What is the mantissa when the entire float is zero?
Zero.
The sign bit is zero when the number is zero. A floating point zero consists of 32 zero bits. The MIPS instructions that test for integer zero can test for floating point zero.
In the following chart, first convert the actual exponent to a biased exponent, then write the biased exponent as an eight bit binary.
How is the exponent -127 represented?