{"id":7224,"date":"2024-05-10T12:46:47","date_gmt":"2024-05-10T12:46:47","guid":{"rendered":"https:\/\/blog.dankohn.info\/?p=7224"},"modified":"2024-05-10T12:47:04","modified_gmt":"2024-05-10T12:47:04","slug":"teaching-binary-powers-of-two","status":"publish","type":"post","link":"https:\/\/blog.dankohn.info\/index.php\/2024\/05\/10\/teaching-binary-powers-of-two\/","title":{"rendered":"Teaching Binary (powers of two)"},"content":{"rendered":"\n

A classic example!<\/p>\n\n\n\n

2^0, or 2 to the power of 0, is equal to 1.<\/p>\n\n\n\n

The paper folding example illustrates the concept of exponential growth. Imagine folding a paper in half repeatedly:<\/p>\n\n\n\n

    \n
  1. Fold 1: 2 sheets (2^1)<\/li>\n\n\n\n
  2. Fold 2: 4 sheets (2^2)<\/li>\n\n\n\n
  3. Fold 3: 8 sheets (2^3)<\/li>\n\n\n\n
  4. Fold 4: 16 sheets (2^4)<\/li>\n\n\n\n
  5. Fold 5: 32 sheets (2^5)<\/li>\n<\/ol>\n\n\n\n

    And so on\u2026<\/p>\n\n\n\n

    But what about Fold 0? That’s where 2^0 comes in! With no folds (2^0), you have 1 sheet of paper.<\/p>\n\n\n\n

    This example helps visualize how exponential functions work, and how 2^0 serves as the base case, equal to 1.<\/p>\n","protected":false},"excerpt":{"rendered":"

    A classic example! 2^0, or 2 to the power of 0, is equal to 1. The paper folding example illustrates the concept of exponential growth. Imagine folding a paper in half repeatedly: And so on\u2026 But what about Fold 0? … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2,9],"tags":[],"class_list":["post-7224","post","type-post","status-publish","format-standard","hentry","category-computing","category-teaching_tech"],"_links":{"self":[{"href":"https:\/\/blog.dankohn.info\/index.php\/wp-json\/wp\/v2\/posts\/7224","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.dankohn.info\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.dankohn.info\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.dankohn.info\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.dankohn.info\/index.php\/wp-json\/wp\/v2\/comments?post=7224"}],"version-history":[{"count":1,"href":"https:\/\/blog.dankohn.info\/index.php\/wp-json\/wp\/v2\/posts\/7224\/revisions"}],"predecessor-version":[{"id":7225,"href":"https:\/\/blog.dankohn.info\/index.php\/wp-json\/wp\/v2\/posts\/7224\/revisions\/7225"}],"wp:attachment":[{"href":"https:\/\/blog.dankohn.info\/index.php\/wp-json\/wp\/v2\/media?parent=7224"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.dankohn.info\/index.php\/wp-json\/wp\/v2\/categories?post=7224"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.dankohn.info\/index.php\/wp-json\/wp\/v2\/tags?post=7224"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}