Assuming that you are required to make an 8 bit floating point representation, where bit 7 is a sign bit, bits 4, 5, and 6 are the 3 bit exponent

Assuming that you are required to make an 8 bit floating point representation, where bit 7 is a sign bit, bits 4, 5, and 6 are the 3 bit exponent using excess-3 notation and bits 0, 1, 2, 3 represent a 4 bit mantissa using normalized notation.

a) How would the number 2.25 be stored in the byte?

b) What is the number that its binary representation is 11101010?