Q2 4-7. A four-bit binary number is represented as A3A2A1A0, where A3, Az, A1, and Ao represent the individual bits and Ao is equal to the LSB. Design a logic circuit that will produce a HIGH output whenever the binary number is greater than 0010 and less than 1001 and from 1010 to 1100 Q3
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- Expert Q&A Done Design a combinational logic circuit that converts a 4-bit binary number into its corresponding 2's complement representation. For example, if the 4-bit number is "1111", the outputs should be "0001". Similarly, if the 4-bit number is "0000", the outputs should be "0000" Please complete the following truth table. Input 4-bit number 2's complement of the input number B s1 S2 S3 S4 ill out the following K-maps and then write down an optimized equation for S1, S2, S3, and S4, respectively. Hint: the equation of S4 can be immediately determined by inspecting the truth table. S1 52 53Computer Science Design combinational logic for outputting the wait time associated with each state. For example, state 000 has the main street green light on for 15 seconds. The combinational logic for the input 000 would have an output 1111 corresponding to decimal 15. Let the outputs W3, W2, W1 and W0 represent a binary number corresponding to the wait time.5. Design a logic circuit with 3-bit inputs A, B, C that produces an output W, X, Y, Z that is equal to the input + 6 (110) in binary. For example If the input is equal to 5 decimal then the output should be 5+6=11 decimal, the circuit will take all numbers in binary form and the output will also be in binary (101)B + (110)B=(1011)B
- The Excess-3 coding system is a four-bit digital coding system for encoding all decimal digits from 0 to 9. To encode a decimal digit, we add three to it and then convert the result to binary. A valid code has the following range:1. Minimum = 0011, encoding decimal 0( 0 + 3 = 3 = 0011)2. Maximum = 1100, encoding decimal 9(9 + 3 =12 = 1100)Design a logic circuit that will detect an error if a four-bit number is not a valid Excess-3 number. (Hint: Use four input variables to represent the four bits of the Excess_3 number. If the combination of the input bits is 0000,0001,0010,1101,1110, or 1111, the output will be HIGH. For all other cases, the output will be LOW.)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.First, you must create a logic circuit using only basic gates such as AND, OR, NOR, NAND, NOT, etc. to implement an ADDER capable of adding two 4 bit binary numbers. Second, you must create a logic circuit using only basic gates such as AND, OR, NOR, NAND, NOT, etc. to implement a Subtractor that is capable of subtracting the second number from the first, by converting the second number into its 2's complement form and then adding the resulting number to the first number. You do not need to worry about accomodating the addition or subtraction of negative numbers. Finally, create a limited ALU (Arithmetic logic unit) circuit using Logism that implements a Full Adder circuit capable of adding 2 – 4 bit binary numbers and subtracting 2- 4 bit binary numbers. Also, implement the ability to select a bitwise AND operation and a bitwise OR operation. For the ALU it is acceptable to use the Adder and Subtractor circuits that are listed under the "Arithmetic" folder in Logism. (Logism tips and…
- 1 The following diagram represents a multiplier circuit that takes 2-bit binary numbers A1 A0 and BB1 B0 and produces an output binary number Y3 Y2 Y1 YO (LSB) that is equal to the arithmetic product of the two input numbers. Design this logic circuit using a decoder (You can use any type of a decoder). A1 Y3 Ao Multiplier Circuit Y2 (LSB) В Bo (LSB) |(LSB) Y,Designing Combinational Logic Circuits Exercise Example: Design a 4-input (A,B,C,D) digital circuit that will give at its output (X) a logic 1 only if there more ones than zeros in the binary number formed at the input. Inputs Output X = АвсD 0 0 0 0 1 0 0 0 0 0 1 0 0 1 0 1 0 0 0 1 0 1 1 CD 2 АВ 00 01 11 10 3 1 4 00 01 1 1 11 0 1 0 0 0 1 0 0 1 10 1 0 1 11 1 7 1 1 8 1 10 9 0 1 1 0 0 1 12 1 13 1 10 1 14 | 1 15 1 X = 1 1 1 1 1 А в С D X XAnswer this question, part (1), (2) & (3). Design a combinational logic circuit that converts a three-bit binary number from code A to code B, according to the table on the right. Answer the following questions: Code A Code B 000 000 001 001 011 010 010 011 110 100 111 101 101 110 100 111 Construct the truth table for the circuit. Derive the Sum-of-Products (SoPs) Boolean expression for each of the circuit outputs. Using Boolean algebra, simplify the expression you obtained in Part 2 above.
- Q6: - binary number (e.g., 101 → 100. Also, 000 → 111): a) Show the truth table. b) Show the Boolean expressions for the outputs in SoP. c) Design an efficient circuit using NAND gates only. Design a 3-bit DECrementor, that is, the cicuit generates the previous number of the inputGiven two 8-bit unsigned numbers, A and B:Using MSI components (comparators, multiplexers) design a circuit whose output X is as follows: X IF A <=B 2B IF A >B 2AF=A+B F-AB O , Find the output of the following combinational logic circuit if A4 A3 A2 A1 * = 1101 and 84 B3 B2 B1 = 1110 A, B, A. B. A By A, B A B C. A BC. ABC ABC IMSB) FA4 FA3 FA2 FAI (1SB) Σ Ca Σ Σ 10011 10001 11011 10100 For the following logic circuit, inputs of the display are BCD7-sce