Exams › GATE › Technical
Three floating point numbers X, Y, and Z are stored in three registers Rₓ, R_y, and R_z, respectively in IEEE 754 single precision format as given below in hexadecimal:
Rₓ = 0xC1100000, R_y = 0x40C00000, and R_z = 0x41400000
Which of the following option(s) is/are CORRECT?
- 4(X + Y) + Z = 0
- 2Y - Z = 0
- 4X + 3Z = 0
- X + Y + Z = 0
Correct answer: 2Y - Z = 0
Solution
The equation 2Y - Z = 0 is correct because when you calculate the values of Y and Z from their hexadecimal representations, you find that doubling Y results in the same value as Z, confirming the equality.
Related GATE Technical questions
- Which one of the following options is correct for the given data in the table?
Iteration (i): 0, 1, 2, 3
Input (I): 20, -4, 10, 15
Output (X): 20, 16, 26, 41
Output (Y): 20, -80, -800, -12000
- Consider a binary tree T in which every node has either zero or two children. Let n > 0 be the number of nodes in T. Which ONE of the following is the number of nodes in T that have exactly two children?
- Let L, M, and N be non-singular matrices of order 3 satisfying the equations L² = L⁻¹, M = L⁸ and N = L². Which ONE of the following is the value of the determinant of (M - N)?
- Let P(x) be an arbitrary predicate over the domain of natural numbers. Which ONE of the following statements is TRUE?
- Consider the following statements:
(i) Address Resolution Protocol (ARP) provides a mapping from an IP address to the corresponding hardware (link-layer) address.
(ii) A single TCP segment from a sender S to a receiver R cannot carry both data from S to R and acknowledgement for a segment from R to S.
Which ONE of the following is CORRECT?
- A machine receives an IPv4 datagram. The protocol field of the IPv4 header has the protocol number of a protocol X. Which ONE of the following is NOT a possible candidate for X?
⚔️ Practice GATE Technical free + battle 1v1 →