Physics · Ch 16 — Semiconductor Devices

AND Gate

16.5.3

AND Gate

The AND gate has two (or more) inputs and a single output, and represents LOGICAL MULTIPLICATION. Its output Y is 1 (high) ONLY when ALL of its inputs are simultaneously 1 (high) -- for the standard two-input case, only when BOTH input A and input B are 1 together does the output become 1; in every other combination, the output stays 0 (low). Its Boolean expression is $Y=A\cdot B$ (Fig. 16.29), where the ' $\cdot$ ' symbol denotes the logical AND operation, directly analogous to ordinary multiplication (since multi …

Figure 16.29Fig. 16.29: AND gate symbol

Fig. 16.29 — Fig. 16.29: AND gate symbol

Drawn by us to help you understand the concept clearly, and verified to make sure it's accurate. For exams, practice from your textbook's own diagram.

What this figure shows. A shape with a flat, STRAIGHT vertical back edge on the input side, transitioning into a rounded, SEMICIRCULAR (D-shaped) front on the output side -- the standard AND-gate shape, distinct from the OR gate's curved-back outline. Two separate input lines (A and B) enter the flat back edge from the left, and a single output line (labelled $Y=A\cdot B$ ) leaves the …

Table T16.29Truth table for the two-input AND gate, printed alongside Fig. 16.29's symbol, showing all four possible combinations of inputs A and B and the resulting output Y, confirming that Y is 1 in exactly one row (both inputs high) and 0 in every other row

Input A | Input B | Output Y

0 | 0 | 0

0 | 1 | 0 …

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