Problem 2Design a combinational circuit with inputs a, b, c, d and outputs w, x, y, z. Assume that the inputs a, b, c,d represent a 4-bit signed number (2s complement). The output is also a signed number in 2s complementwhich is 1 greater than the input if the input is less than 3, and is 2 less than the input if the input isgreater than or equal to 2.

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Answered: Problem 2 Design a combinational…

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Design a code converter that converts an unsigned number a into its negative 2's complement representation -a. Specifically, the circuit has two inputs: a1 and ao, and three outputs: b1 and bo (the equivalent to -a) and valid, which is 1 when -a can be represented in 2's complement and O otherwise. 1. Write the truth table for the code converter. 2. Give the simplest SOP expressions for the functions b1, bo, and valid.
A majority circuit is a combinational circuit whose output is equal to 1 if the input variables have more 1's than 0's. The output is 0 otherwise. For examples in 3-bit majority circuit with the input variable x, y, z. The output variable is equal to 1 for the decimal numbers 3 (the binary number of 3 is 011), 5 (the binary number of 5 is 101), 6 (the binary number of 6 is 110), and 7 (the binary number of 7 is 111). All these numbers have more 1's than O's. (e.g., 3 in binary has two 1's and one O's; 7 in binary has three 1's, no 0's). Design a 4-bit majority circuit by finding the circuit truth table, the Boolean function, and the logic diagram.
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Design a 2-bit comparator. The comparator input has two 2-bit numbers A and B. A consists of 2 bits a1 and a0. B consists of 2 bits b1 and b0. The comparator has three outputs Z2, Z1, Z0. a. Show the truth table for this comparator. b. Write the logic equation for Z2 that are true if only if A < B c. Write the logic equation for Z1 that are true if only if A > B d. Write the logic equation for Z0 that are true if only if A = B e. Show the logic design for this comparator using the minimum number of AND, OR, and Inverters. f. Verify your design using Logisim.
You are asked to design a circuit to detect if an overflow occurs when subtracting two integers represented in two's complement: Z= X - Y. Let Sz, Sx, and Sy be the sign bit for Z, X, and Y respectively, and they are fed as input to the circuit. Let O be the output bit of the circuit, whose value is 1 if an overflow happens, and 0 if otherwise. a) Build the truth table for O as a Boolean function of Sx, Sy, and Sz. b) Write the canonical expression (sum-of-product) for the Boolean function defined in the part a. c) Implement the Boolean expression defined in part b with a circuit by using AND, OR, and NOT gates. Draw the wiring diagram.
From the circuit below : A B- Cin -Cout a. From the input signal A,B,Cin draw the output signal S and Cout b. If possible, simplify the circuit and draw the simple circuit INPUTA INPUT INPUT- OUTRUT Cout
Design a combinational circuit that detects an error in the representations of a decimal digit in Binary Coded Decimal (BCD). In other words, obtain a logic diagram for a circuit that accepts the four BCD bits as input and whose output is when the inputs contain any one of the six unused bit combinations in the BCD code.
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= 1 causes the heater to decrease its Q3: A Moore sequential circuit has three inputs (X2, X1, and Xo) that specify a temperature range in a room. The circuit has two outputs (I and D) that control a heater for the room; I = 1 causes the heater to increase its heat output, and D heat output. If the temperature range is 0, 1, or 2 for three successive clock cycles, the circuit generates I = 1, and conversely if the temperature range is 5, 6, or 7 for three successive clock cycles, the circuit generates D = 1; otherwise, I = 0 and D = 0. 1. Draw a state diagram. 2. Construct a state table. 3. Using D flip-flops, construct a state assigned table. 4. Determine the next-state and output logic expressions. 5. Sketch the corresponding logic circuit.
2. Design a combinational circuit with three inputs, x, y, and z, and three outputs, A, B, and C. When the binary input represents any of the decimal digits 1, 2, 3, or 6, the binary output should represent the decimal digit that is one greater than the input, that is 2, 3, 4 and 7, respectively. Similarly, when the binary input represents any of the digits 4, or 7, the binary output should represent the digit that is two less than the input. The remaining two inputs, that are the binary representations of the decimal digits 0 and 5 never occur. Draw the truth table, and give all the minimal forms for the functions that represent the outputs A, B, and C. U
4 bit 2’s Complement Multiplier INPUT A: 4 bit 2’s Complement numberINPUT B: 4 bit 2’s Complement numberOUTPUT: the product of A x B represented as a 8 bit 2’s Complement number Do this:Build a 4 Bit UNSIGNED Multiplier as a subcircuit named UnsignedMultiplier use AND gate ,full and half adders for the circuit
Q2 The adder-subtractor circuit of Figure below has the following values for mode input M and data inputs X and Y. In each case, determine the values of the four SUM S outputs, the carry C. and overflow V. M a) 1 b) 0 X 01110 10110 FA Y 11010 10111 FA 2. C₂ 5 - S FA S * G₂ FA Sp C C=- C=- C₁ FA V=

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