Need help designing a Arithmetic Bit Slice Unit

[bengaltiger14]

Need help designing a Arithmetic Bit Slice Unit...

Homework Statement

I need to design a Arithmetic Bit Slice unit built upon a full adder that performs the following operations on two bit A and B and carry in Cin.

A + B A-B
A+1 A-1
B+1 B-1
B A
0 1
Not B Not A
Cin

The Attempt at a Solution

Ok. The full adder was no problem. I have it built and running correctly. Need helping starting the bit slice unit. Do I need to do a truth table for A and B separately? Example: 00=A, 01=/A, 10=0, 11=1

And do the same thing for the B side also. Is that a good start?

 

[KataKoniK]

my first step in designing an Arithmetic Bit Slice Unit would be to define the function of the unit and its inputs and outputs. In this case, the unit is performing arithmetic operations on two bits A and B, with a carry in input (Cin). The outputs are the result of the arithmetic operations, as well as a carry out (Cout) for future use in larger calculations.

Next, I would create a truth table to map out all possible combinations of inputs and outputs. This will help identify any patterns or relationships between the inputs and outputs, which can be used to simplify the design.

Based on the given operations, it seems that the unit will need to perform addition, subtraction, and logical operations (NOT). Therefore, it would be helpful to have separate circuits for each of these operations, and use multiplexers to select the appropriate circuit based on the input values.

For the addition operation, we can use the full adder circuit that has already been built. For subtraction, we can use a subtractor circuit, which is essentially a modified version of the full adder.

For the logical operations, we can use simple logic gates such as NOT, AND, and OR gates. These can be combined to perform the necessary operations on the inputs A and B.

After designing each individual circuit, we can connect them together and use multiplexers to select the appropriate circuit based on the input values. This will create a bit slice unit that can perform all of the given operations on two bits A and B, with a carry in input Cin.

In conclusion, designing an Arithmetic Bit Slice Unit requires a clear understanding of the function of the unit and its inputs and outputs, along with a thorough analysis of the inputs and outputs using a truth table. From there, separate circuits can be designed for each operation and combined using multiplexers to create a functional bit slice unit.

 

[piercas]

Great start! Yes, creating truth tables for A and B separately is a good way to begin designing your Arithmetic Bit Slice Unit. You can also consider creating a truth table for the carry in (Cin) as well, as it will be a crucial component in the overall operation of the unit. Once you have the truth tables, you can use them to determine the necessary logic gates and connections needed to perform the desired operations on A and B. You may also want to consider using a multiplexer to select the appropriate operation based on the inputs. Good luck with your design!