Blog Page 9

Simplify [ (2 – 3i) (3 + 2i) ] / (4 – 3i)

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Given Expression:

\frac{(2-3i)(3+2i)}{4-3i}

The solution to this problem is very simple. To start off we will first simplify the numerator terms
[(2 – 3i)(3 + 2i)] and then ,if needed, apply cross multiplication to further simplify the whole expression.

Solution:

\frac{(2 - 3i)( 3 + 2i) }{4 - 3i} = \frac{ 6 + 4i - 9i - 6i^{2}  }{4 - 3i}

  = \frac{ 6 -5i - 6i^{2}  }{4 - 3i}
= \frac{ 6 -5i + 6  }{4 - 3i}
= \frac{ 12 -5i  }{4 - 3i}

Now that the numerator is in simplified form

How to make an ALU with AND,OR,ADD operations?

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computer architecture vs computer organization

Today I am going to show you how to make an ALU with AND,OR,ADD operations.In this tutorial I will use the ALU we had already created in the tutorial ALU with AND,OR operations and simply integrate an ADDER Circuit to it.

Express 2e^3i*pi into standard or rectangular form

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q3.2

 

 

 

 

 

 

 

Similarly we can express the following complex numbers in standard or rectangular form.

  • 10e^i*pi
  • 10e^i*pi/2
  • e^2i*n(pi)

 

Express 10e^2.095i into standard or rectangular form

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q3.1

 

 

 

 

 

 

Similarly we can express the following complex numbers in standard or rectangular form.

  • 8e^3.095i
  • 10e^3.492i

Express 4cis330 into standard or rectangular form

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q2.2

 

 

 

 

 

Similarly we can express the following complex numbers in standard or rectangular form.

  • 9cis(pi/2)          (pi/2)=90
  • 8cis0
  • cis (3pi/2)         (3pi/2)=270

What is an ALU?

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computer architecture vs computer organization

ALU stands for “Arithmetic and Logic Unit”.

As it becomes pretty clear by the name, ALU is that part of the CPU ( central processing unit ) that deals with Arithmetic and Logic operations.
Note :

  1. ALU is a complex circuit that resides in the CPU ( the central processing unit ).
  2. In some processors, ALU is divided into two units, the AU known as the Arithmetic Unit , and the LU which is known as the Logic Unit.

Now that you know what an ALU actually is,lets get started with building a simple ALU that performs basic AND , OR operations . 🙂

How to make an ALU that performs AND , OR operations?

0
computer architecture vs computer organization

Today I am going to show you a simple and easy way to constructing your own little ALU ( ALU is the short form for : Arithmetic and Logic Unit ) .

To build an ALU that can perform AND,OR operations, simply follow the following steps: