(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
-----------------
( 0010011 )2 = ( 19 )10 and ignore carry.
-----------------
(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)
(20 pts) Perform the following operation: • (4−12)10, Using signed binary, 8–bit 2’s complement arithmetic.
QUESTION 17 2's complement n-bit encoding is derived from Arithmetic modulo 2n Scientific notation in base-2 The sign and magnitude encoding used in base-10 Encodings of subsets as bitstrings
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
Please be detailed with the math operations for 2's complement and converting from the signed decimal to binary. Thank you. Express the following 2`s complement numbers using 8 and 32 bits: a) -119)10 b) -55)10
Please show steps
EXERCICE 2 Convert to binary (2's complement) using a compact notation (minimum number of digits). Number in base 10 Number in base 2 (2's complement) +126.5 -25.8125 1.375 +10.37890625 13.62109375 15.61328125 2.99609375 EXERCICE 3 Give the result of the following set of additions in 8-bit 2's complement. Addends are also in 8-bit 2's complement. Indicate by YES or NO if an overflow occurs. Addition Result Overflow ? 0011 1000 0110 0000 1011 1000 1110 0000 1100 1000...
1. What decimal number is represented by the following excess 8 notation? 2. Convert 1111 from excess eight representation to its equivalent base ten binary form 3. With two's complement signed binary representation, what is the range of numbers as written in binary and in decimal for an eight-bit cell? (lowest to highest) 4. Convert -7 from decimal to binary, assuming seven-bit two’s complement binary representation 5. Convert 111 1010 from binary to decimal assuming seven bit two's complement binary...
(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.