Please answer all questions Consider the following two floating point numbers co

Question

Please answer all questions

Consider the following two floating point numbers coded in the 10-bit 2. [30 marks] format defined in class: x a 1 1010 01011 0111 01101 and Do the following: (a) carry out the addition, x y, in binary. Show all of the steps of your work, displayed carefully. Make sure your final binary answer is correctly normalized. Convert the result to normalized 10-bit floating point (b) convert both of the numbers, x and y, to decimal form and add the numbers. (c) convert your answer from part (a) to decimal form and compare it with part (b).

Explanation / Answer

2.

CONVERSION OF HEXA TO DECIMAL

   10 * 167 + 11*166 + 7* 165 + 12 * 164 + 15* 163+ 0*162 + 0*161 +0*160 = 2877091840

DECIMAL VALUE = 2877091840

(A) 1010 1011 0111 1100 1111 0000 0000 0000

(B) 0101 0100 1000 0011 0001 0000 0000 0000

(C )      MSB BIT IS SIGNED BIT      0- POSITIVE , 1-NEGATINE

         SMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM

                 S-SIGN ,M-MAGNITUDE

     

         0 101 0100 1000 0011 0001 0000 0000 0000

(d. )SIGN * 2EXPONENT * MANTISSA

        BINARY :   S   EEEEEEEE MMMMMMMMMMMMMMMMMMMMMM

           0 10011110   01010110111110011110000

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