MATH f.1升f.2(indices and number systems)

ddobtn

2008-08-20 12:13 am

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.

點做&點計

吾系好識點樣計e啲進制既數

教吓我點計

吾該呀!!!

回答 (1)

追求自由

2008-08-21 9:35 pm

✔ 最佳答案

1) An 8-digit binary number is between 10000000 and 11111111. Convert into denary, they are between 128 and 255.
And, any 4 binary digits can be converted to 1 hexadecimal digit. Therefore, any 8-digit binary number can be converted to 2-digit dexadecimal number.

Therefore, any number between 128 and 255 meets the above condition.

2) The LCM of 6 and 8 is 24. Any multiple of 24 are divisible by 6 and 8.
The binary number of 24 is 11000.
Mulitple 24 by 2 is 48. The binary number of 48 is 110000.

👍 0 👎 0