题目209:数字逻辑
Circular LogicA k-input binary truth table is a map from k input bits (binary digits, 0 or 1 ) to 1 output bit. For example, the 2-input binary truth tables for the logical AND and XOR functions are:
How many 6-input binary truth tables, τ, satisfy the formula
τ(a, b, c, d, e, f) AND τ(b, c, d, e, f, a XOR (b AND c)) = 0
for all 6-bit inputs (a, b, c, d, e, f)?
题目:
一个 k 向输入的二元真值表是 k 个输入的比特(二元值,0 为假,1 为真)到一个输出比特的映射。比如,对于 k 为 2 的输入,逻辑 AND(且)和XOR(异或)的二元真值表如下:
请问,6 个输入比特时,有多少个真值表 τ ,对于所有的 6 向输入 (a, b, c, d, e, f),都满足下面的表达式?
τ(a, b, c, d, e, f) AND τ(b, c, d, e, f, a XOR (b AND c)) = 0
建议你去看一下有关逻辑代数的书籍,比如数字电子基础等书,我看过《编码的奥秘》里面也讲过你也可以看看。希望对你有帮助。
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