Draw the symbols and write the truth tables and Boolean expressions of a two-input OR gate and a two-input AND

Numerical · Q35

Q. Draw the symbols and write the truth tables and Boolean expressions of a two-input OR gate and a two-input AND gate.

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The OR-gate symbol has a curved back edge and a single pointed tip; its truth table gives $Y=0$ only when $A=0$ and $B=0$ , and $Y=1$ otherwise, with Boolean equation $Y=A+B$ . The AND-gate symbol has a flat back edge and a rounded (D-shaped) front; its truth table gives $Y=1$ only when $A=1$ and $B=1$ , and $Y=0$ otherwise, with Boolean equation $Y=A\cdot B$ .

$A$	$B$	OR: $A+B$	AND: $A\cdot B$
0	0	0	0

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Same / Similar Concept — real previous-year questions on the same or a closely similar concept, not this exact question.

CBSE 2024Set ANNUAL1 markMCQ
$Q. The logic gate for which output is high, when at least one input is low, is$
(a) NAND
(b) AND
(c) NOR
(d) OR.
›Reveal solutionSolution

A NAND gate's truth table shows output = 1 in every row except the all-1 input row — exactly the condition "at least one input is low ⟹ output high".

A NAND gate (NOT-AND) has the truth table (for two inputs A, B):

A B Y
0 0 1
0 1 1
1 0 1
1 1 0
…

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CBSE 2023Set ANNUAL1 markMCQ
$Q. Universal gates are$
(a) AND and OR
(b) OR and NOT
(c) AND and NOR
(d) NAND and NOR
›Reveal solutionSolution

NAND and NOR are called universal gates because either one alone can be combined repeatedly to build every other basic logic gate (AND, OR, NOT).

A gate is called "universal" if any Boolean logic circuit (AND, OR, NOT, and hence any combinational circuit) can be built using only that type of gate. Both NAND and NOR individually have this property — for example, tying both inputs of a NAND gate together gives a NOT gate, and combinations of NAND …

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A	B	Y
0	0	1
0	1	1
1	0	1
1	1	0
…

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Q.Draw the symbols and write the truth tables and Boolean expressions of a two-input OR gate and a two-input AND gate.

Concept understanding — Logic Gates (AND, OR, NOT, NAND, NOR)

Q.Draw the symbols and write the truth tables and Boolean expressions of a two-input OR gate and a two-input AND gate.

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