3. Conversion from decimal fraction to binary fraction is accomplished by multiplying the number by 2, using the integer part of the product as the next digit (and then discarding the integer). For example

0.625 2 = 1.25 .1 (the integer part of this product is 1)

0.25 2 = 0.50 .10 (the integer part of this product is 0)

0.50 2 = 1.00 .101 (the integer part of this product is 1)

So, 0.625 can be represented by .101 in binary (0.101 = 1/2 + 0/4 + 1/8 =0 .625)

Show how the decimal value -27.5625 would be represented in IEEE 754 single (32 bits) and double (64 bits) precision formats.

(Reminder: single precision exponents are expressed in excess-127 notation, and double precision exponents are expressed in excess-1023 notation)