b. Design a circuit that has a 4-bit binary input and has the following three outputs and defined as follows. If the lower order 2 bits are 00, then the output will be addition of the higher order 2 bits. If the lower order 2 bits are 11, then the output will be the AND operation of the higher order 2 bits.
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- Design 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 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>BIt is desired to design a circuit to multiply the signed 3-bit number A with the signed 3-bit number B. How many bits should be the output of this circuit to be designed?
- Design a circuit that uses 4-bit full adders and AND gates. Given two 8-bit 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; else R = A + B + 1;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.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.
- 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 psoitiveIt is desired to design a circuit to multiply the unsigned 3-bit number A with the unsigned 3-bit number B. How many bits should be the output of this circuit to be designed?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
- Design a 4-bit arithmetic circuit, with two selection variables S1 and S0, that generates the arithmetic operations in the following table. Draw the logic diagram for a single bit stage. Note that B’ represents “Not B”. Please write down an optimized equation for Xi and Yi,Design a circuit with a 4-bit BCD input A, B, C, D that produces an output W, X, Y, Z that is equal to the input + 3 in binary. For example, 9 (1001) + 3 (0011) = 12 (1100). The outputs for invalid BCD codes are don’t-cares. Write the truth table and the Karnaugh maps used to simplify the Boolean expression!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)*