Return-Path: X-Original-To: python-list@python.org Delivered-To: python-list@mail.python.org X-Spam-Status: OK 0.081 X-Spam-Evidence: '*H*': 0.84; '*S*': 0.00; 'subject:skip:b 10': 0.07; 'table.': 0.07; 'lookup': 0.09; '64,': 0.16; 'bases,': 0.16; 'digits.': 0.16; 'wrote:': 0.16; 'instance,': 0.18; 'fairly': 0.22; 'am,': 0.23; '2015': 0.23; 'header:In-Reply-To:1': 0.24; 'chris': 0.26; 'right.': 0.27; 'converting': 0.27; 'message- id:@mail.gmail.com': 0.28; "doesn't": 0.28; 'convert': 0.29; 'subject:time': 0.31; "can't": 0.32; 'table': 0.32; 'received:google.com': 0.34; 'that,': 0.34; 'could': 0.35; 'to:addr:python-list': 0.35; 'done': 0.35; 'but': 0.36; 'there': 0.36; 'subject:: ': 0.37; 'tue,': 0.38; 'to:addr:python.org': 0.39; 'simple': 0.61; 'map': 0.61; 'taking': 0.62; '30,': 0.63; 'complete': 0.63; 'within': 0.64; 'between': 0.65; 'million': 0.73; 'discrete': 0.84; 'to:name:python': 0.84; 'ratio': 0.91 DKIM-Signature: v=1; a=rsa-sha256; c=relaxed/relaxed; d=gmail.com; s=20120113; h=mime-version:in-reply-to:references:from:date:message-id:subject:to :content-type; bh=QrG/bUsaI14O5nIClW4hLc02qLavVNO5wgNA74z92tc=; b=pZ6A77P7ZBAtWIX5qT1eVUkeV3BCggaPCFLjnnVw1bJRuzpC+jll2nQz05sGykNvje r/RFeRafn7Y8HUrb67Zl5VeGOb92mG+uD8OIW3hFZNpi0l9OWTOr+9K+1ZiwMCpYrzcy niJ7IyDThlFUdVcU8kWHE9yvkKSlKdPD4B7ZEeyAHjziivjHgQTUiCKQ2wOPt7bxS71D zyLEmftUScNsv9Kw2CuKXO82RSwa3DZxRoSWxGiq3xIqqDM8o9hPVRr2pFYfCn033sYm gCZ5W4RtLKlJ0V20ZmHaJRd989GoXEaMTeBAJjeRZQhf9QtwfEIv4i/+HEZa/ngKW9P2 3OBQ== X-Received: by 10.129.103.84 with SMTP id b81mr26525684ywc.55.1435682085623; Tue, 30 Jun 2015 09:34:45 -0700 (PDT) MIME-Version: 1.0 In-Reply-To: References: <777831f0-d4b4-48f6-ae0b-c9b1ea7ffc06@googlegroups.com> <87r3ouawgt.fsf@bsb.me.uk> <7c6dac9d-5722-4179-bd7e-ceaac6698490@googlegroups.com> From: Ian Kelly Date: Tue, 30 Jun 2015 10:34:06 -0600 Subject: Re: Linear time baseconversion To: Python Content-Type: text/plain; charset=UTF-8 X-BeenThere: python-list@python.org X-Mailman-Version: 2.1.20+ Precedence: list List-Id: General discussion list for the Python programming language List-Unsubscribe: , List-Archive: List-Post: List-Help: List-Subscribe: , Newsgroups: comp.lang.python Message-ID: Lines: 12 NNTP-Posting-Host: 2001:888:2000:d::a6 X-Trace: 1435682093 news.xs4all.nl 2850 [2001:888:2000:d::a6]:50051 X-Complaints-To: abuse@xs4all.nl Path: csiph.com!usenet.pasdenom.info!news.stben.net!border1.nntp.ams1.giganews.com!nntp.giganews.com!newsfeed.xs4all.nl!newsfeed7.news.xs4all.nl!newsgate.cistron.nl!newsgate.news.xs4all.nl!post.news.xs4all.nl!not-for-mail Xref: csiph.com comp.lang.python:93340 On Tue, Jun 30, 2015 at 10:10 AM, Chris Angelico wrote: > When there's a simple ratio between the bases, it's fairly > straight-forward to convert a few digits at a time. Converting base > 256 into base 64, for instance, can be done by taking three digits and > yielding four. But within that, you would still need a complete table > of all sixteen million possibilities, if you want to do the lookup > table. And that only works when there is that kind of relationship. You're right. I was thinking that for base 5 to base 7, for instance, one could read digits in groups of 7, but that doesn't work out; you can't map any discrete number of base 5 digits to a corresponding number of base 7 digits.