Basis of Presentation - Effects of New Accounting Standards (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended		6 Months Ended
	Apr. 28, 2019	Apr. 29, 2018	Apr. 28, 2019	Apr. 29, 2018	Oct. 28, 2018
Income Statement [Abstract]
Net sales	$ 3,539	$ 4,579	$ 7,292	$ 8,784
Cost of products sold	2,009	2,523	4,097	4,788
Gross profit	1,530	2,056	3,195	3,996
Research, development and engineering	508	509	1,024	998
General and administrative	113	125	223	235
Interest and other income, net	43	25	83	52
Income before income taxes	759	1,261	1,647	2,444
Provision for income taxes	93	161	210	1,179
Net income	$ 666	$ 1,100	$ 1,437	$ 1,265
Basic earnings per share (in dollars per share)	$ 0.71	$ 1.07	$ 1.51	$ 1.21
Diluted earnings per share (in dollars per share)	$ 0.70	$ 1.06	$ 1.50	$ 1.20
Balance Sheet Detail [Abstract]
Accounts receivable, net	$ 2,264		$ 2,264		$ 2,323
Inventories	3,677		3,677		3,721
Other current assets	498		498		530
Deferred income taxes and other assets	2,026		2,026		473
Customer deposits and deferred revenue					0
Contract liabilities	1,393		1,393		1,201
Retained earnings	23,502		23,502		20,880
Cash flows from operating activities:
Net income	$ 666	$ 1,100	1,437	$ 1,265
Adjustments required to reconcile net income to cash provided by operating activities:
Deferred income taxes			49	72
Changes in operating assets and liabilities:
Inventories			44	(540)
Accounts payable and accrued expenses			(409)	103
Contract liabilities			$ 192	282
As Previously Reported
Income Statement [Abstract]
Net sales		4,567		8,771
Cost of products sold		2,477		4,761
Gross profit		2,090		4,010
Research, development and engineering		509		997
General and administrative		124		234
Interest and other income, net		24		49
Income before income taxes		1,295		2,457
Provision for income taxes		166		1,193
Net income		$ 1,129		$ 1,264
Basic earnings per share (in dollars per share)		$ 1.10		$ 1.21
Diluted earnings per share (in dollars per share)		$ 1.09		$ 1.20
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		$ 1,129		$ 1,264
Adjustments required to reconcile net income to cash provided by operating activities:
Deferred income taxes				86
Changes in operating assets and liabilities:
Inventories				(564)
Accounts payable and accrued expenses				100
Contract liabilities				296
Accounting Standards Update 2014-09 | Restatement Adjustment
Income Statement [Abstract]
Net sales		12		13
Cost of products sold		46		26
Gross profit		(34)		(13)
Research, development and engineering		0		0
General and administrative		0		0
Interest and other income, net		0		0
Income before income taxes		(34)		(13)
Provision for income taxes		(5)		(14)
Net income		$ (29)		$ 1
Basic earnings per share (in dollars per share)		$ (0.03)		$ 0.00
Diluted earnings per share (in dollars per share)		$ (0.03)		$ 0.00
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		$ (29)		$ 1
Adjustments required to reconcile net income to cash provided by operating activities:
Deferred income taxes				(14)
Changes in operating assets and liabilities:
Inventories				24
Accounts payable and accrued expenses				3
Contract liabilities				(14)
Accounting Standards Update 2017-07 | Restatement Adjustment
Income Statement [Abstract]
Net sales		0		0
Cost of products sold		0		1
Gross profit		0		(1)
Research, development and engineering		0		1
General and administrative		1		1
Interest and other income, net		1		3
Income before income taxes		0		0
Provision for income taxes		0		0
Net income		$ 0		$ 0
Basic earnings per share (in dollars per share)		$ 0.00		$ 0.00
Diluted earnings per share (in dollars per share)		$ 0.00		$ 0.00
Cash flows from operating activities:
Net income		$ 0		$ 0