The Althing is the national parliament of Iceland. It is the oldest parliament in the world. The Althing was founded in 930 approximately 45 kilometers (28 mi) east of what later became the country's capital, Reykjavík. Even after Iceland's union with Norway in 1262, the Althing still held its sessions at Þingvellir until 1800, when it was discontinued for 45 years. It was restored in 1844 and moved to Reykjavík, where it has resided ever since. The present parliament building, the Alþingishús, was built in 1881, of hewn Icelandic stone.

The Althing was disbanded by royal decree in 1800. A new High Court, established by this same decree and located in Reykjavík, took over the functions of Lögrétta. The three appointed judges first convened in Hólavallarskóli on 10 August 1801. The High Court was to hold regular sessions and function as the court of highest instance in the country. It operated until 1920, when the Supreme Court of Iceland was established.

In 1959 the system of electoral districts was changed completely. The country was divided into eight constituencies with proportional representation in each, in addition to the previous eleven equalization seats. The total number of members elected was 60. In 1968, the Althing approved the lowering of voting age to 20 years. A further amendment to the Constitution in 1984 increased the number of members to 63 and reduced voting age to 18 years.

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