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計算機結構課程 -- 筆記、習題與報告
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第三週 課堂習題 請證明 ALU 中的一條等式 #16

Open ccckmit opened 2 years ago

ccckmit commented 2 years ago

ALU 表格中

zx  nx  zy  ny  f   no        not(x+not y)
0   0   0   1   1   1         y-x

請證明 not(x+not y) = y-x

Paouser commented 2 years ago

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timmy61109 commented 2 years ago

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F= \overline{X + \bar{Y}} = \bar{X} \bar{\bar{Y}} = \bar{X} Y\\

-A = \bar{A} + 1\\

\bar{A} = -A-1\\

令 \bar{Y} = -A-1\\

F= \overline{X + -A-1} = (X - Y - 1) - 1 = -X+Y+1-1 = Y-X \\
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