Q. Convert the octal number 0.4051 into its equivalent decimal number.

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Q. The hexadecimal equivalent of the octal number 2357 is:

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Q. If X is a binary number which is power of 2, then the value of X&(X-1) is:

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Q. The Boolean function [~ (~p˄q)˄~(~p˄~q)]˅(p˄r) is equal to the Boolean function:

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Q. The octal number 326.4 is equivalent to

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Q. Which of the following is the most efficient to perform arithmetic operations on the numbers?

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Q. Match the following:

List – I                                    List – II
a. Controlled Inverter              i. a circuit that can add 3 bits
b. Full adder                             ii. a circuit that can add two binary numbers
c. Half adder                             iii. a circuit that transmits a binary word or its
1’s complement
d. Binary adder                        iv. a logic circuit that adds 2 bits

Codes :
      a    b    c   d

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Q. Which of the following 2 input Boolean logic functions is linearly inseparable?

(a) AND             (b) OR
(c) NOR             (d) XOR
(e) NOT XOR

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Q. The three outputs x1x2x3 from the 8x3 priority encoder are used to provide a vector address of the form 101x1x2x300. What is the second highest priority vector address in hexadecimal if the vector addresses are starting from the one with the highest priority?

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Q. Which of the following statement(s) is(are) not correct ?

i. The 2's complement of 0 is 0.
ii. In 2's complement, the left most bit cannot be used to express a quantity.
iii. For an n-bit word (2's complement) which includes the sign bit, there are 2^n-1 positive integers, 2^n+1 negative integers and one 0 for a total of 2^n unique states.
iv. In 2's complement the significant information is contained in the 1's of positive numbers and 0's of the negative numbers.

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Q. The sum of products expansion for the function

F(x, y, z) = (x + y)z’

is given as

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Q. What will be the output of the following logic diagram?

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Q. The IEEE single-precision and double-precision format to represent floating-point numbers, has a length of ................. and ................ respectively.

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Q. If F and G are Boolean functions of degree n. Then, which of the following is true?

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Q. Match the following identities/laws to their corresponding name:

(a) x + x = x
x • x = x                      i. Dominance
(b) x + 0 = x
x • 1 = x                      ii. Absorption
(c) x + 1 = 1
x • 0 = 0                      iii. Idempotent
(d) x • (x + y) = x           iv. Identity

Codes:
     (a)  (b)  (c)  (d)

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Q. How many different Boolean functions of degree 4 are there?

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Q. A Boolean operator Ө  is defined as follows:

1Ө1=1, 1Ө0=0, 0Ө1=0 and 0Ө0=1

What will be the truth value of the expression (xӨy)Өz = xӨ(yӨz)?

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Q. Which one of the following is decimal value of a signed binary number 1101010, if it is in  2's complement form?

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Q. A set of processors P1, P2, ......, Pk can execute in parallel if Bernstein's conditions are satisfied on a pair wise basis; that is
P1 || P2 || P3 || ..... || Pk if and only if:

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Q. The simplified function in product of sums of Boolean function F(W, X, Y, Z) = Σ(0, 1, 2, 5, 8, 9, 10) is

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