Chapter 2.4, Problem 2.48PP

Explanation of Solution

Floating point representation:

• The equivalent binary value for given hexadecimal “0x00359141” is “00000000001101011001000101000001”.
• Shift the above binary value “21” places right.
  • Then the result gives $\text{1}{\text{.101011001000101000001}}_{\text{2}}\times {\text{ 2}}^{\text{21}}$.
• Now form the fractional field by dropping the leading “1” and adding two zeros
  • Then the result produces the result of $\text{10101100100010100000100}$.
    • This is the result of fraction.
• The exponent is produced by adding bias “127 to “21”, then 127 + 21 = 148.
  • The binary value for “148” is “10010100”