Write down the binary representation of the decimal number 3

Write down the binary representation of the decimal number -35.6125 assuming the IEEE 754 single precision format.

Solution

Answer :

- 35. 6125

100011.1011111101101 x 2^0

move binary point 5 to the left

1.000111011111101101 x 2^5

sign = negative, exp = 1024 + 5 = 1029 = 10000000101

Final Pattern =  1000000010111101111110110100000000000000000000000000000000