Question

Design combinational circuit using rom ,the circuit accepts 3 bit number and generates output binary number equal to square of the input number

Answer 1

I once made a real-time multi-camera video processing software, doing motion detection and cumulative histographic magic, all on 33MHz processors and 640Mb of RAM. The hard part was making this go fast; copious amounts of hashing, bits-shifting, cheating, swearing and late nights with pizza and ephiphanies for about 4 years. Oh, and I did a version dealing with color as well. Oh, and a module that could see the difference between steam and white smoke in large rooms (like nuclear reactors, as it were). Hah, you just try it! You wouldn't find examples of such in any text-book. :)

Answer 2

To design a combinational circuit that accepts a 3-bit number and generates an output binary number equal to the square of the input number, you can use a Read-Only Memory (ROM) chip.

• The ROM chip stores the square values for each possible 3-bit input, so that when a particular input is applied, the corresponding output square value is generated.
• Here are the steps to design the circuit:
• Determine the number of memory locations (address) required: Since the input is 3 bits wide, there are 2^3 = 8 possible input values. Hence, you will need 8 memory locations to store the square values.
• Decide the size of the ROM: The size of the ROM is determined by the number of bits in the output. In this case, you need a 4-bit output since the maximum square value for a 3-bit input is 63 (binary 111111), which requires 6 bits. Hence, you will need a 4k x 4 ROM chip.
• Generate the truth table: Create a truth table that lists all the 8 possible input values and the corresponding output square values.
• Load the square values into the ROM: Load the square values from the truth table into the ROM memory locations using a programmer.
• Connect the input and output to the ROM: Connect the 3-bit input to the address inputs of the ROM and the 4-bit output from the ROM to the output of the circuit.
• Add any necessary control signals: Add any necessary control signals, such as chip select, write enable, and output enable, to the ROM as per the datasheet.
• The combinational circuit is now complete, and when a 3-bit input is applied, the ROM will generate the corresponding square value as the output.

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