what is the largest positive denormalized 5-bit floating point where there is 1 sign bit, 2 exponent bits and 2 mantissa bits.

Solution :

Sign = 0

Exponent = 0 0000

Mantissa = 11 1111 111

M2^e = 0.1111111111 2^-15 = 1111111111

A number with a fractional part is called as a real number. These Real Numbers when they are represented by a sign, some of the significant digits and the power of 10 is called a scientific notation.

A real number which is represented by some sign, significant digits and the power of 2 is known as Floating-point notation.