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16:1 MUX
Theory
> A 16×1 MUX is a combinational circuit that selects one out of sixteen inputs and forwards it to a single output line based on 4 select lines.
> Selection Mechanism:
The binary combination of select lines determines which data input is connected to the output:
0000 → Y = D0
0001 → Y = D1
0010 → Y = D2
…
1111 → Y = D15
Truth Table
Boolean Expression
y = (s3' s2' s1' s0')d0 +
(s3' s2' s1' s0)d1 +
(s3' s2' s1 s0')d2 +
(s3' s2' s1 s0)d3 +
(s3' s2 s1' s0')d4 +
(s3' s2 s1' s0)d5 +
(s3' s2 s1 s0')d6 +
(s3' s2 s1 s0)d7 +
(s3 s2' s1' s0')d8 +
(s3 s2' s1' s0)d9 +
(s3 s2' s1 s0')d10 +
(s3 s2' s1 s0)d11 +
(s3 s2 s1' s0')d12 +
(s3 s2 s1' s0)d13 +
(s3 s2 s1 s0')d14 +
(s3 s2 s1 s0)d15
Block Diagram
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