There are three branches in a particular electrical circuit. An indicator light is on (True) if both the first and third branches are active (True) or if the second and third branches are active (True), but not (False) if both the first and second branches are active. The truth table for the indicator light is:a.1TTTTFFFF2TTTTFFTT3FTFTFTFTLightFTFFFFFTb.1TTTTFFTT2FTTTFFFF3FTFTFTFFLightFTFFTFFFc.1TTTTTTTTTFFTFFFF2FFFFTTTTFFFTTTTT3FFTTFFTTFFTTFFTTLightTTTTFFFFFFTFFFTTd.1TTTTFFFF2FFTTFFTT3FTFTFTFTLightFTFFFFFT

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There are three branches in a particular electrical circuit. An indicator light is on (True) if both the first and third branches are active (True) or if the second and third branches are active (True), but not (False) if both the first and second branches are active. The truth table for the indicator light is:<br><table border='0' cellpadding='0' cellspacing='0'><tbody><tr><td><p><a>a.</a></p></td><td><p><b>1</b></p></td><td><p>T</p></td><td><p>T</p></td><td><p>T</p></td><td><p>T</p></td><td><p>F</p></td><td><p>F</p></td><td><p>F</p></td><td><p>F</p></td></tr><tr><td><td><p><b>2</b></p></td><td><p>T</p></td><td><p>T</p></td><td><p>T</p></td><td><p>T</p></td><td><p>F</p></td><td><p>F</p></td><td><p>T</p></td><td><p>T</p></td></tr><tr><td><td><p><b>3</b></p></td><td><p>F</p></td><td><p>T</p></td><td><p>F</p></td><td><p>T</p></td><td><p>F</p></td><td><p>T</p></td><td><p>F</p></td><td><p>T</p></td></tr><tr><td><td><p><b>Light</b></p></td><td><p>F</p></td><td><p>T</p></td><td><p>F</p></td><td><p>F</p></td><td><p>F</p></td><td><p>F</p></td><td><p>F</p></td><td><p>T</p></td></tr><tr><td><td><td><td><td><td><td><td><td><td></tr><tr><td><p>b.</p></td><td><p><b>1</b></p></td><td><p>T</p></td><td><p>T</p></td><td><p>T</p></td><td><p>T</p></td><td><p>F</p></td><td><p>F</p></td><td><p>T</p></td><td><p>T</p></td></tr><tr><td><td><p><b>2</b></p></td><td><p>F</p></td><td><p>T</p></td><td><p>T</p></td><td><p>T</p></td><td><p>F</p></td><td><p>F</p></td><td><p>F</p></td><td><p>F</p></td></tr><tr><td><td><p><b>3</b></p></td><td><p>F</p></td><td><p>T</p></td><td><p>F</p></td><td><p>T</p></td><td><p>F</p></td><td><p>T</p></td><td><p>F</p></td><td><p>F</p></td></tr><tr><td><td><p><b>Light</b></p></td><td><p>F</p></td><td><p>T</p></td><td><p>F</p></td><td><p>F</p></td><td><p>T</p></td><td><p>F</p></td><td><p>F</p></td><td><p>F</p></td></tr><tr><td><td><td><td><td><td><td><td><td><td></tr><tr><td><p>c.</p></td><td><p><b>1</b></p></td><td><p>TT</p></td><td><p>TT</p></td><td><p>TT</p></td><td><p>TT</p></td><td><p>TF</p></td><td><p>FT</p></td><td><p>FF</p></td><td><p>FF</p></td></tr><tr><td><td><p><b>2</b></p></td><td><p>FF</p></td><td><p>FF</p></td><td><p>TT</p></td><td><p>TT</p></td><td><p>FF</p></td><td><p>FT</p></td><td><p>TT</p></td><td><p>TT</p></td></tr><tr><td><td><p><b>3</b></p></td><td><p>FF</p></td><td><p>TT</p></td><td><p>FF</p></td><td><p>TT</p></td><td><p>FF</p></td><td><p>TT</p></td><td><p>FF</p></td><td><p>TT</p></td></tr><tr><td><td><p><b>Light</b></p></td><td><p>TT</p></td><td><p>TT</p></td><td><p>FF</p></td><td><p>FF</p></td><td><p>FF</p></td><td><p>TF</p></td><td><p>FF</p></td><td><p>TT</p></td></tr><tr><td><td><td><td><td><td><td><td><td><td></tr><tr><td><p>d.</p></td><td><p><b>1</b></p></td><td><p>T</p></td><td><p>T</p></td><td><p>T</p></td><td><p>T</p></td><td><p>F</p></td><td><p>F</p></td><td><p>F</p></td><td><p>F</p></td></tr><tr><td><td><p><b>2</b></p></td><td><p>F</p></td><td><p>F</p></td><td><p>T</p></td><td><p>T</p></td><td><p>F</p></td><td><p>F</p></td><td><p>T</p></td><td><p>T</p></td></tr><tr><td><td><p><b>3</b></p></td><td><p>F</p></td><td><p>T</p></td><td><p>F</p></td><td><p>T</p></td><td><p>F</p></td><td><p>T</p></td><td><p>F</p></td><td><p>T</p></td></tr><tr><td><td><p><b>Light</b></p></td><td><p>F</p></td><td><p>T</p></td><td><p>F</p></td><td><p>F</p></td><td><p>F</p></td><td><p>F</p></td><td><p>F</p></td><td><p>T</p></td></tr></tbody></table>