Question

In ALL these problems, you MUST show your conversion procedure. No procedure = zero points. a) Convert the following decimal numbers to their 2's complement representations: binary and hexadecimal. (12 pts) ✓ -137.3125, 37.65625, -128.5078125, -31.25. b) We want to represent integer numbers between -1024 to 1024 using the 2C representation. What is the minimum number of bits required? (2 pts) c) Complete the following table. The decimal numbers are unsigned: 6 pts) Decimal Binary BCD | Reflective Gray Code 397 1001111010 1011100010 1110010 101011001 001010010101 d) Complete the following table. Use the fewest number of bits in each case: (14 pts) REPRESENTATION Decimal imal Sign-and-magnitude Sion-and-magnitude 1's complement L -129 2's complement 1000000000 10111111 01101011 11111 110100101 1001101

Answer 1

solution - -137. 3125 Berary coole Olo001001.010! i's compliment 111!1 loll lolol.1o11. 2us complement 11111101110110.1011 Aug 37.65625 ) Binary.code - loolol lolol and conflituit = 100 101 10101 -128.5078125 Luary code - looo 000000000 ils comblenisut - and compellinent Illio 1111110.011111 olll||10111!! -31:25 Binary code: 11111.01 is complement + 110 11111111 2nd complingend + 11100000111 -1024 to 1024 it to souge of Range of Is.comblement -(244-1) +0+244-1 - and compliment sange -(24-1) to 2"-1/ so tant = f1024 ^4 = 10 [hall bits And Scanned with CamScanner

Decimall B CD | Bund Grey Code 39] | 60 ||| oo loll | ||| collol tolo lolf 835 ||000 lol이 |0|000ml || ol11 oool 0 ||4 100l 000 | | 00 | || colo | ||00| 40 | 160000000 lete loocool | 이||0| 21 | 이이이이이이 | | 0|0|1| | 110||0| 00 6 I Decimal segin i's complement 2nd complender 29 lo Hoo | | lolllllo lolllll -S12 | 00 50000 | ol11 ||||| | 00 0 00000 | 000000 | - 64 0 10000 | io II | | | 107 lollolol |||||||| ||||| ollololl ರರ್ 1000 00 | 11000 | || o loo || 421 | 010 000 | | - SI ||0|| | 10|| 50 | loollo | | Scanned with CamScanner

Examble y to grey a like » l ooolio! O oo (ExoR) TE DOEO DE 101001011 [ Buary to l's complement= M0010 2h 4 = 0001101 +1 compliment - Cooli lo cs Scanned with CamScanner