Digital Logic 4-bit Multiplier/Adder

In summary, the conversation discusses the building of a circuit that can perform either addition or multiplication on two 4-bit numbers based on a control input. The suggested solution involves using muxes, full adder circuits, and logic gates. The multiplexer is used to switch between the two circuits depending on the state of the control input, with one mux needed per bit. The conversation also addresses using either a 4:1 mux or a 2:1 mux, with the purpose of the mux being to choose between the two operations of addition and multiplication.
  • #1
roinujo1
41
1

Homework Statement


Build a circuit that either adds or multiplies two 4-bit numbers based on a control input C(C is 1 add, C is zero multiply). Numbers are positive and negative so use two's complement. You can use muxes, Full Adder Circuits, and logic gates

Homework Equations


Multiplier circuit=
upload_2016-10-10_16-2-7.png


Adder Circuit:
upload_2016-10-10_16-10-34.png

The Attempt at a Solution


So, I have built both the Full Adder(for the addition part) and the multiplier. However, I don't know how to use the muxes to get the input switching if control is 0 and 1. Since the mux only has one output, I don't understand how to connect the two circuits together. Any help is much appreciated!
 
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  • #2
The mux output is the final result - one bit of the addition or multiplication depending on the state of C. Where do you expect more outputs? You'll need one mux per bit (or a mux block that can handle multiple bits in parallel).
 
  • #3
Can you please show how we can use the mux to let the user choose between adder or multiplayer ?
 
  • #4
This thread is half a year old.
The multiplexer looks like every other multiplexer - for each bit, choose either input A or input B as output, depending on a control bit. Do that for all 4 bits.
 
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  • #5
mfb said:
This thread is half a year old.
The multiplexer looks like every other multiplexer - for each bit, choose either input A or input B as output, depending on a control bit. Do that for all 4 bits.
should we use 4:1 mux or 2:1 mux ?
 
  • #6
Addition and multiplication are 2 operations. What else do you want to put into the MUX?
 
  • #7
mfb said:
Addition and multiplication are 2 operations. What else do you want to put into the MUX?
only addition and multiplication.
 

1. What is a 4-bit multiplier/adder?

A 4-bit multiplier/adder is a digital logic circuit that performs both multiplication and addition operations on 4-bit binary numbers. It takes two 4-bit binary numbers as inputs and produces the product of the two numbers as well as their sum as outputs.

2. How does a 4-bit multiplier/adder work?

A 4-bit multiplier/adder works by using a combination of AND, OR, and XOR gates to perform multiplication and addition operations on the binary inputs. It also utilizes flip-flops to store and propagate the carry bit during addition. The outputs are then combined to produce the final result.

3. What are the applications of a 4-bit multiplier/adder?

A 4-bit multiplier/adder is commonly used in digital systems for performing arithmetic operations on binary numbers. It is also used in microprocessors, calculators, and other electronic devices that require fast and efficient multiplication and addition functions.

4. Can a 4-bit multiplier/adder be expanded to handle larger numbers?

Yes, a 4-bit multiplier/adder can be expanded to handle larger numbers by cascading multiple 4-bit blocks together. This allows for the multiplication and addition of 8-bit, 16-bit, or even larger binary numbers. However, as the number of bits increases, the complexity and size of the circuit also increase.

5. What are the advantages of using a 4-bit multiplier/adder over traditional multiplication and addition methods?

The main advantage of using a 4-bit multiplier/adder is speed. The circuit can perform multiplication and addition operations much faster than traditional methods since it is based on binary logic. It also requires fewer components and can be integrated into a single chip, making it more compact and cost-effective.

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