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Digital Basics Tutorial.

Drive XOR from NAND gate - logic exercise

Step 2 involves Invert of A and invert of B. check circuit for nand to inverter

So the digital logic circuit to drive XOR from NAND is below.

Diagram here

Clock Crossing Async FIFO Half Adder Full Adder Binary Adder Overflow Overflow Det Adder-Subtractor Multiplier Parity check RTL guidelines NAND to INVERTER VHDL RTL Arith Micro-ops Stack Org Parallel proc. Pipeline proc CMOS Intro
Some of the most important interview questions includes the conversion of gates. In this section we are going to discuss logic to drive XOR gate from using only NAND gates. Some other topics that we have already discussed listed below:

Convert NAND to Inverter logic
Drive XOR gate from NORgate.

Lets start the discussion with truth tables of XOR and NAND.
A
B
Y
0
0
0
0
1
1
1
0
1
1
1
0
A
B
Y
0
0
0
0
1
1
1
0
1
1
1
0
First reformat the XOR equation.
Step 1 :- A'B + AB' = [(A+B')' + (A'+B)'] using theorems T7, T8 & T9
Step 2 :- [((A')'+B')' + (A' + (B')')'] using theorems T7, T8 and T9

XOR Truth Table:-

NAND Truth Table

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From Digital Basics section we know the equations for XOR and NAND gates. The equations are also shown below:-

XOR equation = A’B + AB’
NAND equation = A’ + B’

Following are the steps to drive logic for XOR using NAND gates
Interview Questions. Main, FPGA, Digital basics.