F.3Mathematics/Laws of indices

2011-09-25 7:50 am
1.(a)Represent the expresson2^6 +1as a binary number.
(b)Represent the expresson1x16^3 +10x16^2+13x16=3 as a hexadecimal number.
2. Consider the number 5648.
(a)What is the place value of each digit?
(b)Write 5648 in the expanded form.
3. Convert BA03(16) inro binary number.

回答 (2)

2011-09-25 8:15 am
✔ 最佳答案
1.
(a)
2^6 + 1
= 1´2^6 + 0´2^5 + 0´2^4 + 0´2^3 + 0´2^2 + 0´2 + 1
= 1000001(2)

(b)
1´16^3 + 10´16^2 + 13x16 + 3
= 1AD3(16)


2.
(a)
The place value of the digit '5' = 1000
The place value of the digit '6' = 100
The place value of the digit '4' = 10
The place value of the digit '8' = 1

(b)
5648
= 5´1000 + 6´100 + 4´10 + 8
= 5´10^3 + 6´10^2 + 4´10 + 8


3.
B(16) = 11(10) = 1011(2)
A(16) = 10(10) = 1010(2)
0(16) = 0(10) = 0000(2)
3(16) = 3(16) = 0011(2)

BA03(16) = 1011101000000011(2)
參考: 賣女孩的火柴
2011-09-28 6:53 am
thx a lot !!

2011-09-27 22:58:33 補充:
But D 答案好像有點問題!


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