{"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":59,"pdf_page":75,"physical_index":75,"physical_index_base":0,"printed_page_status":"recognized","page_sha256":"a43d3a400359e11489e0a9e6adab2e3de077bbc103bf0258455df73c1695fe6d"},"chapter":"编码隐匿在计算机软硬件背后的语言","content":"你可能还会注意到，这些好整数 $1 0 0 _ { \\mathrm { E I G H T } } . 2 0 0 _ { \\mathrm { E I G H T } }$ 和 $4 0 0 _ { \\scriptstyle \\mathrm { E I G H T } }$ 在十进制中分别与 $\\bf { 6 4 } _ { T E N }$ $1 2 8 _ { \\textrm { T E N } }$ 和 $2 5 6 _ { \\textrm { T E N } }$ 相等，它们全是2的整数次幂。这是非常有意义的。例如，400EIGHT等于 $4 _ { \\tt E I G H T }$ 乘以 $1 0 _ { \\tt E I G H T }$ 乘以 $1 0 _ { \\mathrm { \\ E I G H T } }$ ，而这里所有的数都是2的整数次幂。任何2的整数次幂乘以2的整数次幂的结果依然是2的整数次幂。\n\n下表给出了一些2的整数次幂的十进制及其对应的八进制的表示形式。\n\n最右列的好整数暗示我们，十进制以外的数字系统可能对使用二进制码有所帮助。\n\n在结构上，八进制数字系统与十进制数字系统并没有什么不同。它们只是在细节上存在一些差异。例如，八进制数中的每个位所代表的值是该位数字乘以8的整数次幂的结果。\n\n这样，一个八进制数 $3 7 2 5 _ { \\mathrm { \\bf ~ E I G H T } }$ 可以分解成如下形式：\n\n$$\n3 7 2 5 _ { \\mathrm { \\tiny ~ E I G H T } } = 3 0 0 0 _ { \\mathrm { \\tiny ~ E I G H T } } + 7 0 0 _ { \\mathrm { \\tiny ~ E I G H T } } + 2 0 _ { \\mathrm { \\tiny ~ E I G H T } } + 5 _ { \\mathrm { \\tiny ~ E I G H T } }\n$$\n\n8 十的替代品\n\n59","previous_page":58,"next_page":60}