Question

7. Memory. A ROM chip with a size of 8 words by 4 bits is shown in the figure below. Please use this ROM chip, implement the following four logic functions by using the dot-notation. You can mark a dot to indicate that particular cell stores a value of 1. Note: in the following figure, A is the least significant bit of the address input. (10 points) F1= ABC +A C F2= ABC +BC F3= AC + B F4- ABC +AC 3:8 Decoder В — 100 011 010 001 000 F, F, F F,

Answer 1

Fi= Abet AE Converting to Standend form F = ABCH A E (B+B ) Fi= ABe + ABC + ABE Fiz ABT+ ABE F = motmail F2 = ABC ABC Ту = 3 + Вс (A+A ) F2= Abct Abct ABC F2 = mit mgtmil F3 = Attb Fs- ĀT (B+b)+B(A+Ā) (C+E) F3 = Ā Bit ABE+(ABt AB)(2+2) F3 = A BETA Bet ABC HABET ABC HABE F = ĀBet ĀBE+ABCt ABC +ĀBC Is= mat mot mat met my

Fu= ABCTAC Fu= ĀBct AC (Bti ) Fu= ĀBC+ ABC + ABC Fu = M3 + met my Til 3.8 ))) decoder 100 011 010 oot 000 Fu F3 F2 F