Perform the following binary arithmatic by hand. Please show all work. Perform t

Question

Perform the following binary arithmatic by hand. Please show all work.

Perform the following arithmetic by hand-for credit show all work (you may use a calculator to check your results). Assume the two's complement numbering system for all values. In addition, your multiplication result should be 16 bits. a. 11000100 + 10101111 b. 01011001 - 10110010 c. 01011001 * 11011101 (16 bit result) d 11011110/00001101 (give both quotient and remainder) Repeat the previous problem assuming all values are unsigned.

Explanation / Answer

a) 11000100 + 10101111
    11000100
    10101111
-------------
101110011   
--------------

b) 01011001 - 10110010

- 10110010 to 2s complement hets us : 01001110
01011001
01001110
========
10100111
=========

c) 01011001 * 11011101
               01011001
                 x 01011001
             -----------------------
                   01011001
                 00000000
00000000
           01011001
. . .. . .. . .. . . .. . .. . ..
=====================
We get : 0001111011110001

D) 11011110 / 00001101

00001101 ) 11011110 ( 10001 ==> Quotient
                    11011101
----------------------------------
                     00000001 ==> Remainder
----------------------------------

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