EE/CompE 243Digital LogicSession 10; Page 1/4Spring 2003COE/EE 243 Sample Exam from Fall 98Questions taken from 2 exams, so it is a bit longDo NOT use a calculator! You will probably need a piece of scratch paper.1. (5 pts) The maxterm expansion for Fxyx¼z is:(a) xyzxyz¼x¼y¼zx¼yz(b)xyz xy¼z x¼yz x¼yz¼ (c)xy x¼z (d)x¼y¼z¼ x¼yz xy¼z¼ xy¼z (e) none of the above2. (5 pts) Multiply FABCDE  ABCD C¼D C¼DE out and simplify to obtainthe sum of 2 products(a) ABC¼D(b) ABDECD(c) AEC¼DE(d) ABEC¼(e) none of the above3. (5 pts) The complement of F1xy¼z¼yz is:(a) xy¼z¼ yz (b) x¼yz y¼z¼ (c) x¼yzy¼z¼ (d)x¼yz xyz¼ (e) none of the above4. (4 pts) The minterm expansion forFABC  ABC AB¼C¼ A¼BC¼ A¼B¼C is:(a) FABC ∑m0356 (b) FABC ∏M1247 (c) FABC ∑m1247 (d) FABC ∏M0356 (e) none of the aboveEE/CompE 243Digital LogicSession 10; Page 2/4Spring 20035. (4 pts) A circuit with three inputs, A,B, and C, is tested for all combinations of inputs. The outputis “1” when exactly one of the inputs is “1”. This circuit can be represented by the which of thefollowing boolean expressions (assume positive logic):(a) fABC ABC¼AB¼CA¼BC(b) fABC  A¼B¼C A¼BC¼ AB¼C¼ (c) fABC A¼B¼CA¼BC¼AB¼C¼(d) fABC ABC(e) none of the above6. (5 pts) Simplify FABC ∏M1456 to a product of 2 sums:(a)ABC¼ A¼BC A¼BC¼ A¼B¼C (b)AB¼C¼ A¼B¼C (c)BC¼ A¼C (d)A¼BC¼ AC (e) none of the above7. (5 pts) The minterm expansion for F(A,B,C) in the diagram below is:FBAC(a) A¼C¼BC(b) A¼BC¼ABC(c) ABCAB¼CAB¼C¼A¼B¼C¼(d) A¼B¼C¼A¼BC¼A¼BCABC(e) none of the aboveEE/CompE 243Digital LogicSession 10; Page 3/4Spring 20038. (5 pts) The minimum expression for the network shown below is:FABCD(a)A¼DB (b)DA¼B ¼ BC ¼ ¼(c)AB¼D B¼C¼(d) BC(e) none of the above9. (6 pts) Complete the following table of equivalent values.Binary Octal Decimal Hexadecimal1101.010131.2510. (6 pts) Calculate the followinga)10111 2times110 2b)1001 2minus0110 2EE/CompE 243Digital LogicSession 10; Page 4/4Spring 200311. (9 pts) Calculate the followinga)11001 2plus101 2b)11010 2minus10101 2using 1’s complement representationc)1101 2times1001 212. (9 pts) Complete the following table of equivalent values. Use binary numbers with a sign bit and5 bits for the valueDecimal Signed Magnitude Two’s Complement One’s