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2的64次方减一怎么算,至少5步

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/24 11:22:42
2的64次方减一怎么算,至少5步
2的64次方减一
=2^64-1
=(2^32-1)(2^32+1)
=(2^16-1)(2^16+1)(2^32+1)
=(2^8-1)(2^8+1)(2^16+1)(2^32+1)
=(2^4-1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)
=(2^2-1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)
=(2-1)(2+1)(2^2+1)(2^4+1)(2^8+1)(2^16+1)(2^32+1)
=1x3x5x17x257x65537x4294967297
=255x257x65537x4294967297
=65535x65537x4294967297
=4294967295x4294967297
=1.844674407370955e+19