Let X= ABC + BCA + CAB . Evaluate X for: 1. A=1,B=0,C=1 2. A=B=C=… - Vidyadip

Question

Let $\text{X}=\overline{\text{ABC}}+\overline{\text{BCA}}+\overline{\text{CAB}}.$ Evaluate X for:

$\text{A}=1,\text{B}=0,\text{C}=1$
$\text{A}=\text{B}=\text{C}=1$
$\text{A}=\text{B}=\text{C}=0$

✓

Answer

Given,
Output $\text{X}=\overline{\text{ABC}}+\overline{\text{BCA}}+\overline{\text{CAB}}$

$\text{A}=1,\text{B}=0,\text{C}=1$

$\text{X}=1.\Big(\overline{0.1}\Big)+0\Big(\overline{1.1}\Big)+1\Big(\overline1.0\Big)$

$=1.\bar{0}+0.\bar{1}+1.\bar{0}$

$=1.1+0.0+1.1$

$=1+0+1$

$=1+1$

$=1$

$\text{A}=\text{B}=\text{C}=1$

$\text{X}=1\Big(\overline{1.1}\Big)+1\Big(\overline{1.1}\Big)+1\Big(\overline{1.1}\Big)$

$=1.\bar{1}+1.\bar{1}+1.\bar{1}$

$=1.0+1.0+1.0$

$=0+0+0$

$=0$

$\text{A}=\text{B}=\text{C}=0$

$\text{X}=0\Big(\overline{0.0}\Big)+0\Big(\overline{0.0}\Big)+0\Big(\overline{1.1}\Big)$

$=0.\bar{0}+0.\bar{0}+0.\bar{0}$

$=0.1+0.1+0.1$

$=0+0+0$

$=0.$

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