指數與數制 請c兄們教下我

2009-08-01 6:00 pm
對於下列各十進數,寫出2個數字的位值
A 1132 B 215

把下列各數式寫為十進數
A 4X10"2+8X10+1 B 5X10"4+2X10"3+3X10+1

把下列各數式寫為二進數
A 1X2"2+1X2+1X1 B 1X2"3+0X2"2+1X2+0X1

把下列各數式寫為16進數
A 3X16"2+10X16"1+11 B 8X16"3+0X16"2+1X16"1+15

把下列各數式寫出數字的位值
A 11101(2) B 23A7(16)

以下展式表示
A 1101(2) B F99D(16)

把下列2進數化為10進數
A 10(2) B 110(2)

把下列10進數化為2進數
A 9 B 35

把下列16進數化為10進數
A 4E6B(16) B 4C59(16)

回答 (1)

2009-08-01 8:15 pm
✔ 最佳答案
1A. Place value of 2 is 1.
1B. Place value of 2 is 10^2 = 100.
2A. 481.
2B. 52031
3A. 111
3B. 1010
4A. 3AB
4B. 801F
5A. 1 x 2^4 + 1 x 2^3 + 1 x 2^2 + 0 x 2 + 1
5B. 2 x 16^3 + 3 x 16^2 + 10 x 16 + 7
6A. 1 x 2^3 + 1 x 2^2 + 0 x 2 + 1
6B. 15 x 16^3 + 9 x 16^2 + 9 x 16 + 13
7A. = 1 x 2 + 0 = 2
7B. = 1 x 2^2 + 1 x 2 + 0 = 4 + 2 + 0 = 6.
8A. 9/2 = 4 remainder .... 1
4/2 = 2 remainder..............0
2/2 = 1 remainder .............0
so result is 1001.
8B. 35/2 = 17 remainder ..... 1
17/2 = 8 " 1
8/2 = 4 " 0
4/2 = 2 " 0
2/2 = 1 " 0
so answer is 100011.
9A.
= 4 x 16^3 + 14 x 16^2 + 6 x 16 + 11 = 16384 + 3584 + 96 + 11
= 20075.
9B.
= 4 x 16^3 + 12 x 16^2 + 5 x 16 + 9 = 16384 + 3072 + 80 + 9
= 19545.



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