Arithmetic Logic Unit


NAME:_________________________________________

Complete the following table (all values in the table MUST be represented in BINARY).

Before submitting your work, verify that the ALU answer [F(3..0)] matches the correct answer. If it does not, ASK FOR HELP and correct your answer.



  InputsOutputs
 FUNCTIONA(3..0)B(3..0)S(3..0)CNMF(3..0)Cn+4
example4+10 (addition)0100101010010011100
a)14+13 (addition)       
b)14-12 (Subtraction)
Hint: Carry adds 1
   1   
c)3-1 (decrement)       
d)NOT A when A=14       
e)NOT B when B=15       
f)A and B
A=3, B=3
       
g)A or B
A=7, B=14
       
h)A+B (addition)
A=7, B=14
       
i) 
A=10 B=13
       
j) 
A=5 B=5
       

For i-j: pick 2 more functions that HAVE NOT BEEN USED and perform those functions. Make sure you type in the function you selected into the first column (A and B are given, but you can select a function that uses only one of the values if you wish).

The ALU also is responsible for comparisons. When placed in SUBTRACT MODE (A MINUS B MINUS 1) and the Cin is low (before being inverted), the A=B output will come on when Operand A = Operand B. Try this in the simulation.

Questions:

1) What does the M input represent (ie what does the ALU do when M=0 and what does it do when M=1)? How does that relate to the Table given in the simulation?

2) If you have result of 0 and Cout is HIGH, what HEX VALUE does this represent?

3) Try generating a negative number (eg 2-5). Did you get the expected answer? If not, speculate why not? If you did, explain how the ALU obtained that value.

4) What is a half adder circuit?

5) Since there is NO multiply function in this ALU, how could a computer that uses this ALU do MULTIPLICATION? (Hint: it must do something a number of times)

6) Since there is NO divide function in this ALU, how could a computer using this ALU do DIVISION? (hint it must do something a number of times).

7) Find a data sheet for the ALU (74LS181) and paste the link and pinout diagram into this document.

8) On what pins would the following information be placed:

a) Operand A

b) The Function

c) Operand B

d) The answer out

e) The M Bit



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