Question

Construct a truth table for the logical operator NAND.

Answer 1

Answer with Step-by-step explanation:

We are given that NAND

We have to construct the truth table for the logical operator NAND

AND =
`A\cdot B`

NAND=
`\bar{A\cdot B}`=Opposite to
`A\cdot B`

It means if
`A\cdot B=0, \;then \;NAND=1`

If
`A\cdot B=1` then, NAND=0

NAND=
`\bar{A\cdot B}`

If A=0 and B=0 then
`A\cdot B=0`

Output in NAND=1

If A=0 and B=1 then
`A\cdot B=0`

Output in NAND=1

If A=1 and B=0 then
`A\cdot B=0`

Output in NAND=1

If A =1 and B=1 then
`A\cdot B=1`

Then, output in NAND=0