唔識,教我plz 要show steps ~~!快~

2011-05-23 3:18 am

If 1.▽represents 2^3 , ㊣ represents 2^2 ,▼ represents 2, ℅ represents unit, which symbols are used to represent 1001 (base 2)
A.▽℅
B.▽▼
C.▽㊣
D.㊣℅
E.㊣▼
2.In which of the following numerals does the digit 1 stand for "sixteen"?
(唔明, show steps plz)
A. 10 (base 2)
B. 100(base 2)
C. 1000 (base 2)
D. 10000(base 2)
E. 100000(base 2)

3. Express 35(base 10) in binary system. The first two steps are done for you.

圖片參考：http://imgcld.yimg.com/8/n/HA06863608/o/701105220102513873442620.jpg

4. Which of the following numeral in binary system represents "eleven"?
A.1011
B.1001
C.1010
D. 1100
E.1101

5.which is the correct expression to change 1011011 (base 2) into denary base?
A. 1x2+1x2+1x2+1x2+1
B. 1x2^5+1x2^4+1x2^3+1x2^2+1x2
C. 1x2^6+1x2^4+1x2^3+1x2+1
D. 1x2^7+1x2^5+1x2^4+1x2^2+1
E. 1x2^7+1x2^6+1x2^5+1x2^4+1x2^4+1x2+1

回答 (1)

Yogi

2011-05-24 3:02 am

✔ 最佳答案

你好～～～

以下都是敝人的一些意見～僅供參考～

1) 1001 (base 2) = 1 * 2^3 + 1 * 2^0 = 2^3 + 1

所以，答案為︰A.▽℅

2) 16 = 2^4

10000，最右的那一個零等於 0 * 2^0，右二的那個零是 0 * 2^1 = 0 * 2，右三的那個零是 0 * 2^2 = 0 * 4‧如此類推，第五個一的數值為 1 * 2^4 = 16

所以答案為 D。

3)

2 35
2 17 ...... 1
2 8 ...... 1
2 4 ...... 0
2 2 ...... 0
1 ...... 0

可以自己補回那些線的（L 形那些～）

由最底向右，再向上望～答案為︰100011 (base 2)

（一開始應該沒有餘數的～我指 35 右邊。）

4) 11 = 8 + 3 = 8 + 2 + 1 = 1 * 2^3 + 1 * 2^1 + 1 * 2^0

所以 11(base 10) = 1011(base 2)，答案為 A。

5) 1011011 = 1 * 2^6 + 0 * 2^5 + 1 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 1 * 2^0

= 1 * 2^6 + 1 * 2^4 + 1 * 2^3 + 1 * 2^1 + 1 * 2^0

= 1 * 2^6 + 1 * 2^4 + 1 * 2^3 + 1 * 2 + 1

所以答案為 C。

希望可以幫到你～～～～～

參考: Yogi

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