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4. Consider the XOR gate in its basic SOP (AND - OR) gate implementation. Fix one input to 1 and using contraction, draw the simplified diagram. Repeat with one input set to 0. Write the simplified function performed by the XOR in both states.

4. Consider the XOR gate in its basic SOP (AND - OR) gate implementation. Fix one input to 1 and using contraction, draw the simplified diagram. Repeat with one input set to 0. Write the simplified function performed by the XOR in both states.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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4. Consider the XOR gate in its basic SOP (AND- OR) gate implementation. Fix one input to 1 and using contraction, draw the simplified diagram. Repeat with one input set to 0. Write the simplified function performed by the XOR in both states. 5. Write the truth table and optimize the architecture using K-maps or Boolean algebra of a circuit which produces the sum of two binary numbers and carry input bit. There must be TWO outputs to this circuit- Final Carry out bit and Sum bit.
Transcribed Image Text:4. Consider the XOR gate in its basic SOP (AND- OR) gate implementation. Fix one input to 1 and using contraction, draw the simplified diagram. Repeat with one input set to 0. Write the simplified function performed by the XOR in both states. 5. Write the truth table and optimize the architecture using K-maps or Boolean algebra of a circuit which produces the sum of two binary numbers and carry input bit. There must be TWO outputs to this circuit- Final Carry out bit and Sum bit.
6. Compare your designs above to the design below which provides the additional functionality of addition or subtraction of 4 bit binary numbers. S= 0 selects the addition function; S=1, the subtraction function. B3 A3 B2 A2 B1 A1 Bo Ao S. C3 C2 Co FA FA FA FA C4 S3 S2 So Copyright ©2016 Pearson Education, All Rights Reserved Trace the outputs for the following inputs: a) АЗ-А0 1001 + В3-во 0001 (Set Subtraction Bit to 0) B3 – B0 after the XOR gate: (Be sure to keep the right order B3 – BO) SO= C1= Note CO = S=0 S1= C2= S2= C3= S3= C4= b) A3-A0 1001 B3-B0 0001 (Set Subtraction Bit to 1) B3 – B0 after the XOR gate: (Be sure to keep the right order B3 – BO) SO= C1= Note CO = S =1 S1= C2= S2= C3= S3= C4=
Transcribed Image Text:6. Compare your designs above to the design below which provides the additional functionality of addition or subtraction of 4 bit binary numbers. S= 0 selects the addition function; S=1, the subtraction function. B3 A3 B2 A2 B1 A1 Bo Ao S. C3 C2 Co FA FA FA FA C4 S3 S2 So Copyright ©2016 Pearson Education, All Rights Reserved Trace the outputs for the following inputs: a) АЗ-А0 1001 + В3-во 0001 (Set Subtraction Bit to 0) B3 – B0 after the XOR gate: (Be sure to keep the right order B3 – BO) SO= C1= Note CO = S=0 S1= C2= S2= C3= S3= C4= b) A3-A0 1001 B3-B0 0001 (Set Subtraction Bit to 1) B3 – B0 after the XOR gate: (Be sure to keep the right order B3 – BO) SO= C1= Note CO = S =1 S1= C2= S2= C3= S3= C4=
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