5 # 2 = 1 (.01) 2 Hence (B) is correct option. (D) cannot be represented precisely in binary. The decimal value of 0.25 (A) is equivalent to the binary value 0.1 (B) is equivalent to the binary value 0.01 (C) is equivalent to the binary value 0.00111. There are 2 quads possible xz' + x'z Hence (B) is correct option. Minimum sum of product expression for f (w, x, y, z) shown in Karnaugh-map below is Which one of the following is the correct state sequence of the circuit ? (A) 1, 3, 4, 6, 7, 5, 2 The state of the circuit is given by the value 4Q2 + 2Q1 + Q 0 5Ĭonsider the circuit given below the initial state Q 0 = 1, Q1 = Q2 = 0. g = ax 1' + bx1 Output of MVX 2 f = gx 2' + x1 x2 f = (ax 1' + bx1) x 2' + x1 x2 f = ax 1' x 2' + bx1 x 2' + x1 x2 Given a = 1, b = 0 f = x 1' x 2' + x1 x2 Hence (C) is correct option. Output of any 2:1 MUX = ac' + bc Here output of MUX 1. Which of the following is true ? (A) f = x1' + x2 The output of a 2:1 Mux is given by the function (ac' + bc). The 2’s complement representation of (− 539) 10 is hexadecimal is (A) ABEīinary : 0010 0001 1011 2's comp : 1101 1110 0101 Hexadecimal D E 5 (DES) 16 Hence (C) is correct option. Which one is the correct plot of Y ? Figure Figure Consider the following timing diagrams of X and C the clock period of C $ 40 nanosecond. The D flip-flops are positive edged triggered and have set up times 20 nanosecond and hold times 0. Which one is the correct plot of YĬonsider the following circuit with initial state Q 0 = Q1 = 0. The D flip-flops are positive edged triggered and have set up times 20 nanosecond and hold times 0.Ĭonsider the following timing diagrams of X and C the clock of C $ 40 nanosecond. y'z + yx So xy + y'z Hence (A) is correct option.Ĭonsider the following circuit with initial state Q 0 = Q1 = 0. Given the following Karnaugh map, which one of the following represents the minimal sum-of-Products of the map ? GATE CS Topic wise Questions Digital Logic

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