Chapter 2, Problem 56E

Explanation of Solution

Floating point decimal number conversion

• Given sign bit is 1 bit, exponent is 4 bit, fraction is 3 bit.
• The given hexadecimal number is xE5.
• The hexadecimal value is first converted into binary. For converting hexadecimal value to unsigned binary, each hexadecimal digit is represented as a 4-bit binary string.
• Hence the binary value of xE5 is 11100101.
• The 8-bit binary value is then converted into 8-bit floating point format.
• The number is represented by sign, mantissa and exponent.
• Here the sign bit is 1, hence it is a negative number.
• Then the exponent and fraction part is converted into decimal value...