Represent -60 in binary using 8-bit signed magnitude. Add the following unsigned 8 bit binary numbers...

Represent -60 in binary using 8-bit signed magnitude.

Add the following unsigned 8 bit binary numbers as shown. 01110101 + 00111011

Add the following unsigned 8 bit binary numbers as shown. 01000100 + 10111011

Expert Solution

1)
-60
------
This is negative. so, follow these steps to convert this to various binary formats.
Divide 60 successively by 2 until the quotient is 0
60/2 = 30, remainder is 0
30/2 = 15, remainder is 0
15/2 = 7, remainder is 1
7/2 = 3, remainder is 1
3/2 = 1, remainder is 1
1/2 = 0, remainder is 1
Read remainders from the bottom to top as 111100
Adding 2 zeros on left hand side of this number to make this of length 8
So, 60 in normal binary format is 00111100
sign-magnitude:
-----------------
set 1 as left most bit, since this number is negative.
so, 00111100 becomes 10111100
=====================================
||    sign-magnitude: 10111100    ||
=====================================

2)
Adding 01110101 and 00111011 in binary
    01110101
    00111011
-------------
    10110000
-------------
so, 01110101 + 00111011 is 10110000

3)
Adding 01000100 and 10111011 in binary
    01000100
    10111011
-------------
    11111111
-------------
so, 01000100 + 10111011 is 11111111

venereology answered 11 months ago

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