Question

In: Physics

design a 4 bit comparator that compares two numbers of 4 bits. the output should be...

design a 4 bit comparator that compares two numbers of 4 bits. the output should be < > or =. however you're only limited to using multiplexers or full adders. any help on how to draw this will be appreciated

Solutions

Expert Solution

The truth table of the 4bit comparator is given below

In order to implement the above circuit with fewer gates, we modify the circuit that is shown in the following figure

In order to reduce the area, we can still decrease the number of gates. The logic of A<B can be decided by A>B and A=B, so we can simplify the above circuit as below. 2-input NOR is used here to realize the function of A<B.The area of 2-input NOR is much less than that of G11~G15. On the other hand, fewer gates means fewer power, so this modification can greatly reduce the power dissipation. Therefore, the logic optimization is completed.


Related Solutions

Write a VHDL code for a 4-bit comparator which takes two 4-bit input values and (0.5)...
Write a VHDL code for a 4-bit comparator which takes two 4-bit input values and (0.5) determines whether the numbers are equal. 2. 2. Write a structural VHDL code to implement the circuit of Fig. 2, using the components (0.5) developed in 1.3 and 2.1. 2. 3. Write a VHDL test bench for the above and verify by simulation. (0.5) 2. 4. Implement the design in an FPGA (Note: You may need a `clock manager' to reduce (1.0) the clock...
Design a parity bit generator and checker. A system transmits 4 bits of data. Design generator...
Design a parity bit generator and checker. A system transmits 4 bits of data. Design generator and checker in same schematic use XOR gate. DO NOT USE KMAPS. Include truth tables. I am trying to understand the problem. Include boolean expression and explain you work please. Please explain I need to Learn
What's the schematic of the 4-bit multiplier that has two 4-bit inputs and an 8-bit output...
What's the schematic of the 4-bit multiplier that has two 4-bit inputs and an 8-bit output with pure combinational logic? Can you draw the circuit?
Design a 4 bit Counter that displays even numbers when a switch on, and odd when...
Design a 4 bit Counter that displays even numbers when a switch on, and odd when the switch off . 1.by using multisim (explain in details and information of how you do it in multisim) show steps of multisim and which gates numbers you used.
Design a 4 bit Counter that displays even numbers when a switch on, and odd when...
Design a 4 bit Counter that displays even numbers when a switch on, and odd when the switch off by D flip-flop by training borad
Design a 4 bit Counter that displays even numbers when a switch on, and odd when...
Design a 4 bit Counter that displays even numbers when a switch on, and odd when the switch off and write a report about it.
Design a 4 bit Counter that displays even numbers when a switch on, and odd when...
Design a 4 bit Counter that displays even numbers when a switch on, and odd when the switch off and write a report about it.
Design a Decoder Circuit that can convert a 4-bit Binary Number to a Hexadecimal Output.
Design a Decoder Circuit that can convert a 4-bit Binary Number to a Hexadecimal Output.
For a direct mapped cache design with 32 bit address, the following bits of the address...
For a direct mapped cache design with 32 bit address, the following bits of the address are used to access the cache Tag Index Offset 31 - 8 7 - 4 3 - 0 What is the cache block size (in words)? How many entries does the cache have? What is the ratio between total bits required for such a cache implementation over the data storage bits? Starting from power on, the following byte-addressed cache references are recorded. Address 0...
VHDL Code: Design a 16-bit 4-to-1 multiplexer using data-flow implementation style. Data inputs and output should...
VHDL Code: Design a 16-bit 4-to-1 multiplexer using data-flow implementation style. Data inputs and output should be 16-bit vectors. In your test bench, you should include enough number of test cases to show the correctness of your design.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT