Question

二进制数111111转换成十进制

帮我做下：将二进制数111111(2)转换为十进制数为（ ）(10)

Answer 1

111111 = 1000000 - 1
2的6次方减1
= 2*2*2 * 2*2*2 - 1 = 8*8 - 1 = 64 - 1 = 63

Answer 2

(111111)2
=((((((0*2+1)*2+1)*2+1)*2+1)*2+1)*2+1)10
=(((((1*2+1)*2+1)*2+1)*2+1)*2+1)10
=(((((2+1)*2+1)*2+1)*2+1)*2+1)10
=((((3*2+1)*2+1)*2+1)*2+1)10
=((((6+1)*2+1)*2+1)*2+1)10
=(((7*2+1)*2+1)*2+1)10
=(((14+1)*2+1)*2+1)10
=((15*2+1)*2+1)10
=((30+1)*2+1)10
=(31*2+1)10
=(62+1)10
=(63)10