Convert 1 to floating point representation

1 = 1.0 * 2^0
sign: 0
exp: 0 + 127 = 01111111
frac: 1.0

00111111100000000000000000000000  (1)


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Convert to decimal

0 10000000 11000000000000000000000

sign: +ve
exp: 10000000 = 128 - 127 = 1
frac: 1.11

answer = 1.11*2^1 = 11.1  = 3.5

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Convert to decimal

1 01111110 10000000000000000000000

sign: -ve
exp: 01111110 = 126 - 127 = -1
frac: 1.1

answer = -1.1*2^-1 = -0.11 = -0.75

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Extra example:
                             
0 10000000 10000000000000000000000

sign: +ve
exp: 10000000 = 128 - 127 = 1
fraction: 1.1
result: 1.1 * 2^1 = 11 = 3