Question

8 - For the following operations: write the operands as 2's complement binary numbers then perform the addition or subtraction operation shown. Show all work in binary operating on 8-bit numbers. • [1 pts) 6+3 . [1 pts) 6-3 • [1 pts) 3 - 6

Answer 1

12it as complement :- slon as comp Ex: Sign bit is o- Postive number 1- negative number 1) perform is complement of binary number 2) Then add 1 to the result of is comp. Ex. here operands 6,3. Step 1 - write in benary format :- 6 = 00000110 3 - 00000011 Indieates the number 2's comp of 68- COOOOO11022 - Glo is comp = llllloo i add 1 = 11111010

ss cow 3 (3) 6 (000000112 i's comp= 11111100 add 1 - 1 1111 1101

1 addition of 6+32- Gooooollo 3 - 00000011 9 = 00001001 is com = lillout o Til 1 0111

a's comp subtraction smalles from larger 6-3 (minstehend) (subtrahend) steps - 1) Determine e's compol subtrahend 2) add it to the minuend 3) Il carry is generated discard the carry Ex- 6-3 1) 6 = 0000 0110 3 - OOOOOO!! i's comp= TITIT 100 +1 2's comp lllllol of 3 + I- 2) add it to minuend 00000110 11111101 DOODOBOJI descard - Our answer is :- 6-3 - 0000001| +(3),

P's comp Substraction loorger foom smaller Steps - 1) Takes a's comp for subtrahend 2) Add it to the minuend 3) If carry Ps not generated say gesalt is said to be negative & is in 2's comp form. Take a's comp of the result to get actual result. (M) (5) Ea! 3-6 Step I - 6 is subtrahend. 2'comp of 6 = 11TT1010 Step2",- 3 = 0OOOOO 6 = III 1010 IlIlI101 Cit carry is not generated. So it are no & is in a's comp form.

Step 3. To get actual result porforn again a's comp 1 1 1 1 1 1 0 1 is comp OO 000010 OS +1 = оооооот 1 so our result is -3

So final answer's 6+3 = I1110 (9) 6-3 = OOOOOO!!(3) 3-6 = 1ll11101(-3)