(a) Subtract (78) in base 10 from (97) in base 10 using 2's complement arithmetic , (b) Divide the number (221) in base 10 and (17) in base 10 by converting the original decimal number to its 8-bit equivalent using straight binary.
(a)
(78)10 = (1001110)2 ---> 2's complement (1's complement +1 ) is : 0110001+1 = 0110010
(97)10 = (1100001)2
0110010
+ 1100001
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( 0010011 )2 = ( 19 )10 and ignore carry.
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(b)
(a) Subtract (78) in base 10 from (97) in base 10 using 2's complement arithmetic ,...
Using 8-bit 2’s complement math, Subtract 17 from 8 (8-17)
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5. Express (76) 10 and (-114)10 in 8-bit binary two's complement arithmetic and then add the numbers. What would be the representation (0)10 in 16-bit binary two's complement? (be sure to show your work). 6. Create two 16-bit 2's complement integer such that their sum causes an overflow. Why does the sum of a negative 2's complement number and a positive 2's complement number never generate an overflow? Discuss.
Please show work/explanation too!
34. Subtract the following signed binary numbers as shown using 2's complement arithmetic. a) 01110101 - 00111011 b ) 00110101 - 00001011 C) 01101111 - 00010001
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Please show steps
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(20 pts) Problem 4: Perform the following decimal arithmetic problems by first converting the numbers to two's complement form (using an 8-bit word size for all numbers). Then perform the 2's compliment addition. Show the result in binary indicating whether each result is positive or negative or overflowed. b) -48-80
7. Using 8 bits, subtract 52-35 using 2's complement.
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Q2 complement). Indicate if there is arithmetic overflow or overall carry-out for each case. Please complete the following 8-bit addition or subtraction of signed integers (2's (b) 10110111 +01001111 Binary results Decimal results Overflow (YN) arry-out (YN)