ISRO CS 2008

Question 21

A computer uses 8 digit mantissa and 2 digit exponent. If a = 0.052 and b = 28E + 11 then b + a - b will

• result in an overflow error
• result in an underflow error
• be 0
• be 5.28 E + 11

Question 22

The Boolean expression ( A + C\')(B\'+ C\') simplifies to

• C\' + AB\'
• C\' (A\' + B)
• B\'C\' + AB\'
• None of these.

Question 23

In the expression A\'(A\' + B\') by writing the first term A as A + 0, the expression is best simplified as

• A + AB
• AB
• A\'
• A + B

Question 24

The logic operations of two combinational circuits in Figure-I and Figure-II are

• entirely different
• identical
• complementary
• dual

Question 25

The output Y of the given circuit

• 1
• 0
• X
• X\'

Question 26

Which of the following is not a valid rule of XOR?

• 0 XOR 0 = 0
• 1 XOR 1 = 1
• 1 XOR 0 = 1
• B XOR B = 0

Question 27

The number of distinct simple graphs with up to three nodes is

• 15
• 10
• 7
• 9

Question 28

The maximum number of edges in a n-node undirected graph without self loops is

• n²
• n * (n-1)/2
• n - 1
• (n + 1) * n/2

Question 29

The join operation can be defined as

• a cartesian product of two relations followed by a selection
• a cartesian product of two relations
• a union of two relations followed by cartesian product of the two relations
• a union of two relations

Question 30

If a square matrix A satisfies A^T = I, then the matrix, A is

• Idempotent
• Symmetric
• Orthogonal
• Hermitian