Shareholders' Equity (Dividends) (Details) - USD ($) $ / shares in Units, $ in Millions	12 Months Ended
	Oct. 29, 2017	Oct. 30, 2016	Nov. 01, 2015
Class of Stock [Line Items]
Cash dividend paid, per share (USD per share)			$ 1.55
Ordinary Shares [Member]
Class of Stock [Line Items]
Cash dividend paid, per share (USD per share)	$ 4.08	$ 1.94
Dividend payments to ordinary shareholders	$ 1,653	$ 716	$ 408