The British pound is sinking again as investors continue to digest the impact of the U.K.'s historic vote to leave the European Union.

The pound fell more than 2% early Monday against the dollar to below $1.34 as uncertainty swirls over the U.K. economy. That's still above the low of around $1.32, its weakest level in decades, that it hit on Friday as results from the U.K. referendum were coming in.

Most Asian markets trended lower Monday, with Hong Kong's Hang Seng Index down around 0.8%. Australian stocks swung between gains and losses.

Japan's benchmark Nikkei was one of the few bright spots, gaining around 1.8%. The rise clawed back some of the nearly 8% loss the index posted Friday.

British voters chose to leave the EU in a referendum on Thursday. The U.K.'s decision to become the first country to drop out of the 28-nation bloc rattled markets worldwide on Friday.

Related: Brexit + deep uncertainty = Market chaos

The vote has far-reaching economic and political implications. Several EU leaders called on the U.K. to start the withdrawal process as soon as possible, to limit the uncertainty. But the U.K. is likely to wait before triggering the process.