将二进制1011110转换为十进制,求步骤

\u5341\u8fdb\u5236\u6570\u8f6c\u6362\u6210\u4e8c\u8fdb\u5236\u6570\u7684\u8fc7\u7a0b

\u5341\u8fdb\u5236\u8f6c\u4e8c\u8fdb\u5236\uff1a
\u75282\u8f97\u8f6c\u76f8\u9664\u81f3\u7ed3\u679c\u4e3a1
\u5c06\u4f59\u6570\u548c\u6700\u540e\u76841\u4ece\u4e0b\u5411\u4e0a\u5012\u5e8f\u5199 \u5c31\u662f\u7ed3\u679c
\u4f8b\u5982302
302/2 = 151 \u4f590
151/2 = 75 \u4f591
75/2 = 37 \u4f591
37/2 = 18 \u4f591
18/2 = 9 \u4f590
9/2 = 4 \u4f591
4/2 = 2 \u4f590
2/2 = 1 \u4f590
\u6545\u4e8c\u8fdb\u5236\u4e3a100101110

\u4e8c\u8fdb\u5236\u8f6c\u5341\u8fdb\u5236
\u4ece\u6700\u540e\u4e00\u4f4d\u5f00\u59cb\u7b97\uff0c\u4f9d\u6b21\u5217\u4e3a\u7b2c0\u30011\u30012...\u4f4d
\u7b2cn\u4f4d\u7684\u6570\uff080\u62161\uff09\u4e58\u4ee52\u7684n\u6b21\u65b9
\u5f97\u5230\u7684\u7ed3\u679c\u76f8\u52a0\u5c31\u662f\u7b54\u6848
\u4f8b\u5982:01101011.\u8f6c\u5341\u8fdb\u5236:
\u7b2c0\u4f4d:1\u4e582\u76840\u6b21\u65b9=1
1\u4e582\u76841\u6b21\u65b9=2
0\u4e582\u76842\u6b21\u65b9\uff1d0
1\u4e582\u76843\u6b21\u65b9\uff1d8
0\u4e582\u76844\u6b21\u65b9\uff1d0
1\u4e582\u76845\u6b21\u65b9\uff1d32
1\u4e582\u76846\u6b21\u65b9\uff1d64
0\u4e582\u76847\u6b21\u65b9\uff1d0
\u7136\u540e\uff1a1\uff0b2\uff0b0
\uff0b8\uff0b0\uff0b32\uff0b64\uff0b0\uff1d107\uff0e
\u4e8c\u8fdb\u523601101011\uff1d\u5341\u8fdb\u5236107\uff0e

  (1011110)2

=(0101 1110)2

=(5E)16

=(5*16^1+14*16^0)10

=(5*16+14*1)1

=(80+14)10

=(94)10



(1011110)2
=(((((((0*2+1)*2+0)*2+1)*2+1)*2+1)*2+1)*2+0)10
=((((((1*2+0)*2+1)*2+1)*2+1)*2+1)*2+0)10
=(((((2*2+1)*2+1)*2+1)*2+1)*2+0)10
=((((5*2+1)*2+1)*2+1)*2+0)10
=(((11*2+1)*2+1)*2+0)10
=((23*2+1)*2+0)10
=(47*2+0)10
=(94)10

1×2^6+0×2^5+1×2^4+1×2^3+1×2^2+1×2^1+0×2^0

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