COMPUTER FUNDAMENTALS

DATA REPRESENTATION AND NUMBER SYSTEMS

TWOS COMPLEMENT AND FLOATING POINT REPRESENTATION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
Convert 00011011.0110 (Fixed Point Notation) to denary
A
27.376
B
27.375
C
27.374
D
27.377
Explanation: 

Detailed explanation-1: -Subtract the leading zero count from (m-1) where m represents the number of integer bits are reserved for integer including the MSB bit. Add the result to the bias value to get the exponent. Sign of the fixed point number is the sign of the floating point number.

Detailed explanation-2: -Fixed-point notation has an implied binary point between the integer and fraction bits, analogous to the decimal point between the integer and fraction digits of an ordinary decimal number. For example, Figure 5.23(a) shows a fixed-point number with four integer bits and four fraction bits.

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