gbu94mz95e的部落格

標題:

F.1 ~ F.2 math (2)

發問:

Convert 2E1(16) into a denary number. " 110110(2) " " 37(10) " " 444(10) into a hexadecimal number. Convert the following binary numbers into hexadecimal numbers. (a) 10110112 (b) 111101110101 2 ... 顯示更多 Convert 2E1(16) into a denary number. " 110110(2) " " 37(10) " " 444(10) into a hexadecimal number. Convert the following binary numbers into hexadecimal numbers. (a) 10110112 (b) 111101110101 2 Convert the following hexadecimal numbers into binary numbers. (a) 9C16 (b) 24D16

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最佳解答:

Convert 2E1(16) into a denary number. 2E1(16) = 10 1110 0001(2) 110110(2) = 11 0110(2) = 36(16) 37(10) = 32 + 5 = 2x16 + 5 = 25(16) 444(10) = 256 + 176 + 12 = 1x162 + 11x16 + 12 = 1BC(16) Convert the following binary numbers into hexadecimal numbers. (a) 1011011(2) 1011011(2) = 101 1011(2) = 5D(16) (b) 111101110101(2) 111101110101(2) = 1111 0111 0101(2) = F75(16) Convert the following hexadecimal numbers into binary numbers. (a) 9C(16) = 1001 1100(2) (b) 24D(16) = 10 0100 1101(2) 以上問題中2進數和16進數是用下列對換表轉換 0000 = 0 0001 = 1 0010 = 2 0011 = 3 0100 = 4 0101 = 5 0110 = 6 0111 = 7 1000 = 8 1001 = 9 1010 = A 1011 = B 1100 = C 1101 = D 1110 = E 1111 = F 所以將二進數化十六進數是，我是由最右的位置每四個二進數作一組，後用上表直接變成十六數數，而16進數化二進數亦是用上表，每個十六進的數字變回一組四位的二進數。以上計法是全用心算，無用計數機。

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