Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Please help with the following converting computer science questions. Thanks! 1.

ID: 3768503 • Letter: P

Question

Please help with the following converting computer science questions. Thanks!

1.Convert the following numbers to indicated bases.

a.(1011110000010110)2 = (                                         )16

b.(3AF2)16 = (                                  )8

1. A computer handles signed integers in the range -128 to +127 in 2’s complement form, using eight bits. Determine the 8-bit representation for the following signed integers. Show all work.

+ 39     __________________________________________________________________

– 42     __________________________________________________________________

Explanation / Answer

1011110000010110 = BC16 base 16
3AF2 = 35362 base 8


+39 = 00100111
2|39 - 1
2|19 -1
2|9 -1
2|4 -0
2|2 -0
2|-1
100111
since it is + the resultant 8 bit starts with 0 = 0010 0111


-42 = 10101010
2|42 - 0
2|21 -1
2|10 - 0
2|5 - 1
2|2 -0
2|1
101010
Since it is -ve number the resultant 8 bit will start with 1 = 1010 1010