Question

QUESTION NO. 1 {CLO-I} [5 Marks) Given is the BCD representation of X and Y X=1000 1001 0001 Y=1001 0010 a. Convert X and Y into decimal b. Reproduce the answer into Hexadecimal and compute X-Y using N-l's compliment c. Reproduce the final answer in octal

Read question it is in Bcd representation so plz solve neat and clean thankz

Answer 1

* Answer Ca) Here we given with BCD representation X = 1000 1001 0001 y : 1001 0010 → which gives the For BCD to desimal conversioni we have to make 4-bit group and then, convert in 8421-code nimber using this single digit (number) we can able to write desimal X OOO I 1 00 2 2° 2' 2° 3 2. To 2 2' 2'2 2' 2° 8 4 2 1 23 2² 2' 2" I 8 4 2 1 8 4 2 1 8 +0+0+0 8 +0+0+1 O +0+0+! t 1 8 9 :: x = 891 in desimal. Now, y=!00110010 ? 2 2' 2° 22?2' 2 8 4 2 1 84 21 00+2+0 8+0+0+1 q 2 Y 92 in desimal. - thus, x = 891 and y=92 in desimal.

(6) e is we Now, we have x=1891), desimal. Y: (92)10 zwant to convert in Hexadesimal then first we have to device this number with 16 and using reminder creational) part we are able to convert desimas Hexa elesimal to X- (891), 55. 6875 10 . 891 16 → Reminder - !! (16x0.68+) → 55 3.437 16 Reminder 7 (16x0.4375) 3/16 = 0.1875 16 Reminder 3/16x0.1875) , MSD in hexadesimal 3 represant by 3 7 represant by 7 Il represant by BV x = 1891),0 37B in hexadesimal La LSD 고 92 y = (92)10 4 = 5.75 16 gemindo -12 (16*0.75) S 0.3125 16 remindo -5 (16X0-3125) In hex a desimal 5 represant by 5 12 represant by a Lys (92), - 5c in hexa desimal.

we have to → For N-1's compliment convert in binary so, 10 X (891), in binary is X: (1.101111011), so, N-1's compliment is invert tue given number so, Nal's Of x' = [0010000100), = (132), same y : (92), → in binary is Y = [101110072 compliment for 50, N-I's compliment of y'= (0100011), = (35)10 CC) NOW, we have to convert in octal. dividing by 8 and rising reminder weget. X=(891),0 in octal - X-1.1573) X':(132),0 22 octal X': (204)8 wisscompliment same as Y: (92),0 in Octal in octal - y = (134)8 Y' (35),0 in octol y': (43) 8 'Neits compliment.