MATH f.1升f.2

ddobtn

2008-08-20 6:45 pm

1.find two possible 3-digit denary number such the each that of them can be converted into a 8-digit binary number and a 2-digit hexadecimal .

2.find twwo possible binary number which are divisible 6 and 8 when they are converted into denary numbers.

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回答 (1)

Uncle Michael

2008-08-20 7:25 pm

✔ 最佳答案

1.
Ans: 128 and 255
(The answer could be any number from 128 to 255 inclusively.)

8-digit binary number: from 100000002 to 111111112
100000002 = 1x27 = 128
111111112 = 1x27 + 1x26 + 1x25 + 1x24 + 1x23 + 1x22 + 1x21 + 1 = 255
The number is from 128 to 255.

2-digit hexadecimal number: from 1016 to FF16
1016 = 1x16 = 16
FF16 = 15x16 + 15 = 255
The number is from 16 to 255.

Hence, the number should be from 128 to 255.

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2.
Ans: 110002 to 1100002

24 and 48 are divisible by 6 and 8.

24 = 16 + 8 = 1x24 + 1x23 + 0x22 + 0x21 + 0x1 = 110002

48 = 32 + 16 = 1x25 + 1x24 + 0x23 + 0x22 + 0x21 + 0x1 = 1100002
=

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