{"id":487545,"date":"2026-05-31T08:39:00","date_gmt":"2026-05-31T08:39:00","guid":{"rendered":"https:\/\/livelycity.com\/switzerland\/what-would-base-1-be-mathematics-stack-exchange\/"},"modified":"2026-05-31T08:39:00","modified_gmt":"2026-05-31T08:39:00","slug":"what-would-base-1-be-mathematics-stack-exchange","status":"publish","type":"post","link":"https:\/\/livelycity.com\/switzerland\/what-would-base-1-be-mathematics-stack-exchange\/","title":{"rendered":"What would base $1$ be? &#8211; Mathematics Stack Exchange"},"content":{"rendered":"<p>The examples given with base 10 and 2 in the question are positional bases. In a positional base 1, you only got one digit, with no value: 0. All positions will have zero value, and you can only represent one number: 0. \u2013 Bijective base 1 would be one way to make it funcitonal, but that isn&#8217;t a positional base.<\/p>\n<p>\u00a0<a href=\"https:\/\/math.stackexchange.com\/questions\/371972\/what-would-base-1-be\" target=\"_blank\" class=\"\">https:\/\/math.stackexchange.com\/questions\/371972\/what-would-base-1-be<\/a>\u00a0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The examples given with base 10 and 2 in the question are positional bases. In a positional base 1, you only got one digit, with&#8230;<\/p>\n","protected":false},"author":0,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[8],"tags":[],"class_list":["post-487545","post","type-post","status-publish","format-standard","hentry","category-zurich","wpcat-8-id"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/livelycity.com\/switzerland\/wp-json\/wp\/v2\/posts\/487545","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/livelycity.com\/switzerland\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/livelycity.com\/switzerland\/wp-json\/wp\/v2\/types\/post"}],"replies":[{"embeddable":true,"href":"https:\/\/livelycity.com\/switzerland\/wp-json\/wp\/v2\/comments?post=487545"}],"version-history":[{"count":0,"href":"https:\/\/livelycity.com\/switzerland\/wp-json\/wp\/v2\/posts\/487545\/revisions"}],"wp:attachment":[{"href":"https:\/\/livelycity.com\/switzerland\/wp-json\/wp\/v2\/media?parent=487545"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/livelycity.com\/switzerland\/wp-json\/wp\/v2\/categories?post=487545"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/livelycity.com\/switzerland\/wp-json\/wp\/v2\/tags?post=487545"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}