So far I know how to normalize when you are given, say: 1111010010 Mantissa, and 000100 exponent and are told that it's a positive number:
1.111010010 and the exponent value is 4 move point 3 to the right: 1111.010010 subtract exponent by 3 = 1; 000001 replace extra binary digits behind sign bit with trailing 0s 1.010010000 so 1.010010000 , 000001 is the normalized form.
Now how do I express 2.171875 under the same representation? I started by converting it to binary: 10.0010110 but how do I represent that as 10-bits 2'C Mantissa and 6-bits exponent to begin with? Or am I completely lost?