{"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":60,"pdf_page":76,"physical_index":76,"physical_index_base":0,"printed_page_status":"recognized","page_sha256":"3d1eded2c40f27c6fa2ee2f4f6ee94f405fc8203df56e95a13c36f3624d3653d"},"chapter":"编码隐匿在计算机软硬件背后的语言","content":"同样还可以写成若干种不同的形式，下面是利用十进制的8的整数次幂写出的一种形式：\n\n$$\n\\begin{array} { r } { 3 7 2 5 _ { \\mathrm { \\tiny ~ E I G H T } } = 3 \\times 5 1 2 _ { \\mathrm { \\tiny ~ T E N } } + } \\\\ { 7 \\times 6 4 _ { \\mathrm { \\tiny ~ T E N } } + } \\\\ { 2 \\times 8 _ { \\mathrm { \\tiny ~ T E N } } + } \\\\ { 5 \\times 1 } \\end{array}\n$$\n\n采用八进制形式的8的整数次幂，表现形式如下：\n\n$$\n\\begin{array} { r l } { 3 7 2 5 _ { \\mathrm { \\tiny ~ E I G H T } } = 3 \\times 1 0 0 0 _ { \\mathrm { \\tiny ~ E I G H T } } + } & { } \\\\ { 7 \\times 1 0 0 _ { \\mathrm { \\tiny ~ E I G H T } } + } \\\\ { 2 \\times 1 0 _ { \\mathrm { \\tiny ~ E I G H T } } + } \\\\ { 5 \\times 1 } & { } \\end{array}\n$$\n\n还有一种拆分形式：\n\n$$\n\\begin{array} { r l r } & { } & { 3 7 2 5 _ { \\mathrm { \\tiny ~ E I G H T } } = 3 \\times 8 ^ { 3 } + } \\\\ & { } & { 7 \\times 8 ^ { 2 } + } \\\\ & { } & { 2 \\times 8 ^ { 1 } + } \\\\ & { } & { 5 \\times 8 ^ { 0 } } \\end{array}\n$$\n\n如果用十进制数计算出结果，会得到 $2 0 0 5 _ { \\mathrm { \\scriptstyle \\mathrm { ~ T E N o } } }$ 这就是将八进制数转化为十进制数的方法。\n\n我们可以像进行十进制数的加法和乘法那样，对八进制数进行加法或乘法运算。不同的是，我们要采用不同的表来对各个数位进行乘法或加法运算。下面是八进制数的加法表。\n\n编码——隐匿在计算机软硬件背后的语言\n\n60","previous_page":59,"next_page":61}