[SOLVED] BLG 231E - Digital Circuits Assignment 4

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  1. The combinational circuit ARITHMETIC/LOGIC (A/L) performs the following operations depending on the value of the control inputs X, Y, and Z.
 

X Y Z Result (O) Cout
0 0 0 B – A  
0 0 1 A + B Carry
0 1 0 A – Borrow
0 1 1  Φ Φ
1 0 0 A  B Φ
1 0 1 Φ Φ
1 1 0   Φ
1 1 1 Φ Φ

The meanings of symbols are given below:

Symbol Meaning
+ Arithmetic addition
– Arithmetic subtraction
  4-bit logic AND between corresponding bits of A and B: A3B3, …, A0B0.
  4-bit logic XOR between corresponding bits of A and B: A3 B3, …, A0 B0.
Φ Don’t care

 

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Design and draw this circuit using only the standard components and logic gates given below, paying attention to the maximum number allowed for the first three:

Type Maximum number allowed
4-bit parallel adders 2
8:1 multiplexer 1
2:4 decoder 1
XOR gates No restriction
NOT gates No restriction
OR gates No restriction
AND gates No restriction

 

 

  • BLG231E-Assignment-4-sdeyrz.zip