{"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":211,"pdf_page":227,"physical_index":227,"physical_index_base":0,"printed_page_status":"recognized","page_sha256":"8414f4a4bec0a92205a28c3659317077e46ceabf6353f0563a25240d9ecf34d6"},"chapter":"编码隐匿在计算机软硬件背后的语言","content":"$$\n{ \\mathbf { 8 } } \\ { \\mathbf { M B } } = { \\mathbf { 8 } } , 3 { \\mathbf { 8 } } { \\mathbf { 8 } } , 6 0 { \\mathbf { 8 } } \\ { \\mathbf { B } } = 2 ^ { 2 3 } \\ { \\mathbf { B } }\n$$\n\n$$\n1 6 \\ \\mathbf { M } \\mathbf { B } = 1 6 , 7 7 7 , 2 1 6 \\ \\mathbf { B } = 2 ^ { 2 4 } \\ \\mathbf { B }\n$$\n\n$$\n\\mathbf { 3 2 \\ M B } = \\mathbf { 3 3 } , \\mathbf { 5 5 4 } , \\mathbf { 4 3 2 } \\ \\mathbf { B } = 2 ^ { 2 5 } \\ \\mathbf { B }\n$$\n\n$$\n6 4 ~ { \\mathrm { M B } } = 6 7 , 1 0 8 , 8 6 4 ~ { \\mathrm { B } } = 2 ^ { 2 6 } ~ { \\mathrm { B } }\n$$\n\n$$\n1 2 8 \\ \\mathrm { M B } = 1 3 4 , 2 1 7 , 7 2 8 \\ \\mathrm { B } = 2 ^ { 2 7 } \\ \\mathrm { B }\n$$\n\n$$\n2 5 6 ~ { \\mathrm { M B } } = 2 6 8 , 4 3 5 , 4 5 6 ~ { \\mathrm { B } } = 2 ^ { 2 8 } ~ { \\mathrm { B } }\n$$\n\n$$\n5 1 2 ~ { \\mathrm { M B } } = 5 3 6 , 8 7 0 , 9 1 2 ~ { \\mathrm { B } } = 2 ^ { 2 9 } ~ { \\mathrm { B } }\n$$\n\n$$\n1 , 0 2 4 ~ { \\bf M } { \\bf B } = 1 , 0 7 3 , 7 4 1 , 8 2 4 ~ { \\bf B } = 2 ^ { 3 0 } ~ { \\bf R } \\approx 1 0 ^ { 9 } ~ { \\bf B }\n$$\n\n希腊文中的giga意味着巨大，1024 MB也就被顺其自然地称为1吉（gigabyte）字节，缩写为GB。\n\n同理，1太字节（terabyte，teras希腊语意思为巨人）表示 $2 ^ { 4 0 }$ 个字节（约为 $1 0 ^ { 1 2 } \\ .$ 也就是1,099,511,627,776个字节，太字节的缩写为TB。\n\n1KB近似为1000个字节，1MB近似为100万个字节，1GB近似为10亿个字节，1TB近似为1万亿个字节。\n\n比 TB 还高数量级平时一般很少使用，比如 $2 ^ { 5 0 }$ 个字节表示为1批字节（petabyte）,计算出来就是1,125,899,906,842,624个字节，约等于一千万亿，即 $1 0 ^ { 1 5 }$ 字节。1安字节(exabyte)代表 $2 ^ { 6 0 }$ 个字节，也就是1,152,921,504,606,846,976个字节，约为100万的3次方，即1018。\n\n我们来补充一些生活中的基本常识。在写本书时（1999年），家用电脑的随机存储器的容量一般为32MB、64MB或128MB（为了避免混淆，这里的任何描述都不涉及硬盘驱动器的任何内容，范围仅仅限定为RAM)，通过计算可以得到它们的存储大小分别为33,554,432个字节、67,108,864个字节和134,217,728个字节。\n\n简洁明了是我们人类交流方式的一大特色。比如，家中电脑内存大小如果为65,536字节，我们会说“我的是64K（这句话很可能是在1980年听到的)”；家中电脑内存大小如果为33,554,432字节，我们会说“我的是32M”。有少数电脑配备了1,073,741,824字节的内存，他们或许会说“我的可是上了G的（有时这句话的英文表述会让人误以为你在谈论音乐———I've got a gig )”。\n\n10 存储器组织\n\n211","previous_page":210,"next_page":212}