Digital Fundamentals (11th Edition)
11th Edition
ISBN: 9780132737968
Author: Thomas L. Floyd
Publisher: PEARSON
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2. Consider the circuit below.
a. Write the Boolean expression for output F in terms of A, B and C.
b. Construct a truth table for the circuit with A as MSB and C as LSB.
c. Write the Canonical SOP and POS forms for output F.
A
B
C
3. Draw the logic circuit represented by the expression F(A, B) = AB using no more than 5
units of 2-input NAND gate and write the corresponding Boolean expression.
4. Design a combinational circuit with three inputs x, y, z and three outputs A, B, C. The
output is equal to 0 when the input variable has more 1's than 0's and the output is
equal to 1 more than the binary input whose input variables have more 0's than 1's.
Fill the values in the truth table and draw the logic diagram
(few values are filled for reference)
X
0
0
0
0
1
1
1
1
y
0
0
1
1
0
0
1
1
Z
0
1
0
1
0
1
0
1
DB = A'x
DA = (AX+BX)
A
0
0
B
0
0
5. Design a sequential circuit with two D flip-flops A and B, input x and output Y.
The flip-flop input equations and the circuit output equations are as follows:
C
1
Y = (A+B)x
(Draw the circuit diagram and state table)
0
Design a logic circuit whose output is HIGH only when a majority of inputs A, B,
and C are LOW. Draw the circuit using all NAND gates.
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- "Design a combinational circuit defined by the Boolean function F(X,Y,Z) = (X'+Y)(X'+Z')(X'+Y'+Z), using a decoder and external gate/s. In order to implement this, the size of the decoder should be and we need to include and external gate."arrow_forward4. Design a combinational circuit with three inputs x, y, z and three outputs A, B, C. The output is equal to 0 when the input variable has more 1's than 0's and the output is equal to 1 more than the binary input whose input variables have more 0's than 1's. Fill the values in the truth table and draw the logic diagram (few values are filled for reference) X 0 0 0 0 1 1 1 1 y 0 0 1 1 0 0 1 1 Z 0 1 0 1 0 1 0 1 A 0 0 B 0 0 C 1 0arrow_forwardConstruct a truth table for R(x,y,z) = x' y + x' z + y' z' and draw the corresponding logic circuitsarrow_forward
- 1. Write an HDL gate-level description of the circuit shown in C F C' B.arrow_forwardDesign a combinational circuit with three inputs, x , y , and z , and three outputs, A, B, and C . When the binary input is 0, 1, 2, or 3, the binary output is two greater than the input. When the binary input is 4, 5, 6, or 7, the binary output is two less than the input.arrow_forwardQuestion 2: A combinational circuit has 4 inputs (A, B, C, D) and 1 output (F). ABCD represent a majority function. The output of the majority function is equal to 1 if the input variables have more 1's than O's, otherwise the output is 0. a. Construct the truth table of the required circuit. b. Implement the minimized expression of F using 3-level all NAND gate circuit. Implement a 2-1Multiplexer using three-state buffers.arrow_forward
- Construct a truth table summarizing the operation of the circuitarrow_forwardFirst, 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…arrow_forwardDesign a truth table for a combinational circuit that detects an error in the representation of a decimal digit encoded in BCD. (This circuit should output a 1 when the input is one of the six unused combinations for BCD code.)arrow_forward
- 1. Design a full-subtractor circuit with the truth table .arrow_forward1. Draw a circuit to get mod-12 counter?What is the modulus if Q3 and Q0 drive the nand gate?arrow_forward5. Design an appropriate combinational circuit that implements a digital system with the following output functions: ROR, SHL, AND, XOR, ADD, DIV, SUB, MOV using a decoder. 6. Design the circuit diagram and truth table for the Boolean expression : F = (A’B) + (C’B).arrow_forward
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