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演習問題 1.1 解答例(1)

演習問題 1.1 解答例(1). 1. 4桁の16進数: (0111 0000 1000 0111) 2 = #7087. 10進数: (0111 0000 1000 0111) 2 = 7 * 2 12 + 0 * 2 8 + 8 * 2 4 + 7 * 2 0 = 7*4096+0*256+8*16+7*1 = 28672+128+7. = 28807. 2. 16桁の2進数: #200B = (0010 0000 0000 1011) 2 . 10進数: #200B

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演習問題 1.1 解答例(1)

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  1. 演習問題 1.1 解答例(1) 1. 4桁の16進数: (0111 0000 1000 0111)2 = #7087. 10進数: (0111 0000 1000 0111)2 = 7 * 212 + 0 * 28 + 8 * 24 + 7 * 20 = 7*4096+0*256+8*16+7*1 = 28672+128+7. = 28807. 2. 16桁の2進数: #200B = (0010 0000 0000 1011)2. 10進数: #200B = 2*163 +11 = 8203.

  2. 演習問題 1.1 解答例(2) 3. 16桁の2進数: 30000 を2で割って商と余りを得て，その商をまた2で割って商と余りを得るという操作を再帰的に繰り返し，得られた余りを下位ビットから並べれば (0111 0101 0011 0000)2. 4桁の16進数: 上の結果から #7530. 4. 16桁の2進数: 30000 の２進表現は (0111 0101 0011 0000)2だからそれに対する２の補数をとって (1000 1010　1101 0000)2. 4桁の16進数: 上の結果から #8AD0.

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