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Digital Logic T...

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  • Question 1
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    The Boolean expression A̅⋅B + A.B̅ + A.B is equivalent to

  • Question 2
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    Which of the following set of components is sufficient to implement any arbitrary boolean function?

  • Question 3
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    The minimum number of bits required to represent -12810 in 2's complement form and signed form respectively are:

  • Question 4
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    If there are p input lines and q output lines for a decoder that is used to uniquely address a byte-addressable 64 KB RAM, then the minimum value of p + q is ______.

  • Question 5
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    The representation of the value of a 32 bit unsigned integer X in hexadecimal number system is ABCDEF98. The representation of the value of X in octal number is

  • Question 6
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    Consider the binary number in 32-bit (single precision) IEEE-754 format:

    00110010001101100000000000000000

    What is the decimal value closest to the above given floating-point number?

  • Question 7
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    If F(P, Q) = \(\overline {P + \bar Q + PQ} \) then what is the value of F(F(M, N̅), M + N)

  • Question 8
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    Which of the following is not equivalent to (a ⊕ b) if ⊕ and ⊙ denote the Exclusive OR and Exclusive NOR operation respectively?

  • Question 9
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    The minimum number of NAND gates required to implement the Boolean function \(A +A\bar B+AB\bar C\) is equal to

  • Question 10
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    Consider the equation (146)b​ + (313)​b-2​ = (246)8. Which of the following is the value of b?

  • Question 11
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    Consider three registers R1, R2 and R3 that store numbers in IEEE-754 single precision floating point format. Assume that R1 and R2 contain the values (in hexadecimal notation) 0x42200000 and 0xC1200000, respectively.

    If R3 \(= \frac{{R1}}{{R2}},\) what is the value stored in R3?

  • Question 12
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    The next state table of a 2-bit saturating up-counter is given below.

    Q1

    Q0

    \({Q_{1}^{+}}\)

    \({Q_{0}^{+}}\)

    0

    0

    1

    0

    0

    1

    0

    1

    1

    0

    1

    0

    1

    1

    0

    1


    The counter is built as a synchronous sequential circuit using T flip-flops. The expressions for T1 and T0 are

  • Question 13
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    How many pulses are needed to change the contents of a n-bit upcounter from x10 to y10 if x > y and x is less than 2n?

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