7. From the truth table in Table 1, do the following: Write the minterm Boolean expression. Draw a logic circuit that will perform the logic function. i. ii. INPUTS OUTPUT C Y 1 1 1 1 1 1 1 1 1 1 0. 1 1 1 Table 1
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- 5. Write the Boolean expression equivalent to the following logic circuit. Do not simplify! Hint: Each bubble has the same effect as an invertor. A B A C D D FA Write the Boolean expression of the following Logic diagram. B C D=A combinational logic circuit that compares between two 2-bit numbers A (A1 A0) and B(B1 B0) is designed. Output F is high when ? > ? and low when ? < ?. 1) Are there any undefined outputs? If there are any undefined outputs what are the inputs?
- Design the following combinational logic circuit with a four-bit input and a three-bit output. The input represents two unsigned 2-bit numbers: A1 A0 and B1 B0. The output C2 C1.C0 is the result of the integer binary division A1 A0/B1 B0 rounded down to three bits. The 3-bit output has a 2-bit unsigned whole part C2 C1 and a fraction part CO. The weight of the fraction bit CO is 21. Note the quotient should be rounded down, i.e. the division 01/11 should give the outputs 00.0 (1/3 rounded down to 0) not 00.1 (1/3 rounded up to 0.5). A result of infinity should be represented as 11.1. A minimal logic implementation is not required. (Hint: start by producing a truth table of your design).Write the Boolean logic statement for this circuit.Write Boolean expressions for each of the Logic circuit diagrams given below:
- This question is from the subject Digital Logic Design. Q2. Two Boolean functions are represented in the following truth table.a) Represent the function F1 and F2 in Some of Min-terms (SOM).b) Simplify both functions as Some of Products (SOP).An X-input exclusive-OR gate and a Y-input exclusive-OR gate (where X=3, Y=4 have their outputs connected to a 2-input exclusive-NORgate. Do the following:a) Draw the logic diagram and analyze the logic expression of the output (in standard SOPform).b) List out all essential prime implicants.For a combinational logic circuit of four bits Binary Coded Decimal (BCD) inputs and one output having following conditions: • if the equivalent decimal number of the BCD is even then output is 0 • if the equivalent decimal number of the BCD is odd then output is 1 Draw the truth table 20. i) ii) Find the simplified logic function using K-Map ii) Draw the logic diagram
- Draw a logic diagram for part a and simplify the Boolean expression in part (a) using a karnaugh map for part b. The picture contains more details of the question.Task 6: Simplifying Boolean functions in EWB using the logic converter Simplify the following Boolean expression in EWB using the logic converter F (A, B, C) = AB'C'+ A'B'C'+ A'BC'+ A'B'CConvert the following logic gate circuit into a Boolean expression, writing Boolean sub-expressions next to each gate output in the diagram: C DD