題組內容
題目二:
NAND 是一種邏輯運算子(operator):a NAND b 定義成 NOT(a AND b)。NOR 也是一種邏輯運算子
(operator):a NOR b 定義成 NOT(a OR b)。請化簡下列運算式:(以 AND、OR、NOT 邏輯運算子表示)
(三)(a NAND b) NAND (a NAND b) 【4 分】
詳解 (共 7 筆)
詳解
Step 1: NOT(NOT(a AND b) AND NOT(a AND b)
Step 2: (a AND b) AND (a AND b)
Step 3: a AND b
詳解
( NOT(a AND b)) NAND ( NOT(a AND b))
NOT(NOT(a AND b) AND NOT(a AND b))
NOT(NOT(a AND b))
a AND b
詳解
(a NAND b) NAND (a NAND b)
=NOT(NOT(a AND b) AND NOT(a AND b))
=(a AND b) AND (a AND b)
=a AND b
詳解
=NOT(NOT(a AND b) AND NOT(a AND b))
=NOT(NOT(a AND b))
=a AND b
詳解
(a NAND b) NAND (a NAND b)
=(a NOT (a AND b) ) NAND (a NOT (a AND b) )
=(a NOT (a AND b) ) NOT ((a NOT (a AND b) ) AND (a NOT (a AND b) ) )
詳解
NOT (a AND b) NAND NOT (a AND b)
NOT NOT( (a AND b) AND (a AND b))
a AND b
詳解
none