{"id":2368,"date":"2011-11-03T15:18:36","date_gmt":"2011-11-03T14:18:36","guid":{"rendered":"https:\/\/blogs.mentor.com\/colinwalls\/?p=2368"},"modified":"2026-03-26T16:36:11","modified_gmt":"2026-03-26T20:36:11","slug":"how-many","status":"publish","type":"post","link":"https:\/\/blogs.sw.siemens.com\/embedded-software\/2011\/11\/03\/how-many\/","title":{"rendered":"How many?"},"content":{"rendered":"<p>Counting is somewhat fundamental to our lives. A key feature of Human intelligence is our ability to define the number of a given artifact with which we are presented. To my knowledge, no animal exhibits this capability to any significant extent. Indeed, I believe that an Amazonian tribe was discovered whose counting system went &#8220;one, two, many&#8221;.<\/p>\n<p>But even we, in the Western world, can run into trouble with numbers &#8230;<!--more--><\/p>\n<p>Big numbers lead us astray. Scientists avoid the problem by always working in powers of ten, but most of us like words. Up to a million is OK, but then there is a problem. We now often hear references to billions and trillions &#8211; particularly with reference to national debts etc. How many is a billion? Most of us would say 1 followed by 9 zeros. However, this is not universal. Originally, the word &#8220;billion&#8221; was coined to replace &#8220;a million million&#8221; &#8211; &#8220;bi&#8221; being the prefix for 2. So, a billion then had 12 zeros. Later it was changed in some countries [e.g. US and UK], but elsewhere the old meaning has stuck. So, that is why scientists are so fussy.<\/p>\n<p>I am good at counting. I can obviously do so indefinitely in English and I can make a brave effort in French, German and Italian. They do make it hard in some languages. In France, for example, everything is OK up to sixty, but seventy is &#8220;sixty-ten&#8221;, eighty is &#8220;four twenties&#8221; and ninety is &#8220;four twenties and ten&#8221;. All very complicated. In some other French speaking countries [e.g. Belgium and parts of Switzerland] they have fixed is and have proper words for seventy, eighty and ninety.<\/p>\n<p>Number bases are interesting. We almost always use base 10. I assume this is just a consequence of human beings having 10 fingers and thumbs [does anyone know why we have this number?]. Computer people use binary [base 2], octal [base 8] or hexadecimal [base 16]. Ultimately it is arbitrary what number base is used in any context. I have often thought that, for everyday purposes, base 12 might be handy, but I cannot imagine people accepting the change. If you can move all your fingers and thumbs independently [I cannot do that], you can count in binary. That means that you can count up to 1023 on your fingers or up to 31 with one hand]. Neat trick eh?<\/p>\n<p>I have got caught out with numbers from time to time. A few years ago, I was doing a seminar in Israel. Before the event, the technician was setting up the PA. He was walking around the room with the mike saying three words in various combinations. Being curious, I asked him what they meant. He answered: &#8220;One. One, two. One, two, three.&#8221; So, I can now say hello\/goodbye and thank you and count to three in Hebrew.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Counting is somewhat fundamental to our lives. A key feature of Human intelligence is our ability to define the number&#8230;<\/p>\n","protected":false},"author":71677,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spanish_translation":"","french_translation":"","german_translation":"","italian_translation":"","polish_translation":"","japanese_translation":"","chinese_translation":"","footnotes":""},"categories":[1],"tags":[302],"industry":[],"product":[],"coauthors":[],"class_list":["post-2368","post","type-post","status-publish","format-standard","hentry","category-news","tag-off-topic"],"_links":{"self":[{"href":"https:\/\/blogs.sw.siemens.com\/embedded-software\/wp-json\/wp\/v2\/posts\/2368","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.sw.siemens.com\/embedded-software\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.sw.siemens.com\/embedded-software\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/embedded-software\/wp-json\/wp\/v2\/users\/71677"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/embedded-software\/wp-json\/wp\/v2\/comments?post=2368"}],"version-history":[{"count":1,"href":"https:\/\/blogs.sw.siemens.com\/embedded-software\/wp-json\/wp\/v2\/posts\/2368\/revisions"}],"predecessor-version":[{"id":10012,"href":"https:\/\/blogs.sw.siemens.com\/embedded-software\/wp-json\/wp\/v2\/posts\/2368\/revisions\/10012"}],"wp:attachment":[{"href":"https:\/\/blogs.sw.siemens.com\/embedded-software\/wp-json\/wp\/v2\/media?parent=2368"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/embedded-software\/wp-json\/wp\/v2\/categories?post=2368"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/embedded-software\/wp-json\/wp\/v2\/tags?post=2368"},{"taxonomy":"industry","embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/embedded-software\/wp-json\/wp\/v2\/industry?post=2368"},{"taxonomy":"product","embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/embedded-software\/wp-json\/wp\/v2\/product?post=2368"},{"taxonomy":"author","embeddable":true,"href":"https:\/\/blogs.sw.siemens.com\/embedded-software\/wp-json\/wp\/v2\/coauthors?post=2368"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}