- (48.625) --> - (110000.101)
Moving radix point to leading bit 1 --> - (1.10000101)*25
Since In question it is mentioned ' single precision '
Sign 1 bit, Exponent 8 bit (in Excess 127), Mantissa 23 bit
1<= E <= 254 and M != 0 , So we can use implicit normalised form
E = 127 + 5 = (132)10 =(10000100)2
S =(1)2 (since it's a negative number so sign bit = 1)
M=(10000101000000000000000)2
1 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
0 |
1 |
0 |
0 |
0 |
0 |
1 |
0 |
1 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
0 |
In Hexadecimal form (C2428000)16
Please correct me If anywhere I get wrong.