x(y) mean x in y 進制
11(10) = A
12(10) = B
13(10) = C
14(10) = D
15(10) = E
Question 1.
1234(10) = ? (16) = ? (15) = ? (14) = ? (13) = ? (12) = ? (11) = ? (9) = ? (8) = ? (7) = ? (6) = ? (5) = ? (4) = ? (3) = ? (2)
Question 2.
11011 (2) = ? (9)
Qusestion 3.
201202 (3) = ? (13)
Qusestion 4.
3103020 (4) = ? (11)
數學知識交流---進制問題(1)
2011-06-16 1:49 am
回答 (2)
2011-06-16 2:17 am
✔ 最佳答案
Question 1.1234(10)
= 4D2 (16) = 574 (15) = 642 (14) = 73C (13) = 86A (12)
= A22 (11) = 1621 (9) = 2322 (8) = 3412 (7) = 5414 (6)
= 14414 (5) = 103102 (4) = 1200201 (3) = 10011010010 (2)
Question 2.
11011 (2) = 2^0 + 2^1 + 2^3 + 2^4 (10) = 27 (10) = 30 (9)
Qusestion 3.
201202 (3) = 2*(3^0) + 2*(3^2) + 3^3 + 2*(3^5) (10) = 533 (10) = 320 (13)
Qusestion 4.
3103020 (4) = 2*4 + 3*(4^3) + 4^5 + 3*(4^6) (10) = 13512 (10) = A174 (11)
參考: Hope I Can Help You ^_^
2011-06-16 3:39 am
Question 1.
1234(10)=4C2(16),574(15),642(14),73B(13),86F(12)(F=10),?22(11)(F=10),1621(9),2322(8),3412(7),5414(6),14414(5),103102(4),1200201(3)
10011010010(2)
Question 2.
11011(2)=(2*2*2*2*1)+(2*2*2*1)+(2*2*0)+(2*1)+1
=16+8+2+1
=27(10)
=30(9)
Question 3.
201202(3)=(3*3*3*3*3*2)+(3*3*3*3*0)+(3*3*3*1)+(3*3*2)+(3*0)+2
=486+27+18+2
=533(10)
=320(13)
Question 4.
3103020(4)=(4*4*4*4*4*4*3)+(4*4*4*4*4*1)+(4*4*4*4*0)+(4*4*4*3)+(4*4*0)+(4*2)+0
=12288+1024+192+8
=13512(10)
=61B5(13)
1234(10)=4C2(16),574(15),642(14),73B(13),86F(12)(F=10),?22(11)(F=10),1621(9),2322(8),3412(7),5414(6),14414(5),103102(4),1200201(3)
10011010010(2)
Question 2.
11011(2)=(2*2*2*2*1)+(2*2*2*1)+(2*2*0)+(2*1)+1
=16+8+2+1
=27(10)
=30(9)
Question 3.
201202(3)=(3*3*3*3*3*2)+(3*3*3*3*0)+(3*3*3*1)+(3*3*2)+(3*0)+2
=486+27+18+2
=533(10)
=320(13)
Question 4.
3103020(4)=(4*4*4*4*4*4*3)+(4*4*4*4*4*1)+(4*4*4*4*0)+(4*4*4*3)+(4*4*0)+(4*2)+0
=12288+1024+192+8
=13512(10)
=61B5(13)
參考: me(a 10 year old boy)
收錄日期: 2021-04-13 18:01:52
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https://hk.answers.yahoo.com/question/index?qid=20110615000051KK00744