Basis of Presentation - Effects of New Accounting Standards (Details) - USD ($) $ / shares in Units, $ in Millions	3 Months Ended
	Jan. 27, 2019	Jan. 28, 2018	Oct. 28, 2018
Income Statement [Abstract]
Net sales	$ 3,753	$ 4,205
Cost of products sold	2,088	2,265
Gross profit	1,665	1,940
Research, development and engineering	516	489
Interest and other income, net	40	27
Income before income taxes	888	1,183
Provision for income taxes	117	1,018
Net income	$ 771	$ 165
Basic earnings per share (in dollars per share)	$ 0.81	$ 0.16
Diluted earnings per share (in dollars per share)	$ 0.80	$ 0.15
Balance Sheet Detail [Abstract]
Accounts receivable, net	$ 2,444		$ 2,323
Inventories	3,703		3,721
Other current assets	426		530
Deferred income taxes and other assets	2,026		473
Customer deposits and deferred revenue			0
Contract liabilities	1,356		1,201
Retained earnings	23,032		20,880
Cash flows from operating activities:
Net income	771	$ 165
Adjustments required to reconcile net income to cash provided by operating activities:
Deferred income taxes	41	32
Changes in operating assets and liabilities:
Inventories	18	(211)
Accounts payable and accrued expenses	(313)	(127)
Contract liabilities	$ 155	350
As Previously Reported
Income Statement [Abstract]
Net sales		4,204
Cost of products sold		2,284
Gross profit		1,920
Research, development and engineering		488
Interest and other income, net		25
Income before income taxes		1,162
Provision for income taxes		1,027
Net income		$ 135
Basic earnings per share (in dollars per share)		$ 0.13
Diluted earnings per share (in dollars per share)		$ 0.13
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		$ 135
Adjustments required to reconcile net income to cash provided by operating activities:
Deferred income taxes		41
Changes in operating assets and liabilities:
Inventories		(195)
Accounts payable and accrued expenses		(125)
Contract liabilities		353
Accounting Standards Update 2014-09 | Restatement Adjustment
Income Statement [Abstract]
Net sales		1
Cost of products sold		(20)
Gross profit		21
Income before income taxes		21
Provision for income taxes		(9)
Net income		$ 30
Basic earnings per share (in dollars per share)		$ 0.03
Diluted earnings per share (in dollars per share)		$ 0.02
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		$ 30
Adjustments required to reconcile net income to cash provided by operating activities:
Deferred income taxes		(9)
Changes in operating assets and liabilities:
Inventories		(16)
Accounts payable and accrued expenses		(2)
Contract liabilities		(3)
Accounting Standards Update 2017-07 | Restatement Adjustment
Income Statement [Abstract]
Cost of products sold		1
Gross profit		(1)
Research, development and engineering		1
Interest and other income, net		2
Income before income taxes		$ (2)