PLEASE SHOW ALL YOUR WORKING OUT ! Determine the decimal values of the following
ID: 1846990 • Letter: P
Question
PLEASE SHOW ALL YOUR WORKING OUT !
Determine the decimal values of the following unsigned numbers: Determine the decimal values of the following 1's complement numbers: Determine the decimal values of the following 2's complement numbers: Perform the following operations involving eight-bit 2's complement numbers and indicate whether arithmetic overflow occurs. Check your answers by converting to decimal sign-and-magnitude representation. Correct any overflows encountered in problem 2 through sign extension and performing the addition again. Remember: Only in addition of two positive (two negative) numbers there could be an overflow. Remember: No overflow can happen if you add a positive number with a negative number.Explanation / Answer
1.
Decimal values of unsigned numbers
a.
(0111011110) = 256 + 128 + 64 + 16 + 8 + 4 + 2 = 478
b.
(1011100111) = 512 + 128 + 64 + 32 + 4 + 2 +1 = 743
c.
(3751)8 = 3*8^3 + 7*8^2 + 5*8 + 1 = 2025
d.
(A25F)16 = 10*16^3 + 2*16^2 + 5*16 + 15 = 41567
e.
(F0F0)16 = 15*16^3 + 15*16 = 61680
Decimal Values of 1s compliment nos
a.
(0111011110) = 256 + 128 + 64 + 16 + 8 + 4 + 2 = 478
b.
(1011100111)
find the ones compliment
0100011000 = 256 + 16 + 8 = 280
Ans = -280
c.
(1111111110)
find the ones compliment
a.
(0111011110) = 256 + 128 + 64 + 16 + 8 + 4 + 2 = 478
b.
(1011100111)
find the ones compliment + 1
0100011000 + 1 = 0100011001 = 256 + 16 + 8 +1 = 281
Ans = -281
c.
(1111111110)
find the ones compliment
e.
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