Design a combinational circuit that accepts a four-bit number (A,B,C,D) and generates 3 output (X,Y,Z) which is equal to the sum of the binary numbers formed by the input (AB) and (CD). HENT:(AB + CD = ??)
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- Q19/ a combinational circuit has four inputs (A, B, C, D), which represent a binary- coded- decimal digit. The circuit has two groups of four outputs S, T, U, V, and W, X, Y, Z each group represents a BCD digit. The output digits represent a decimal number which is 1 more than four times the input number. For example if ABCD=0011, the output are 0001 0011. Assume that invalid BCD digits do not occur as inputs. a- Construct the truth table b- Write minterms and max terms for all output C- Find SOP and POS for all output8- Add and subtract the following numbers without converting them into decimal. Binary numbers (10101111)2 and (10010101)2 ● ● ● Binary numbers (11001001)2 and (10110101) 2 Hexadecimal numbers (71) 16 and (2C)16 8. a. Draw the logical circuit using AND, OR, and NOT gates of the following Boolean function F = x'y + xz' +yz. b. Construct the truth table of the function. Redesign your circuit using NAND gates.F(A,B, C, D) = ABCD+ A B D+ B CD +ABC + AB CD (i) Simplify the Boolean expression to F(A, B,C, D) = AC + AB
- Implement the following expression using a multiplexer: F(A,B,C,D)=summation m(0,3,4,7,8,9,13,14)Design a combinational circuit that increments the 4-bit binary input. The output of the circuit is also represented as 4 bits. For example, if the input is 0011 then the output is 0100. Note: the increment of 1111 is 0000. Let the input variables be A, B, C, and D, while the output variables be W, X, Y, and Z. What is the boolean function (in sum of minterm format) of output W? What is the boolean function (in sum of minterm format) of output X? What is the boolean function (in sum of minterm format) of output Y? What is the boolean function (in sum of minterm format) of output Z?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 53
- In the boolean expression Y(A,B,C)=(A+B*+C) (A*-B*+C), the term A*+B*+C* is a_.........where * means complement maxim um termmaxtermCmintemO sum termTrue or false : Arg (z) is just another notation for arg (z).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?
- Q4// Design a combinational circuit with three inputs, A, B, and C, and three outputs,x, y, bläi 10 and z. When the binary input is 0, 1, 2, or 3, the binary output is one greater than the input. When the binary input is 4, 5, 6, or 7, the binary output is two * less than the inputDesign 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.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 input
