for IEE 754 single precision floating point write the hexidecimal representation
ID: 3634634 • Letter: F
Question
for IEE 754 single precision floating point write the hexidecimal representation for the following decimal value0.5
please show steps
Explanation / Answer
your answer goes as followsStep 1: decimal 0.5 --> binary 0.1Step 2: normalize binary 0.1 --> 1.0 times 2**(-1) We shifted the binary decimal point 1 place to the right, making the number larger. The exponent needed to compensate is therefore 2**(-1)Step 3: exponent -1 + 127 = 126 = binary 01111110Step 4: remove hidden digit from 1.0 --> 0Step 5: -0.5 is negative - the sign bit is one: 1 The next eight bits are the exponent: 01111110 The next 23 bits are the mantissa: 000000000000000000000 Binary result (32 bits): 10111111000000000000000000000000Step 6: 1011 1111 0000 0000 0000 0000 0000 0000 B F 0 0 0 0 0 0Answer: -0.5 is BF000000h in IEEE 754 single-precision format.
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