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論理あっしゅ君
論理あっしゅ君
bin ( 4 ) 1011110111100111
真理値
| a | b | c | d | Output |
| 0 |
0 |
0 |
0 |
1 |
| 0 |
0 |
0 |
1 |
0 |
| 0 |
0 |
1 |
0 |
1 |
| 0 |
0 |
1 |
1 |
1 |
| 0 |
1 |
0 |
0 |
1 |
| 0 |
1 |
0 |
1 |
1 |
| 0 |
1 |
1 |
0 |
0 |
| 0 |
1 |
1 |
1 |
1 |
| 1 |
0 |
0 |
0 |
1 |
| 1 |
0 |
0 |
1 |
1 |
| 1 |
0 |
1 |
0 |
1 |
| 1 |
0 |
1 |
1 |
0 |
| 1 |
1 |
0 |
0 |
0 |
| 1 |
1 |
0 |
1 |
1 |
| 1 |
1 |
1 |
0 |
1 |
| 1 |
1 |
1 |
1 |
1 |
加法標準形 (with ~) = ~a~b~c~d + ~a~bc~d + ~a~bcd + ~ab~c~d + ~ab~cd + ~abcd + a~b~c~d + a~b~cd + a~bc~d + ab~cd + abc~d + abcd
加法標準形 (with overline) = abcd + abcd + abcd + abcd + abcd + abcd + abcd + abcd + abcd + abcd + abcd + abcd
乗法標準形 (with ~) = (a + b + c + ~d) (a + ~b + ~c + d) (~a + b + ~c + ~d) (~a + ~b + c + d)
乗法標準形 (with overline) = (a + b + c + d) (a + b + c + d) (a + b + c + d) (a + b + c + d)
複数の最簡形が存在します
最簡形 (with ~) =
~b~d + abc + a~cd + ~acd + ~ab~c
bd + ac~d + a~b~c + ~a~bc + ~a~c~d
最簡形 (with overline) =
bd + abc + acd + acd + abc
bd + acd + abc + abc + acd
カルノー図
| cd |
cd |
cd |
cd |
| ab |
1 |
0 |
1 |
1 |
| ab |
1 |
1 |
1 |
0 |
| ab |
0 |
1 |
1 |
1 |
| ab |
1 |
1 |
0 |
1 |