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Higher Study | Digital Logic | Number Representations and Computer Arithmetic

Which of the following is false?
The decimal equivalent of hexadecimal number BAD is
Consider the values A = 2.0 × 1030, B = -2.0 × 1030 C = 1.0. Assume, that the floating point numbers are represented with 32 bits. What are the values of X and Y, when the following sequence of operations are executed on a computer? X = A + B Y = A + C X = X + C Y = Y + B
Which of the following logic gates has output low when one of the inputs is high?
The 2-input XOR has a high output only when the input values are
When two n-bit binary numbers are added the sum will contain at the most
Let, x1 ⊕ x2 ⊕ x3 ⊕ x4 = 0 where x1, x2, x3, x4 are Boolean variables, and ⊕ is the XOR operator. Which one of the following must always is TRUE?
Given f(w, x, y, z) = ∑m (0, 1, 2, 3, 7, 8, 10) + ∑d (5, 6, 11, 15), where d represents the don’t-care condition in Karnaugh maps. Which of the following is a minimum product-of-sums (POS) form of f(w, x, y, z)?
Consider Z = X - Y, where X, Y and Z are all in sign-magnitude form. X and Y are each represented in n bits. To avoid overflow, the representation of Z would require a minimum of:
If (101)n = 65, where n represent the base of the respective number system, then the value of n is
Consider the unsigned 8-bit fixed-point binary number representation below, b7 b6 b5 b4 b3 . b2 b1 b0 where the position of the binary point is between b3 and b2. Assume b7 is the most significant bit. Some of the decimal numbers listed below cannot be represented exactly in the above representation: (i) 31.500 (ii) 0.875 (iii) 12.100 (iv) 3.001 Which one of the following statements is true?
How many boolean functions of k variables are possible such that there are exactly m minterms?
How many squares will be there in a three variable Karnaugh map? 
The K-map for a Boolean function is shown in the figure. The number of essential prime implicates for this function is
How many bits are used in the exponent part of IEEE single precision format for the representation of floating - point numbers ?
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