我想問一d進制問題 - Ans.fyi 參考答案

我想問一d進制問題

用戶231140

2007-08-06 11:04 pm

1)Write １０１１１2 in the expanded form.
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2)Write Ｅ８Ａ16　in the expanded form.
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Convert the following binary numbers into decimal numbers.
3) １１１１１2　　　　4) １０１０１０１2
Convert the following hexadecimal numbers into decimal numbers.
5) Ａ７16　　　　6) ＣＤＥ16
Convert the following numbers into (ⅰ) binary numbers (ⅱ) hexadecimal numbers
7)28 8)257

回答 (1)

志仁

2007-08-06 11:19 pm

✔ 最佳答案

1)
10111 (2) =1(2)^4 + 0(2)^3 + 1(2)^2 + 1(2)^1+ 1(2)^0

2)

E8A (16)
=14(16)^2 + 8(16)^1 + 10(16)^0

3)

11111 (2) = 1(2)^4 + 1(2)^3 + 1(2)^2 + 1(2)^1+ 1(2)^0
=16 + 8 +4 +2 +1 = 31

4)

1010101 (2) = 1(2)^6 + 0(2)^5 + 1(2)^4 + 0(2)^3 + 1(2)^2 + 0(2)^1+ 1(2)^0
=64 + 16 + 4 + 1 = 85

5)

A7 (16)
=10(16)^1 + 7 (16)^0 =160+7=167

6)

CDE (16)
=12 (16)^2 + 13 (16)^1 + 14(16)^0
=3072+208+14=3294

7)

28/2=14.....0
14/2=7.......0
7/2=3........1
3/2=1........1

28=11100 (2)

28/16=1.....12

28=1C (16)

8) 257

257/2=128.....1
128/2=64.......0
64/2=32.........0
32/2=16.........0
16/2=8...........0
8/2=4.............0
4/2=2.............0
2/2=1.............0

257=100000001 (2)

257/16=16......1
16/16=1..........0

257 = 101 (16)

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