數(shù)字電子技術(shù)基礎(chǔ)第二章

1、ANOTY A序號(hào)序號(hào)公公 式式公公 式式1 A = A證明方法：推演 真值表左右BCABCCBABCACABACABA)()(1序 號(hào)公 式21A + A B = A22A +A B = A + B23A B + A B = A24A ( A + B) = A25A B + A C + B C = A B + A CA B A C + B CD = A B + A C26A (AB) = A B ; A (AB) = A CBABCACBABCBBABA)()()(代入以原變量反變量反變量原變量，0110YY變換順序變換順序 先括號(hào)，先括號(hào)，然后乘，最后加然后乘，最后加不屬于單個(gè)變量的不屬于

2、單個(gè)變量的上的反號(hào)保留不變上的反號(hào)保留不變DCBDACBCADCCBAYCDCBAY)()()(CBAY )(CBAY)( BAB)(BAA) )()(BABABABABABABABABA)() )()(）4個(gè)（22ABBABABA,）8個(gè)（32ABCCABCBACBABCACBACBACBA,ABCCABCBACBABCACBACBACBABACCBABCACBABCACBA)(與),()(),(763mBCAABCCABAABCCABBCCABCBAY利用公式利用公式可將任何一個(gè)函數(shù)化為可將任何一個(gè)函數(shù)化為1 AA im),()(),(763mBCAABCCABAABCCABBCCABCB

3、AY利用公式利用公式可將任何一個(gè)函數(shù)化為可將任何一個(gè)函數(shù)化為1 AA im),()(),(763mBCAABCCABAABCCABBCCABCBAY利用公式利用公式可將任何一個(gè)函數(shù)化為可將任何一個(gè)函數(shù)化為1 AA imDCBAACDBAADCBCDBDDCBDBCAADCBACBDBCDCBADCBAY)()(.)()(),(DCBAACDBAADCBCDBDDCBDBCAADCBACBDBCDCBADCBAY)()(.)()(),(DCBAACDBAADCBCDBDDCBDBCAADCBACBDBCDCBADCBAY)()(.)()(),(DCBAACDBAADCBCDBDDCBDBCAAD

4、CBACBDBCDCBADCBAY)()(.)()(),(）4個(gè)（22BABABABA,CBACBACBACBACBACBACBACBA imYikkmYikkmY)(kikkikMmYCBACYACDCBABCY21DBCBADCDBCBADEBAADCDBCBACDEBACBADCDBCBACCBADEBADBCACBADCDBCBACY )()()(DBCBADCDBCBADEBAADCDBCBACDEBACBADCDBCBACCBADEBADBCACBADCDBCBACY)()()(DBCBADCDBCBADEBAADCDBCBACDEBACBADCDBCBACCBADEBADBCAC

5、BADCDBCBACY)()()(DBCBADCDBCBADEBAADCDBCBACDEBACBADCDBCBACCBADEBADBCACBADCDBCBACY)()()(DBCBADCDBCBADEBAADCDBCBACDEBACBADCDBCBACCBADEBADBCACBADCDBCBACY)()()( im),()()(),CDDCDCCDBADBACCDCBABADBADCBADCBAYCBCBCACACBAY),(ABCCBCBCACACBAY),(CBCABAABCCBCBCACACBAY),(ABCCBBACACBCBCACACBAY),(CBCABACBBACAABCDDCACBADCDCAABDABCY DCACBADCDCAABDABCY ABCDDAABCD=0DCB+ADD+ABCD+ABCCB+ADCD+ABCBACD+BADCBABCDADCBAY 給定約束條件為：給定約束條件為：例：ABCD=0DCB+ADD+ABCD+ABCCB+ADCD+ABCBACD+BADCBABCDADCBAY 給定約束條件為：給定約束條件為：例：ABCDDADA =0DCB+ADD+ABCD+ABCCB+ADCD+ABCBACD+BAD