Basis of Presentation - Effects of New Accounting Standards (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended		9 Months Ended
	Jul. 28, 2019	Jul. 29, 2018	Jul. 28, 2019	Jul. 29, 2018	Oct. 28, 2018
Income Statement [Abstract]
Net sales	$ 3,562	$ 4,162	$ 10,854	$ 12,946
Cost of products sold	2,005	2,298	6,102	7,086
Gross profit	1,557	1,864	4,752	5,860
Research, development and engineering	515	505	1,539	1,503
General and administrative	112	128	335	363
Interest and other income, net	38	43	121	95
Income before income taxes	782	1,077	2,429	3,521
Provision for income taxes	211	61	421	1,240
Net income	$ 571	$ 1,016	$ 2,008	$ 2,281
Basic earnings per share (in dollars per share)	$ 0.61	$ 1.02	$ 2.13	$ 2.22
Diluted earnings per share (in dollars per share)	$ 0.61	$ 1.01	$ 2.11	$ 2.20
Balance Sheet Detail [Abstract]
Accounts receivable, net	$ 2,373		$ 2,373		$ 2,323
Inventories	3,539		3,539		3,721
Other current assets	569		569		530
Deferred income taxes and other assets	2,031		2,031		473
Customer deposits and deferred revenue					0
Contract liabilities	1,430		1,430		1,201
Retained earnings	23,880		23,880		20,880
Cash flows from operating activities:
Net income	$ 571	$ 1,016	2,008	$ 2,281
Adjustments required to reconcile net income to cash provided by operating activities:
Deferred income taxes			57	94
Changes in operating assets and liabilities:
Inventories			182	(859)
Accounts payable and accrued expenses			(337)	211
Contract liabilities			$ 229	201
As Previously Reported
Income Statement [Abstract]
Net sales		4,468		13,239
Cost of products sold		2,441		7,202
Gross profit		2,027		6,037
Research, development and engineering		504		1,501
General and administrative		128		362
Interest and other income, net		41		90
Income before income taxes		1,239		3,696
Provision for income taxes		66		1,259
Net income		$ 1,173		$ 2,437
Basic earnings per share (in dollars per share)		$ 1.18		$ 2.37
Diluted earnings per share (in dollars per share)		$ 1.17		$ 2.35
Balance Sheet Detail [Abstract]
Accounts receivable, net					2,565
Inventories					3,722
Other current assets					430
Deferred income taxes and other assets					470
Customer deposits and deferred revenue					1,347
Contract liabilities					0
Retained earnings					20,874
Cash flows from operating activities:
Net income		$ 1,173		$ 2,437
Adjustments required to reconcile net income to cash provided by operating activities:
Deferred income taxes				112
Changes in operating assets and liabilities:
Inventories				(751)
Accounts payable and accrued expenses				214
Contract liabilities				(84)
Revenue Recognition Adjustment | Restatement Adjustment
Income Statement [Abstract]
Net sales		(306)		(293)
Cost of products sold		(144)		(118)
Gross profit		(162)		(175)
Research, development and engineering		0		0
General and administrative		0		0
Interest and other income, net		0		0
Income before income taxes		(162)		(175)
Provision for income taxes		(5)		(19)
Net income		$ (157)		$ (156)
Basic earnings per share (in dollars per share)		$ (0.16)		$ (0.15)
Diluted earnings per share (in dollars per share)		$ (0.16)		$ (0.15)
Balance Sheet Detail [Abstract]
Accounts receivable, net					(242)
Inventories					(1)
Other current assets					100
Deferred income taxes and other assets					3
Customer deposits and deferred revenue					(1,347)
Contract liabilities					1,201
Retained earnings					$ 6
Cash flows from operating activities:
Net income		$ (157)		$ (156)
Adjustments required to reconcile net income to cash provided by operating activities:
Deferred income taxes				(18)
Changes in operating assets and liabilities:
Inventories				(108)
Accounts payable and accrued expenses				(3)
Contract liabilities				285
Retirement Benefit Adjustment | Restatement Adjustment
Income Statement [Abstract]
Net sales		0		0
Cost of products sold		1		2
Gross profit		(1)		(2)
Research, development and engineering		1		2
General and administrative		0		1
Interest and other income, net		2		5
Income before income taxes		0		0
Provision for income taxes		0		0
Net income		$ 0		$ 0
Basic earnings per share (in dollars per share)		$ 0		$ 0
Diluted earnings per share (in dollars per share)		$ 0		$ 0
Cash flows from operating activities:
Net income		$ 0		$ 0