1. Convert the following binary numbers(二進制) into decimal numbers(十進制).
(a)11111 (b)1010101
2. Convrt the following hexadecimal numbers(十六進制) into decimal numbers(十進制).
(a)A7 (b)CDE
3. Convrt the following decimal numbers(十進制) into binary numbers(二進制) and hexadecimal numbers(十六進制).
(a)28 (b)257
4. 四進制&八進制的 numerals & place values
5. Convert 75 into quaternary(四進制) & octad(八進制)
要有steps & 解釋
唔該幫幫忙,因為我未學過!!THX!!
有關進制的數學問題一問F.1-F.2
2009-07-23 9:58 pm
回答 (2)
2009-07-23 11:27 pm
✔ 最佳答案
1a. 1*2^4 + 1*2^3 + 1*2^2 + 1*2^1 + 1 = 16 + 8 + 4 + 2 + 1 = 311b. 1*2^6 + 1*2^4 + 1*2^2 + 1 = 64 + 16 + 4 + 1 = 85.
2a. 10*16^1 + 7 = 160 + 7 = 167.
2b. 12*16^2 + 13*16^1 + 14 = 3072 + 208 + 14 = 3294.
3a. 28/2 = 14 remainder .....0
14/2 = 7 " ......0
7/2 = 3 " ......1
3/2 = 1 " .......1
so answer is 11100.
28/16 = 1 remainder ..... 12
so answer is 1C.
3b. 257/2 = 128 remainder ...... 1
128/2 = 64 " ........0
64/2 = 32 " ........0
32/2 = 16 " .........0
16/2 = 8 " .......0
8/2 = 4 " ......0
4/2 = 2 " .......0
2/2 = 1 " .......0
so answer is 100000001.
257/16 = 16 remainder ....1
16/16 = 1 " ....0
so answer is 101.
4. For quaternary, numerals are 0,1,2 and 3. Place values are 4^1, 4^2 etc.
For octad, numerals are 0,1,2,3,4,5,6, and 7. Place values are 8^1, 8^2 etc.
5.
75/4 = 18 remainder ......3
18/4 = 4 " .......2
4/4 = 1 " ......0
so answer is 1023.
75/8 = 9 remainder ..... 3
9/8 = 1 " .......1
so answer is 113.
2009-07-23 10:05 pm
F.2只會教2,10,16進制
收錄日期: 2021-04-25 22:39:42
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