current assets	581				530				581	530
Deferred income taxes and other assets	2,031				473				2,031	473
Customer deposits and deferred revenue					0					0
Contract liabilities	1,336				1,201				1,336	1,201
Retained earnings	$ 24,386				20,880				24,386	20,880
Statement of Cash Flows
Deferred income taxes									49	71	(12)
Accounts receivable									(207)	16	(37)
Inventories									248	(1,014)	(809)
Other current and non-current assets										(199)	(156)
Accounts payable and accrued expenses									(247)	170	371
Contract liabilities									$ 135	75	133
As Previously Reported
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Retained earnings					20,874					20,874
Income Statement [Abstract]
Net sales										17,253	14,537
Cost of products sold										9,436	8,005
Gross profit										7,817	6,532
Research, development and engineering										2,019	1,774
Marketing and selling										521	456
General and administrative										481	434
Interest and other income, net										132	61
Income before income taxes										4,694	3,731
Provision for income taxes										1,381	297
Net income										$ 3,313	$ 3,434
Earnings per share: basic (in dollars per share)										$ 3.27	$ 3.20
Earnings per share: diluted (in dollars per share)										$ 3.23	$ 3.17
Balance Sheet
Accounts receivable, net					2,565					$ 2,565
Inventories					3,722					3,722
Other current assets					430					430
Deferred income taxes and other assets					470					470
Customer deposits and deferred revenue					1,347					1,347
Contract liabilities					0					0
Retained earnings					20,874					20,874
Statement of Cash Flows
Deferred income taxes										94	$ (11)
Accounts receivable										(226)	(37)
Inventories										(792)	(879)
Other current and non-current assets										(93)	(157)
Accounts payable and accrued expenses										179	370
Contract liabilities										(318)	289
Accounting Standards Update 2014-09 | Adjustment
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Retained earnings					6					6
Income Statement [Abstract]
Net sales										(548)	161
Cost of products sold										(250)	76
Gross profit										(298)	85
Research, development and engineering										0	0
Marketing and selling										0	0
General and administrative										0	0
Interest and other income, net										0	0
Income before income taxes										(298)	85
Provision for income taxes										(23)	0
Net income										$ (275)	$ 85
Earnings per share: basic (in dollars per share)										$ (0.27)	$ 0.08
Earnings per share: diluted (in dollars per share)										$ (0.27)	$ 0.08
Balance Sheet
Accounts receivable, net					(242)					$ (242)
Inventories					(1)					(1)
Other current assets					100					100
Deferred income taxes and other assets					3					3
Customer deposits and deferred revenue					(1,347)					(1,347)
Contract liabilities					1,201					1,201
Retained earnings					$ 6					6
Statement of Cash Flows
Deferred income taxes										(23)	$ (1)
Accounts receivable										242	0
Inventories										(222)	70
Other current and non-current assets										(106)	1
Accounts payable and accrued expenses										(9)	1
Contract liabilities										393	(156)
Accounting Standards Update 2017-07 | Adjustment
Income Statement [Abstract]
Net sales										0	0
Cost of products sold										2	5
Gross profit										(2)	(5)
Research, development and engineering										3	7
Marketing and selling										0	1
General and administrative										2	4
Interest and other income, net										7	17
Income before income taxes										0	0
Provision for income taxes										0	0
Net income										$ 0	$ 0
Earnings per share: basic (in dollars per share)										$ 0	$ 0
Earnings per share: diluted (in dollars per share)										$ 0	$ 0
Accounting Standards Update 2016-16
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Deferred tax asset													$ 1,600
Retained earnings													1,600
Balance Sheet
Retained earnings													1,600
Accounting Standards Update 2016-01
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Retained earnings													21
Accumulated other comprehensive loss													(17)
Balance Sheet
Retained earnings													$ 21
Accounting Standards Update 2016-02 | Scenario, Forecast | Subsequent Event
New Accounting Pronouncements or Change in Accounting Principle [Line Items]
Operating lease right-of-use asset												$ 165
Operating lease liability												$ 165