Representation of 500.0 in IEEE32 Format

The exponent in IEEE32 has a fixed offset of 127 to ensure positive values:

exp (500.0, IEEE32) = 8 + 127 == 87 (hex) ==  10000111 (bin)

Combine the fields as shown the following listing.

Listing: Representation of Decimal 500.0 in IEEE32

  = 0 (sign) 10000111 (exponent)
    11110100000000000000000 (mantissa)      (IEEE32 as bin)

  = 0100 0011 1111 1010 0000 0000 0000 0000 (IEEE32 as bin)

  = 43 fa 00 00 (IEEE32 as hex)

The following listing shows the IEEE32 representation of decimal -500.

Listing: Representation of Decimal -500.0 in IEEE32

  = 1 (sign) 10000111 (exponent)
    11111010000000000000000 (mantissa)      (IEEE32 as bin)

  = 1100 0011 1111 1010 0000 0000 0000 0000 (IEEE32 as bin)

  = C3 fa 00 00 (IEEE32 as hex)