Interpret the result of addition and subtraction of single precision floating point numbers A and B where A=44900000H and B=42A00000H

First, let's understand that the given numbers are in hexadecimal format.

1. Convert the hexadecimal numbers to binary: A = 44900000H = 0100 0100 1001 0000 0000 0000 0000 0000 in binary B = 42A00000H = 0100 0010 1010 0000 0000 0000 0000 0000 in binary

2. Now, let's interpret these binary numbers as single precision floating point numbers. In this format, the first bit is the sign bit, the next 8 bits are the exponent, and the remaining 23 bits are the mantissa.

   A = 0 10001001 00100000000000000000000 B = 0 10000101 01000000000000000000000

3. The exponent is biased by 127, so we subtract 127 from the exponent to get the actual value.

   Exponent of A = 10001001 (in binary) = 137 (in decimal) - 127 = 10 Exponent of B = 10000101 (in binary) = 133 (in decimal) - 127 = 6

4. The mantissa is interpreted by placing a decimal point to the left of the mantissa and adding 1 to the left of the decimal point.

   Mantissa of A = 1.00100000000000000000000 Mantissa of B = 1.01000000000000000000000

5. The value of the floating point number is then calculated as mantissa * 2^exponent.

   Value of A = 1.001 * 2^10 = 1024.5 Value of B = 1.01 * 2^6 = 64.5

6. Now, we can perform the addition and subtraction operations.

   A + B = 1024.5 + 64.5 = 1089 A - B = 1024.5 - 64.5 = 960

So, the result of the addition of A and B is 1089 and the result of the subtraction of A and B is 960.