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 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 (one was positive, the other negative), invert the product.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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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 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 (one was positive, the other negative), invert the product.

 

please use logism or a software to do this

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