10 Implement the simplified expression for the following figure using NOR gates only: O X NOR YY No correct answer O X NOR Y O X NOR Y) O X NOR Y
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- Truth tables simplifies the operations of the various logic gates.Draw a truth table to represent the logical operation {A+B +A’C)(B+A+AC’) and comment on your outputImplement the following Boolean expression using only XOR gates: A(B + C) + B(C + A) + C(A + B)NOR gate is equivalent to a negative AND gate. Select one: O True O False
- What is the primary motivation for using Boolean algebra to simplify logic expressions? It may reduce the number of gates. It may reduce the number of inputs required. It may make it easier to understand the circuit. All of the above are correct.1. Construct the function F2 using only NAND gates. F2 = (AB' + A' B)(C + D') 2. Construct the function F2 using only NOR gates. F2 = (AB' + A' B)(C + D')Draw the non-abbreviated logic diagram for the following Boolean expressions. (You may use XOR gates.) A) ((a’)’)’C) a’b + ab’F) ((ab XOR b’) + a’b)’K) (abc’) + (a’ b’ c’)’N) (((a + b)’ + c)’ + d)’
- Draw the non-abbreviated logic diagram for the following Boolean expressions. (You may use XOR gates.) K) (abc’) + (a’ b’ c’)’N) (((a + b)’ + c)’ + d)’Digital Logic and Computer Design The following picture is a 1-bit ALU that performs AND, OR and addition on a and b or a and not(b). Draw the required gates for the addition box and a truth table for the 1-bit ALUShow Two level implementation of the following expression using only or and not Gates (A+B').C.(B+C+D)Nor implementation
- 4 bit 2’s Complement Multiplier INPUT A: 4 bit 2’s Complement number INPUT B: 4 bit 2’s Complement number OUTPUT: the product of A x B represented as a 8 bit 2’s Complement number You are only allowed to use the basic gates: NOT, AND, OR, XOR. You may however, use these basic gates to build your own custom circuits (i.e. Adder). You are NOT ALLOWED to use Logisim’s built in circuits. Each custom circuit is to be implemented as a sub-circuit as discussed in class. PART 4: Using the 3 subcircuits you built in Parts 1-3, built a 4 bit 2’s Complement multiplier that uses the inversion method discussed in class. Name this circuit: SignedMultiplier HINTS: INVERSION METHOD: 1) If input A is negative, invert it. If input A is positive, leave it alone. 2) If input B is negative, invert it. If input B is positive, leave it alone. 3) Multiply A and B. 4) If both A and B originally had the same sign (both positive or both negative), do nothing. 5) If A and B originally had different signs…4 bit 2’s Complement Multiplier INPUT A: 4 bit 2’s Complement number INPUT B: 4 bit 2’s Complement number OUTPUT: the product of A x B represented as a 8 bit 2’s Complement number You are only allowed to use the basic gates: NOT, AND, OR, XOR. You may however, use these basic gates to build your own custom circuits (i.e. Adder). You are NOT ALLOWED to use Logisim’s built in circuits. Each custom circuit is to be implemented as a sub-circuit as discussed in class. PART 1: Build a 4 bit controlled 2’s Complement Inverter as a subcircuit named 4BitInverter PART 2: Build a 8 bit controlled 2’s Complement Inverter as a subcircuit named 8BitInverter PART 3: Build a 4 Bit UNSIGNED Multiplier as a subcircuit named UnsignedMultiplier PART 4: Using the 3 subcircuits you built in Parts 1-3, built a 4 bit 2’s Complement multiplier that uses the inversion method discussed in class. Name this circuit: SignedMultiplier HINTS: INVERSION METHOD: 1) If input A is negative, invert it. If input A…4 bit 2’s Complement Multiplier INPUT A: 4 bit 2’s Complement number INPUT B: 4 bit 2’s Complement number OUTPUT: the product of A x B represented as a 8 bit 2’s Complement number You are only allowed to use the basic gates: NOT, AND, OR, XOR. You may however, use these basic gates to build your own custom circuits (i.e. Adder). You are NOT ALLOWED to use Logisim’s built in circuits. Each custom circuit is to be implemented as a sub-circuit as discussed in class. PART 1: Build a 4 bit controlled 2’s Complement Inverter as a subcircuit named 4BitInverter