GATE PYQ

Number System

Q21.
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?

Q22.
When two n-bit binary numbers are added the sum will contain at the most

Q23.
Consider the equation (43)_{x}=(y3)_{8} where x and y are unknown. The number of possible solutions is ______________

Q24.
The code which uses 7 bits to represent a character is :

Q25.
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?

Q26.
What is the decimal value of the floating-point number C1D00000 (hexadecimal notation)? (Assume 32-bit, single precision floating point IEEE representation)

Q27.
The decimal number has 64 digits. The number of bits needed for its equivalent binary representation is?

Q28.
A computer uses ternary system instead of the traditional systen, An n bit string in the binary system will occupy

Q29.
The binary equivalent of the decimal number 42.75 is

Q30.
How many different BCD numbers can be stored in 12 switches ? (Assume two position or on-off switches).