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3 bit for exponent means Bias = 2^(3-1) - 1 = 4-1 = 3

12 = 1100 = 1.100 X 2^(3)

Exponent = Bias + 3 = 3+3 = 6 = 110

Significant = 100

Since Significant is 4 bits, we append extra 0 at the end to make it 1000

Here, number is negative so, Sign bit is 1

Thus, final representation = 1 110 1000

 

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