DESIGN A COMBINATIONAL CIRCUIT THAT
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1. DESIGN A COMBINATIONAL CIRCUIT THAT GENERATES THE 9'S COMPLEMENT OF A BCD DIGIT.
2 DESING A COMBINATIONAL CIRCUIT THAT COMPARES TWO 4-BIT NUMBERS B AND C TO CHECK IF THEY ARE EQUAL. THE CIRCUIT HAS ONE OUTPUT, Z, SO THAT Z = 1 IF B = C AND Z = 0 IF B IS NOT EQUAL TO B.
3. A COMBINATIONAL CIRCUIT IS DEFINED BY THE FOLLOWING THREE BOOLEAN FUNCTIONS. DESIGN THE CIRCUIT WITH A DECODER AND EXTERNAL GATES
- F1= X'Y'Z' + XZ
- F2= XY'Z' + X'Y
- F3= X'Y'Z + XY
*HINT: OBTAIN THE KMAP AND TRUTH TABLE
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- Design a digital circuit that performs the sum of two ASCII-encoded numbers A and B standard in 7 bits. Both operand A and operand B contain two digits, that is, the ones and tens. Each digit is represented individually using ASCII encoding standard in 7 bits. For its part, the result will have 3 digits, that is, units, tens and hundreds, this for avoid overflow. These 3 digits will also be encoded in standard ASCII code in 7 bits. As an additional restriction, the sum of the two operands must be done in natural binary, A and are always psoitiveDesign a digital circuit that performs the sum of two ASCII-encoded numbers A and B standard in 7 bits. Both operand A and operand B contain two digits, that is, the ones and tens. Each digit is represented individually using ASCII encoding standard in 7 bits. For its part, the result will have 3 digits, that is, units, tens and hundreds, this for avoid overflow. These 3 digits will also be encoded in standard ASCII code in 7 bitsDesign a circuit that takes three bits, X2, X1, X0 as input and produces one output, F. F is 1 if and only if 2<=X<=5 when X = (X2, X1, X0) is read as an unsigned integer. For example, if X2=1, X1=0, and X0=0, then the unsigned binary value is 100, which is 4, so the output would be 1. Your Assignment For This Problem Includes the Following Design the necessary circuit using Logisim to implement the situation described above. Use Kmaps for simplification. Be VERY careful to get the correct functions for your output before simplifying and designing the circuit with Logisim. You should minimize the circuit. Your circuit should have three inputs and one LED output. All inputs (X2, X1, X0) and output (F) should be labeled (in Logisim, not by hand). Please use these names to indicate the inputs and output so all projects are consistent. You should also include your name as a label on the circuit. Test your circuit to be sure it is working correctly.
- Design a combinational circuit that uses 4-bit adders and 2-to-1 MUXes. Given two 8-input signed 2s-complement numbers A and B and a binary input signal M, your circuit should produce an 8-bit signed 2s-complement result R, as follows: if (M == 0) R = A + 7; else R = B + 15;Design a circuit that compares two 3-bit numbers A and B to check if they are equal and less than. The circuit has two outputs X and Y, So that X=1 if A==B and X=0 if A!=B and Y=1 if A<B and Y=0 if A>BConsider two four bit numbers A and B, where either both the numbers are even or both of them are odd. Construct a combinational circuit which will perform the following operations: If A and B are both even, calculate A+B, else calculate A-B
- Build a circuit that takes four bits as input: W, X, Y, Z. Treat WX as a 2-bit unsigned binary number, and treat YZ as a second 2-bit unsigned binary number. Your circuit should generate the output corresponding to the product of WX and YZ. You will need 4 bits of output for this problem.For example, if your input was 1011, your inputs correspond to 2 and 3. That product is 6, so your output will be 0110.Create a truth table for this problem, show all k-maps and minimizations, and build the corresponding (minimized) circuit. Use XOR, XNOR, NAND, and NOR as appropriate if it reduces the number of gates used.In this problem, you should design a two-bit comparator. This circuit should have three outputs named l, g, and eq. The circuit should get two digits binary numbers (00, 01, 10, 11), and the output should change based on these rules:• If first number > second number then g = 1, l = 0, and eq = 0• If first number < second number then g = 0, l = 1, and eq = 0• If first number = second number then g = 0, l = 0, and eq = 1Your circuit will have 4 input (2 bit for the first number, and 2 bits for the second number)a. Draw the truth table for the comparator for unsigned numbers b. Show the circuit.Chose the correct answer for the output F of the following circuit ( Assume that A= 101010, B= 100101, C=111101 and D =110100 and the first bit out from the circuit is bit 0)*
- Design a circuit using a Multiplexer, (((USING A MULTIPLEXER NOT A DECODER))) that has two inputs X, and S, where X represents an 8-bit BCD number,S is a sign bit. The circuit has one output Y, which is the Binary representation of thesigned-magnitude BCD number. A negative output is represented in the Binary 2’scomplement form.Based on the following image answer the following questions; a. Write a boolean algebra expression for each of Q0, Q1, Q2, and Q3: b. Draw a circuit that produces each of the functions from a single set of inputs A1 and A0: c. Each input combination of A1 and A0 represents a 2-bit binary number. How is this related to the outputs?Design a sequence detector for the bit pattern “101010”.- Work out the state diagram in a similar way.- Then code the state diagram in Verilog. PLEASE CODE THE STATE DIAGRAM IN VERILOG!