DATA REPRESENTATION AND NUMBER SYSTEMS
TWOS COMPLEMENT AND FLOATING POINT REPRESENTATION
Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
|
What is the normalised form of 0.0000111 0111
|
1.0110000 0011
|
|
1.0110000 0111
|
|
0.1110000 0111
|
|
0.1110000 0011
|
Explanation:
Detailed explanation-1: -A normalized mantissa has its binary point (the base-two equivalent of a decimal point) just to the left of the most significant non-zero digit. Because the binary number system has just two digits–zero and one–the most significant digit of a normalized mantissa is always a one.
Detailed explanation-2: -We say that the floating point number is normalized if the fraction is at least 1/b, where b is the base. In other words, the mantissa would be too large to fit if it were multiplied by the base. Non-normalized numbers are sometimes called denormal; they contain less precision than the representation normally can hold.
There is 1 question to complete.