GATE PYQ

Digital Logic

Q111.
The representation of the value of a 16-bit unsigned integer X in hexadecimal number system is BCA9. The representation of the value of X in octal number system is

Q112.
The number of 1's in the binary representation of (34096 + 15256 + 5*16 + 3) are:

Q113.
If (12A7C)_{16} = (X)_8 then the value of X is

Q114.
The number 1102 in base 3 is equivalent to 123 in which base system?

Q115.
The decimal value 0.5 in IEEE single precision floating point representation has

Q116.
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

Q117.
What is the decimal value of the floating-point number C1D00000 (hexadecimal notation)? (Assume 32-bit, single precision floating point IEEE representation)

Q118.
Consider the equation (43)_{x}=(y3)_{8} where x and y are unknown. The number of possible solutions is ______________

Q119.
The decimal number has 64 digits. The number of bits needed for its equivalent binary representation is?

Q120.
Consider the equation (123)_{5}=(x8)_{y} with x and y as unknown. The number of possible solutions is _____ .