{"resolved":true,"match_type":"uuid","source_type":"original_book","book_id":"38270854-596f-4a26-8183-db8c968c6020","title":"编码 隐匿在计算机软硬件背后的语言","author":null,"edition":null,"publisher":null,"year":null,"isbn":"9787121181184","requested_by":"printed_page","book":{"source_type":"original_book","book_id":"38270854-596f-4a26-8183-db8c968c6020","id":"38270854-596f-4a26-8183-db8c968c6020","uuid":"38270854-596f-4a26-8183-db8c968c6020","title":"编码 隐匿在计算机软硬件背后的语言","normalized_title":"编码隐匿在计算机软硬件背后的语言","author":null,"edition":null,"publisher":null,"year":null,"isbn":"9787121181184","isbns":["9787121181184","0123456789","6044921875","3039331000","0000000000","0000000000000"],"parsed":true,"ai_readable":true,"document_type":"book","page_count":438,"navigation_url":"https://workshop.closeclaw.top/ai/book/38270854-596f-4a26-8183-db8c968c6020","title_url":"https://workshop.closeclaw.top/ai/title/%E7%BC%96%E7%A0%81%20%E9%9A%90%E5%8C%BF%E5%9C%A8%E8%AE%A1%E7%AE%97%E6%9C%BA%E8%BD%AF%E7%A1%AC%E4%BB%B6%E8%83%8C%E5%90%8E%E7%9A%84%E8%AF%AD%E8%A8%80","fixed_page_url_template":"https://workshop.closeclaw.top/ai/book/38270854-596f-4a26-8183-db8c968c6020/page/{printed_page}","path_api_url_template":"https://workshop.closeclaw.top/api/ai/book/38270854-596f-4a26-8183-db8c968c6020/page/{printed_page}","read_url":"https://workshop.closeclaw.top/api/ai/read/38270854-596f-4a26-8183-db8c968c6020","page_url":"https://workshop.closeclaw.top/api/ai/books/38270854-596f-4a26-8183-db8c968c6020/page","search_url":"https://workshop.closeclaw.top/api/ai/books/38270854-596f-4a26-8183-db8c968c6020/search"},"page":{"printed_page":366,"pdf_page":382,"physical_index":382,"physical_index_base":0,"printed_page_status":"recognized","page_sha256":"77b739685b97dfc09120f1dc69d62a0f06b3c65beda2dc88f2e691a9599335b6"},"chapter":"编码隐匿在计算机软硬件背后的语言","content":"我们所要介绍的整数部分就是这些。除此之外，数学家还定义了用两个整数的比值表示的一类数，称做有理数（rational number）或分数（fraction）。例如，3/4是一个有理数，因为它是整数3和4的比。我们也可以把3/4表示成十进制小数的形式，即0.75。尽管我们可以把它写成十进制数的形式，但它实际上代表一个分数，即75/100。\n\n如第7章所述，在十进制数字系统中，小数点左边的数的每一位都和10的正整数次幂相关，而其右边的数的每一位都和10的负整数次幂相关。我们在第7章用到了42705.684这个实例，现在，我们把它表示为以下等价形式：\n\n$$\n\\begin{array} { l } { { 4 \\times 1 0 0 0 0 + } } \\\\ { { 2 \\times 1 0 0 0 + } } \\\\ { { } } \\\\ { { 7 \\times 1 0 0 + } } \\\\ { { 0 \\times 1 0 + } } \\\\ { { 5 \\times 1 + } } \\\\ { { 6 + 1 0 + } } \\\\ { { 8 + 1 0 0 + } } \\\\ { { 4 + 1 0 0 0 } } \\end{array}\n$$\n\n上面的除号表达了该位置的数与10的负整数次幂相关的情况，用下面的表达方式可以不用除号：\n\n$$\n\\begin{array} { r l } & { 4 \\times 1 0 0 0 0 + } \\\\ & { 2 \\times 1 0 0 0 + } \\\\ & { 7 \\times 1 0 0 + } \\\\ & { 0 \\times 1 0 + } \\\\ & { 5 \\times 1 + } \\\\ & { 6 \\times 0 . 1 + } \\\\ & { 8 \\times 0 . 0 1 + } \\end{array}\n$$\n\n编码隐匿在计算机软硬件背后的语言\n\n366","previous_page":null,"next_page":367}