The format of the single-precision floating-point representation of a real number as per the IEEE 754 standard is as follows:

sign

exponent

mantissa

Which one of the following choices is correct with respect to the smallest normalized positive number represented using the standard?

Let the representation of a number in base 3 be 210. What is the hexadecimal representation of the number?

Consider the following representation of a number in IEEE 754 single-precision floating point format with a bias of 127.

S: 1 E:   10000001    F : 11110000000000000000000

Here S, E and F denote the sign, exponent and fraction components of the floating point representation.

The decimal value corresponding to the above representation (rounded to 2 decimal places) is ______

Consider Z = X - Y, where X, Y and Z are all in sign-magnitude form. X and Y are each represented in n bits. To avoid overflow, the representation of Z would require a minimum of :