Question

Write the decimal equivalents for these IEEE floating point numbers

0 10000011 00000000000000000000000

Answer 1

0 10000011 00000000000000000000000
sign bit is 0(+ve)
exp bits are 10000011
   => 10000011
   => 1x2^7+0x2^6+0x2^5+0x2^4+0x2^3+0x2^2+1x2^1+1x2^0
   => 1x128+0x64+0x32+0x16+0x8+0x4+1x2+1x1
   => 128+0+0+0+0+0+2+1
   => 131
in decimal it is 131
so, exponent/bias is 131-127 = 4
frac bits are 

IEEE-754 Decimal value is 1.frac * 2^exponent
IEEE-754 Decimal value is 1. * 2^4
1. in decimal is 1
   => 1.
   => 1x2^0
   => 1x1
   => 1
   => 1
so, 1 * 2^4 in decimal is 16
so, 01000001100000000000000000000000 in IEEE-754 single precision format is 16
Answer: 16