CSC
Computer Architecture HW Assignment1 Result.pdf

1 1 0 0 11 1 1 1 1 10 1 1 1 1 a cacad b acd c ababdac

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1 1 0 0 11 1 1 1 1 10 1 1 1 1 a- C`+AC+AD` b- A`+C+D` c- A`B`+A`B+D`+AC d- A+C+D e- A`C+A`C`+AC+AD` f- None of the above 5 - Given the following Boolean function in sum-of-products form F(A, B, C, D) = (0,2, 13, 15) i- Which one of the following represents the minterms of F; a- F=A`B`C`D`+ AB`CD` + ABC`D+ ABCD b- F=A`B`C`D`+ AB`CD` + ABC`D+ A`BCD c- F=A`B`C`D`+ AB`CD` + AB`C`D+ ABCD d- F=A`B`C`D`+ A`B`CD` + ABC`D+ ABCD e- F=A`B`C`D`+ AB`CD` + AB`C`D+ ABC`D f- None of the above ii- Use the K-map of F to select one of the following simplified sum of products (minterms). = AB CD 00 01 11 10 00 0 0 0 0 01 0 0 1 1 11 1 1 1 1 10 1 1 1 1 = = = AB CD 00 01 11 10 00 0 1 4 0 12 0 8 0 01 1 0 5 0 13 1 9 0 11 3 0 7 0 15 1 11 0 10 2 1 6 0 14 0 10 0

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a- F=A`BD` + ABD b- F=A`B`D + ABD c- F=A`B`D` + ABD d- F=A`B`D + ABD` e- F=A`B`D + A`BD` f- None of the above iii- Which one is the logic diagram of the simplified F using combinations of multiple inputs; NOT, AND, OR gates. a- b- c- d- e- f- None of the above ii- Using the following Don’t Care function d with F, which one of the following is the simplified function for (F+d) L in sum of product (minterms) d(A, B, C, D) = (1,3,9,11, 8,10,12, 14) K-map a- F=B`+A b- F=A`+B` c- C`+D d- B+C e- B`+C` f- None of the above = = AB CD 00 01 11 10 00 0 1 4 0 12 x 8 x 01 1 x 5 0 13 1 9 x 11 3 x 7 0 15 1 11 x 10 2 1 6 0 14 x 10 x F A B D A B D F A B D A B D F A B D A B D F A B D A B D F A B D A B D
6- Which one of the following represents F(X,Y,Z,W) in sum of products (minterms)? F(X,Y,Z,W)= (1,3,4,11, 7,10,12, 14) a- F=X`Y`Z`W+XYZ`W+XYZW+X`YZW+ X`Y`Z`W`+X`YZ`W`+XYZW`+X`Y`ZW b- F=X`Y`ZW`+XYZ`W+XYZW+X`YZW+ X`Y`Z`W`+X`YZ`W`+XYZW`+X`Y`ZW c- F=X`Y`ZW`+XYZ`W+XYZW+X`YZW+ XY`Z`W`+X`YZ`W`+XYZW`+X`Y`ZW d- F=X`Y`Z`W+X`Y`ZW+X`YZ`W`+XY`ZW+ X`YZW +XY`ZW`+XYZ`W`+XYZ`W e- F=X`Y`Z`W+X`Y`ZW+X`YZ`W`+XY`ZW+ X`YZW +XY`ZW`+XYZ`W`+XYZW` f- None of the above 7- Which one of the following represents the product of sums (maxterms) of; F(X,Y,Z)= Π (1,3,4,2, 7) a- F=(X`+Y`+Z)(X`+Y+Z)(X+Y`+Z`)(X`+Y+Z`)(X+Y+Z) b- F=(X`+Y`+Z)(X`+Y+Z)(X+Y`+Z`)(X`+Y+Z`)(X`+Y`+Z`) c- F=(X+Y+Z`)(X+Y`+Z`)(X`+Y+Z)(X+Y`+Z)(X`+Y`+Z`) d- F=(X`+Y`+Z)(X`+Y+Z)(X+Y`+Z`)(X+Y`+Z)(X`+Y`+Z`) e- F=(X+Y+Z`)(X`+Y+Z)(X+Y`+Z`)(X+Y`+Z)(X`+Y`+Z`) f-

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• Spring '10
• DR.WEEKS
• Boolean Algebra, +ABC

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