Binary

Task 14

A two byte floating-point numbering system uses 10 places for the mantissa and 6 for the exponent. Convert the number 0111 1010 0000 0101 into decimal by filling in the following:
STEP 1: This number is positive. I know this because the left most bit is a zero.
STEP 2: The mantissa is: 0.11101000
STEP 3: The exponent is 000101 which is positive because left most bit is a zero.
STEP 4: The denary equivalent of 000101 is 3
STEP 5: The decimal place in the mantissa must be moved right because the denary value is positive
STEP 6: The mantissa now looks like this 0111.101000
STEP 7: Removing the redundant zeros the mantissa now looks like this 111.101
STEP 8: The final denary answer is 7.625