COMPUTER FUNDAMENTALS

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 1.1100011 0011?
A
1.0001100 0001
B
1.0001100 0011
C
0.1001100 0001
D
0.1001100 0011
Explanation: 

Detailed explanation-1: -Simply speaking, a number is normalized when it is written in the form of a × 10n where 1 ≤ a < 10 without leading zeros in a. This is the standard form of scientific notation. An alternative style is to have the first non-zero digit after the decimal point.

Detailed explanation-2: -A floating-point number is normalized if its mantissa is within the range defined by the following relation: 1/radix <= mantissa < 1. A normalized radix 10 floating-point number has its decimal point just to the left of the first non-zero digit in the mantissa.

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