For m=4 bits, using the signed two’s complement
representation, (neatly) construct a table consisting of
all...
For m=4 bits, using the signed two’s complement
representation, (neatly) construct a table consisting ofall possible 4 bit sequencesalong with
their base 10 values.
Assuming signed two’s complement representation using m=8 bits,
add the following numbers using binary addition
AND determine the values of the N, Z, V and C flags in response to
each calculation.
(-128) + (+100)
(+5) + (+7)
(+5) + (-7)
(-5) + (+7)
(-5) + (-7)
(+120) + (+100)
(-120) + (-100)
(6A)16+
(E2)16
(A7)16+
(35)16
(80)16+
(80)16
What is two’s complement representation? What is one’s
complement representation? What is sign-magnitude representation?
What is unsigned representation? What is BCD?
All decimal numbers must be converted to signed two’s complement
form before working.
Use the least number of digits necessary (only using one sign
bit) to represent the largest number in a given problem. The
smaller number must be represented with the same number of
bits.
If overflow occurs, indicate that with a note.
Show step by step subtraction.
13 - 8
6 - 19
21 - 14
All decimal numbers must be converted to signed two’s complement
form before working.
Use the least number of digits necessary (only using one sign
bit) to represent the largest number in a given problem. The
smaller number must be represented with the same number of
bits.
If overflow occurs, indicate that with a note.
Show step by step addition.
15 + 6
14 + 18
31 + 5
Represent the decimal number -6 in binary using 4-bits:
3a) signed magnitude ____________________________
3b) 1’s complement _____________________________
3c) 2’s complement _____________________________
convert +38 and +17 to binary using the signed 2s complement
representation and enough digits to accomaodate the numbers. Then
perform the binary equivalent of (-38) and +17
1. Obtain the 1’s complement, 2’s complement and sign magnitude
system representation in 7 bits for the following decimal
numbers:
a) 1510
b) -2110
c) 3510
d) -2710
2. Use 1’s and 2’s complement system to perform the following
calculations and mention if
there will be overflow or not:
a) 1100 – 0101
b) 1010 + 0100
c) 01100 + 00111
Convert decimal +47 and +31 to binary, using the
signed-2’s-complement representation and enough digits to
accommodate the numbers. Then perform the binary equivalent of
(+31)+(-47), (-31)+(+47), and (-31)+(-47). Convert the answers back
to decimal and verify that they are correct.