!RET & (!DFTRAMBYP | (TENA & QNAPA & CENA) | (TENA & TONAPA & TCENA)) & EMAA[2] & EMAA[1] & EMAA[0] & EMASA split this to sum of product form
时间: 2024-01-31 16:04:00 浏览: 72
To convert the given logical expression into a sum of products form, we need to follow these steps:
1. Apply De Morgan's law to eliminate the negation operator (!):
!RET AND (DFTRAMBYP OR (!TENA OR !QNAPA OR !CENA) OR (!TENA OR !TONAPA OR !TCENA)) AND EMAA[2] AND EMAA[1] AND EMAA[0] AND EMASA
2. Distribute the AND operator over the OR terms:
(!RET AND DFTRAMBYP AND EMAA[2] AND EMAA[1] AND EMAA[0] AND EMASA) OR
(!RET AND !TENA AND !QNAPA AND !CENA AND EMAA[2] AND EMAA[1] AND EMAA[0] AND EMASA) OR
(!RET AND !TENA AND !TONAPA AND !TCENA AND EMAA[2] AND EMAA[1] AND EMAA[0] AND EMASA)
3. Simplify each term by removing redundant variables:
(!RET AND DFTRAMBYP AND EMAA[2] AND EMAA[1] AND EMAA[0] AND EMASA) OR
(!RET AND !TENA AND !QNAPA AND !CENA AND EMAA[2] AND EMAA[1] AND EMAA[0] AND EMASA) OR
(!RET AND !TENA AND !TONAPA AND !TCENA AND EMAA[2] AND EMAA[1] AND EMAA[0] AND EMASA)
Therefore, the sum of products form of the given logical expression is:
(!RET AND DFTRAMBYP AND EMAA[2] AND EMAA[1] AND EMAA[0] AND EMASA) OR
(!RET AND !TENA AND !QNAPA AND !CENA AND EMAA[2] AND EMAA[1] AND EMAA[0] AND EMASA) OR
(!RET AND !TENA AND !TONAPA AND !TCENA AND EMAA[2] AND EMAA[1] AND EMAA[0] AND EMASA)
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