{"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":367,"pdf_page":383,"physical_index":383,"physical_index_base":0,"printed_page_status":"recognized","page_sha256":"ff66fe1d605056d301a087481f6626c3dee0ce7b7c9a851122228860ac6fd23f"},"chapter":"编码隐匿在计算机软硬件背后的语言","content":"$$\n4 \\times 0 . 0 0 1\n$$\n\n最后，我们将该数表示为10的幂的形式：\n\n$$\n4 \\times 1 0 ^ { 4 } +\n$$\n\n$$\n2 \\times 1 0 ^ { 3 } +\n$$\n\n$$\n7 \\times 1 0 ^ { 2 } +\n$$\n\n$$\n0 \\times 1 0 ^ { 1 } +\n$$\n\n$$\n5 \\times 1 0 ^ { 0 } +\n$$\n\n$$\n6 \\times 1 0 ^ { - 1 } +\n$$\n\n$$\n{ \\bf 8 } \\times 1 0 ^ { - 2 } +\n$$\n\n$$\n4 \\times 1 0 ^ { - 3 }\n$$\n\n有一些有理数很难表示成小数，最明显的一个例子是1/3，如果用3来除1，会得到这样的结果：\n\n0.3333333333333333333333333333333333333333333333333333333333...\n\n在小数点的后面将会有无数个3。通过在第一个3的上面加一条短横线，可以将这个无限循环的数简单表示为：\n\n$$\n\\mathbf { 0 . \\bar { 3 } }\n$$\n\n尽管如此，把1/3表示为小数还不是很方便，但它毕竟是一个有理数，因为在本质上它是两个整数的比。类似的，1/7可以表示为：\n\n0.1428571428571428571428571428571428571428571428571428571...\n\n或\n\n0.142857\n\n无理数（irrationalnumber）是一些更加奇特的数，如2的平方根等。它们不能表示为两个整数的比，这就意味着其小数部分是无穷的，而且毫无规律，没有循环，例如：\n\n√2≈1.41421356237309504880168872420969807856967187537695...\n\n下面这个数学方程式的正数解就是2的平方根：\n\n23 定点数和浮点数\n\n367","previous_page":366,"next_page":368}