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295.

The control signal functions of a 4-bit binary counter are given below (where X is “don’t care”):

Clear Clock Load Count Function

1 X X X Clear to 0

0 X 0 0 No change

0 ↑ 1 X Load input

0 ↑ 0 1 Count next

The counter is connected as follows:

Assume that the counter and gate delays are negligible. If the counter starts at 0, then it cycles through the following sequence: [2 marks]
(A) 0, 3, 4
(B) 0, 3, 4, 5
(C) 0, 1, 2, 3, 4
(D) 0, 1, 2, 3, 4, 5

asked in Computer Science And Engineering, 2007

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296.

In a look-ahead carry generator, the carry generate function G_i and the carry propagate function P_i for inputs A_iand B_i are given by :
P_i = A_i ⊕ B_i and G_i = A_iB_i
The expressions for the sum bit S_i and the carry bit C_i+1 of the look-ahead carry adder are given by:
S_i = P_i ⊕ C_i and C_i+1 = G_i + P_iC_i, where C_o is the input carry.
Consider a two-level logic implementation of the look-ahead carry generator.
Assume that all P_i and G_i are available for the carry generator circuit and that the AND and OR gates can have any number of inputs. The number of AND gates and OR gates needed to implement the look-ahead carry generator for a 4-bit adder with S₃,S₂,S₁,S₀ and C₄ as its outputs are respectively: [2 marks]
(A) 6, 3
(B) 10, 4
(C) 6, 4
(D) 10, 5

asked in Computer Science And Engineering, 2007

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297.

Suppose only one multiplexer and one inverter are allowed to be used to implement any Boolean function of n variables. What is the minimum size of the multiplexer needed?
[2 marks]
(A) 2ⁿ line to 1 line
(B) 2ⁿ⁺¹ line to 1 line
(C) 2ⁿ⁻¹ line to 1 line
(D) 2ⁿ⁻² line to 1 line

asked in Computer Science And Engineering, 2007

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298.

Define the connective * for the Boolean variables X and Y as: X * Y = XY + X'Y'.
Let Z = X *Y. Consider the following expressions P, Q and R.
πP : X = Y * Z
Q :Y = X * Z
R : X *Y * Z = 1
Which of the following is TRUE? [2 marks]
(A) Only P and Q are valid.
(B) Only Q and R are valid.
(C) Only P and R are valid.
(D) All P, Q, R are valid.

asked in Computer Science And Engineering, 2007

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299.

Let f (w, x, y, z) = ∑(0,4,5,7,8,9,13,15). Which of the following expressions are NOT equivalent to f ? [2 marks]
(P) x'y'z' + w'xy' + wy'z + xz
(Q) w'y'z' + wx'y' + xz
(R) w'y'z' + wx'y' + xyz + xy'z
(S) x'y'z' + wx'y' + w'y
(A) P only
(B) Q and S
(C) R and S
(D) S only

asked in Computer Science And Engineering, 2007

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300.

Which of the following languages is regular? [2 marks]
(A) {ww^R | w ε {0,1}⁺}
(B) {ww^Rx | x,w ε {0,1}⁺}
(C) {wxw^R | x,w ε {0,1}⁺}
(D) {xww^R | x,w ε {0,1}⁺}

asked in Computer Science And Engineering, 2007

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