Number System
Q1.
Consider the IEEE-754 single precision floating point numbers P=0xC1800000 and Q=0x3F5C2EF4. Which one of the following corresponds to the product of these numbers (i.e., P x Q), represented in the IEEE-754 single precision format?Q2.
Consider three floating point numbers A, B and C stored in registers R_A, R_B and R_C, respectively as per IEEE-754 single precision floating point format. The 32-bit content stored in these registers (in hexadecimal form) are as follows. R_A=0xC1400000R_B=0x42100000R_C=0x41400000 Which one of the following is FALSE?Q3.
A particular number is written as 132 in radix-4 representation. The same number in radix-5 representation is _____.Q4.
Let R1 and R2 be two 4-bit registers that store numbers in 2's complement form. For the operation R1+R2, which one of the following values of R1 and R2 gives an arithmetic overflow?Q5.
If the numerical value of a 2-byte unsigned integer on a little endian computer is 255 more than that on a big endian computer, which of the following choices represent(s) the unsigned integer on a little endian computer?[MSQ]Q6.
If x and y are two decimal digits and (0.1101)_2 = (0.8xy5)_{10}, the decimal value of x+y is ___________Q7.
The format of the single-precision floating point representation of a real number as per the IEEE 754 standard is as follows: \begin{array}{|c|c|c|} \hline \text{sign} & \text{exponent} & \text{mantissa} \\ \hline \end{array} Which one of the following choices is correct with respect to the smallest normalized positive number represented using the standard?Q9.
Consider the equation (123)_{5}=(x8)_{y} with x and y as unknown. The number of possible solutions is _____ .Q10.
The 16 bit 2's complement representation of an integer is 1111 1111 1111 0101; its decimal representation is__________ .