Can you write process of the question?
A fictional floating-point encoding scheme uses 1 bit for sign
followed by 1 bit for the exponent and 2
bits for the mantissa. It otherwise behaves exactly like the IEEE
754 encoding scheme. List down all
decimal values that can be represented by this scheme along with
their binary representation.
Sign = 1 bit
exponent = 1 bit
Mantissa = 2 bits
Now Bias = 2n-1 - 1 = 21-1 - 1 = 1-1 = 0
Possible values of 4 bits:-
1) 0000 = + 0
2) 0001 = denormalised as per IEEE 754 so value is + 20x0.01 = +0.25
3) 0010 = denormalised as per IEEE 754 so value is + 20x0.10 = +0.5
4) 0011 = denormalised as per IEEE 754 so value is + 20x0.11 = +0.75
5) 0100 = +infinity according to IEEE 754
6) 0101 = Not a number(NAN) aacording to IEEE 754
7) 0110 = Not a number(NAN) aacording to IEEE 754
8) 0111 = Not a number(NAN) aacording to IEEE 754
9) 1000 = -0
10) 1001 = denormalised as per IEEE 754 so value is - 20x0.01 = -0.25
11) 1010 = denormalised as per IEEE 754 so value is - 20x0.10 = -0.5
12) 1011 = denormalised as per IEEE 754 so value is - 20x0.11 = -0.75
13) 1100 = - infinity according to IEEE 754
14) 1101 = Not a number(NAN) aacording to IEEE 754
15) 1110 = Not a number(NAN) aacording to IEEE 754
16) 1111 = Not a number(NAN) aacording to IEEE 754
Can you write process of the question? A fictional floating-point encoding scheme uses 1 bit for...
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