(a) Do operation 75.38 - 18.62 in binary using two's complement.
Use for the fractional part...
(a) Do operation 75.38 - 18.62 in binary using two's complement.
Use for the fractional part 6 bits
(b) Convert the resulting expression to decimal, and say how much
is the absolute error obtained in the operation.
PROBLEM 2
(a) Do operation 75.38 - 18.62 in binary using two's
complement. Use for the 6 bit fractional part
(b) Convert the resulting expression to decimal, and say how
much is the absolute error obtained in the operation
Part 1: Solve the operation 75.38-18.62 in binary
using two's complement. Use 6 bits for the fractionary part.
Part 2:Convert the result to a decimal, and explain
how much is the absolute error obtained in the operation.
(Provide Step by Step process of problem solving in
each part.)
Represent the following numbers in binary 8-bit representation
using singed magnitude, one's complement, two's complement, and
excess-127 representations:
a) 48
b) -35
1) Convert negative fractional decimal
number to 8-bit binary number: –
16.625 (use 2's complement binary format)
Hint: –17 + 0.375
Given the hint above, the fractional number will be divided into
two parts,
- Whole number,
- Fractional part, must be positive
(2) Proof to check that your calculation above
is correct
1. Add the following binary numbers in 4-bit, two's complement
notation. Identify any overflow errors. 01102 + 01002
2.Add the following binary numbers in 4-bit, two's complement
notation. Identify any overflow errors. 10102 + 11112
3.Add the following binary numbers in 4-bit, two's complement
notation. Identify any overflow errors. 10112 + 01112
Show the decimal integer 79 in 8-bit sign magnitude, one's
complement, two's complement and excess-127 respectively in the
given order, separated by comma.
Show the decimal integer 44 in 7-bit sign magnitude, one's
complement, two's complement and excess-63 respectively in the
given order, separated by comma.
Show the decimal integer -126 in 8-bit sign magnitude, one's
complement, two's complement and excess-127 respectively in the
given order, separated by comma.