Q. (1217)₈ is equivalent to

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Q. P is a 16 – bit signed integer. The 2’s complement representation of P is (F87B)₁₆. The 2’s complement representation of 8 * p is

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Q. Find the radix 5 representation for the following decimal representation:
(39)₁₀ = ( ) ₅

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Q. Find the value of radix r, with the following equality is matached.

√(21)ᵣ = (11)ᵣ

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Q. How many bits are needed to represent 20 digit decimal number in binary?

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Q. Consider the following subtraction and Identify the correct answer.

(C012.25)₄ – (10111001110.101)₈

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Q. Let A = 11111010 and B = 00001010 be two 8 – bit 2's complement numbers. Their product in 2's complement is

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Q. The range of integers that can be represented by an n – bit 2's complement number system is

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Q. The switching expression corresponding to f(A, B,C, D) = Σ (1, 4, 5, 9, 11,12) is

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Q. What is the maximum number of different Boolean functions involving n boolean variables?

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Q. How many Boolean functions are possible with 2 trinary variables?

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Q. How many minimum 2-input nor gates are needed to realize A+BC?

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Q. Which of the following statement is true regarding ‘HAZARD’?

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Q. The min term expansion of f(P,Q,R) = PQ + QR̅ + PR̅ is

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Q. How many Boolean functions are possible with 3 Boolean variables such that the number of min terms are either one or two?

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Q. Which of the following statement is FALSE regarding functionally completeness, (FC).

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Q. Which of the following is the minimization expression for A+A'B+A'B'C+A'B'C'D?

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Q. Consider a hypothetical k-map in which essential prime implicants covering all the min – terms except two. Each of the left over min – term is covered by 3 different redundant prime implicants. What would be the no of minimal expressions denoted by the map?

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Q. The literal count of a Boolean expression is the sum of the number of times each literal appears in the expression. For example, the literal count of (x y + x z) is 4. What are the minimum possible literal counts of the product – of – sum and sum – of – product representations respectively of the function given by the following karnaugh map? Here, x denotes “don’t care”.

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Q. What are the essential prime implicants of the following Boolean functions?

F (a, b, c) = a'c + ac' + b'c

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