COMP2421 Computer Organization 2019/20 Semester 1
Lab 7 Logic Gate Design II
In this lab, we will have more practice on logic gate design by implementing a “1-bit adder with carry bit” using combinational circuit. It involves the skills of using the truth table, Boolean equations and Karnaugh map.
Below shows the block diagram of a 1-bit adder with carry bit.
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Input: A, B and Cin (Carry in) Output: S (Sum) and Cout (Carry out)
Complete the following Truth Table:
COMP2421 Computer Organization
2019/20 Semester 1
The “sum of product” (SOP) of S is shown as follows: Let C be Cin
̅̅̅̅̅̅ S=𝐴𝐵𝐶+𝐴𝐵𝐶+𝐴𝐵𝐶+𝐴𝐵𝐶
[Exercise] What is SOP of Cout? Step 3
Simplify the SOP of S.
By using the Karnaugh map:
̅̅̅̅̅̅ S=𝐴𝐵𝐶+𝐴𝐵𝐶+𝐴𝐵𝐶+𝐴𝐵𝐶
00 01 11 10
S cannot be simplified.
[Exercise] Simplify the SOP of Cout.
[Exercise] Create the circuit using Logism.
[Exercise] Create a 4-bit adder based on the 1-bit adder above.
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