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practice test with sol

practice test with sol - 1(True/False Circle T or F on...

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1 1. (True/False) Circle T or F on answer sheet. 2 pts each. a) T F ((x + y) . z’)’ = (x’ . y’) + z b) T F x . (X’ + y) = y + x . y c) T F x + x.y’.z = x + x d) T F Given F(x,y) = x’ . y’ + x . y’ then F’(x,y) = x’.y+ x.y’ e) T F (A’ + B) . A = A’ 2. (Fill in the blank) Be sure to transfer your answers to the answer sheet. 3 pts each. a) (129) 10 = (010000001) 2 b) (-129) 10 = (101111111) 2 in two’s complement. c) The Boolean expression F (w,x,y,z) = (x + y).(w’+x’z’ + y’) expressed in summa- tion of minterm form is F (w,x,y,z) = Σ w,x,y,z (2,3,4,5,6,7,10,12,13) d) The decimal representation of the binary number (010111001) 2 is 185. e) The next state equation for a JK flip-flop is Q * = JQ’ + K’Q . 3. (Multiple choice) Be sure to transfer your answers to the answer sheet. 3 pts each. M1. The dual function of F(A,B,C) = B + A’C can be written as a) B.(A’ + C) b) B’ + AC’ c) B’(A+C’) M2. The output of the circuit shown can be written as: a) A + B + C + D + E + F b) A.B.C + D.E.F c) A.B.C.D.E.F M3. Given the K-Map of a 3-variable function F(A,B,C), the two essential prime implicants are: a) AB and AC b) AC and BC’ c) B’C and BC’ d) AB and B’C e) None of the above A B C D E F AB C 0 1 1 0 1 0 1 1
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2 M4. The output of the circuit shown below can be written as: a) A’B’ + AB b) AB’ + AB c) AB’ + A’B M5.
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