GATE PYQ

Digital Logic

Q101.
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?

Q102.
The decimal value 0.5 in IEEE single precision floating point representation has

Q103.
Consider the equation (123)_{5}=(x8)_{y} with x and y as unknown. The number of possible solutions is _____ .

Q104.
The 16 bit 2's complement representation of an integer is 1111 1111 1111 0101; its decimal representation is__________ .

Q105.
In the standard IEEE 754 single precision floating point representation, there is 1 bit for sign, 23 bits for fraction and 8 bits for exponent. What is the precision in terms of the number of decimal digits?

Q106.
When two n-bit binary numbers are added the sum will contain at the most

Q107.
Consider the equation (43)_{x}=(y3)_{8} where x and y are unknown. The number of possible solutions is ______________

Q108.
The code which uses 7 bits to represent a character is :

Q109.
Two eight bit bytes 11000011 and 01001100 are added. What are the values of the overflow, carry and zero flags respectively, if the arithmetic unit of the CPU uses 2's complement form?

Q110.
What is the decimal value of the floating-point number C1D00000 (hexadecimal notation)? (Assume 32-bit, single precision floating point IEEE representation)