We know that the NAND gate is universal, so all other gates can be built using...
We know that the NAND gate is universal, so all other gates can be built using just NAND gates. Hence we should be able to build a half-adder using NAND gates. And we can.
a) Draw the AND operation as a circuit using only 2 NAND gates
b) Check your design in (a) by showing the full truth table for it
c) Draw the OR operation as a circuit using only 3 NAND gates
Homework Answers
Solution
Part a
Part b
| A | B | A NAND B | (A NAND B) NAND (A NAND B) | A AND B |
| 0 | 0 | 1 | 0 | 0 |
| 0 | 1 | 1 | 0 | 0 |
| 1 | 0 | 1 | 0 | 0 |
| 1 | 1 | 0 | 1 | 1 |
Part c
For a half adder, sum = A XOR B
Carry = AB
The half adder circuit using the NAND gates is shown below:
Add Answer to:
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