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
For the following operations: write the operands as 2's
complement binary numbers then perform the addition or subtraction
operation shown. Show all work in binary operating on 8-bit
numbers.
7 + 3
7 - 3
3 - 7
7 – For the following operations:
• write the operands as 4-bit 2's complement binary numbers,
• perform the operation shown,
• show all work in binary operating on 4-bit numbers, and
• identify overflow if necessary.
a) 4 + 2
b) 4 – 2
c) 2 – 4
d) 4 + 4
1.convert the following numbers from decimal to binary assuming
seven-bit twe's complement binary representation:
a)49 b) -27 c)0 d) -64 e) -1 f) -2
g) what is the range for this computer as written in binary and
in decimal?
2.convert the following numbers from decimal to binary assuming
nine-bit twe's complement binary representation:
a)51 b) -29 c) -2 d)0 e) -256 f) -1
g ) what is the range for this computer as written in binary and
in decimal?
(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
The standard method of representing negative numbers in the
binary system is with 2's complement notation. What are the
advantages and disadvantages of using this method to represent
negative numbers?
(a) Convert the decimal numbers, 70 and -26 to binary in the
signed 2’s complement system. Make sure there are enough digits in
the results to be able to perform arithmetic operations with these
two numbers.
(b) Perform in the signed 2’s complement system, (+70) +
(-26)
(c) Perform in the signed 2’s complement system, (-70) -
(-26)
(d) Perform in the signed 2’s complement system, (+70) +
(+26)
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.)
Convert the following decimal numbers to 16-bit 2’s complement
binary. Display your result in hexadecimal.
a.3030
b.404
c.5050
d.-5050
e.-20000
Show work with steps