GATE PYQ

Number System

Q21.
The decimal value 0.5 in IEEE single precision floating point representation has

Q22.
The n-bit fixed-point representation of an unsigned real number real X uses f bits for the fraction part. Let i=n-f. The range of decimal values for X in this representation is

Q23.
What is the decimal value of the floating-point number C1D00000 (hexadecimal notation)? (Assume 32-bit, single precision floating point IEEE representation)

Q24.
Consider the equation (43)_{x}=(y3)_{8} where x and y are unknown. The number of possible solutions is ______________

Q25.
The decimal number has 64 digits. The number of bits needed for its equivalent binary representation is?

Q26.
Consider the equation (123)_{5}=(x8)_{y} with x and y as unknown. The number of possible solutions is _____ .

Q27.
Given the following binary number in 32-bit (single precision) IEEE-754 format: 00111110011011010000000000000000 The decimal value closest to this floating- point number is

Q28.
The code which uses 7 bits to represent a character is :

Q29.
Consider three registers R1, R2, and R3 that store numbers in IEEE-754 single precision floating point format. Assume that R1 and R2 contain the values (in hexadecimal notation) 0x42200000 and 0xC1200000, respectively. If R3=\frac{R1}{R2}, what is the value stored in R3?

Q30.
Given \sqrt{224_{r}}=13_{r} the value of radix r is