Intro: The sign-magnitude format is an alternative way to represent a signed number. It is used for floating-point representation. In this format, the MSB is the sign bit (0 for positive and 1 for negative) and the remaining bits represent the magnitude. For example, in 5-bit sign-magnitude format, “01001” represents +9 and “11001” represents -9.
Write VHDL code can perform addition and subtraction for numbers in sign-magnitude format. The inputs of the circuit are
a, b: the two 5-bit input operands in sign-magnitude format.
add: a 1-bit signal indicating the type of operation, in which 0 is for addition (i.e., a+b) and 1 is for subtraction (i.e., a-b).
The output of the circuit is
r: the 5-bit result in sign-magnitude format.
Hint:
entity sm_arith is port (
a, b: in std_logic_vector(4 downto 0); add: in std_logic;
r: out std_logic_vector(4 downto 0)
); end sm_arith;
preform this calculations:
(+5) + (+3), (+5) + (3), (5) + (+3), (-5) + (-3),
(+5) - (+3), (+5) - (-3), (-5) - (+3), (-5) - (-3)
Write VHDL code can perform addition and subtraction for numbers in sign-magnitude format. The inputs of the circuit are
a, b: the two 5-bit input operands in sign-magnitude format.
add: a 1-bit signal indicating the type of operation, in which 0 is for addition (i.e., a+b) and 1 is for subtraction (i.e., a-b).
The output of the circuit is
r: the 5-bit result in sign-magnitude format.
Hint:
entity sm_arith is port (
a, b: in std_logic_vector(4 downto 0); add: in std_logic;
r: out std_logic_vector(4 downto 0)
); end sm_arith;
preform this calculations:
(+5) + (+3), (+5) + (3), (5) + (+3), (-5) + (-3),
(+5) - (+3), (+5) - (-3), (-5) - (+3), (-5) - (-3)