Instructions Study the truth table below. • Note how each bit of the result (P) corresponds to the binary product of (A) and (B). Truth Table A1 AO B1 BO P3 P2 P1 PO Decimal (A \times B) 0 0000 0 0 0 0×0=0 0 0 0 1 0 0 0 0 0x1=0 0 0 1 0 0 0 0 0 0 x 2 = 0 0 0 1 1 0 0 0 0 0x3=0 0 1 0 о 0 0 0 0 1x0=0 0 1 0 1 0 0 0 1 1x1=1 0 1 1 0 0 0 1 0 1x2=2 0 1 1 1 0 0 1 1 1x3=3 1 0 0 0 0 0 0 0 2x0=0 1 0 0 1 0 0 1 0 2x1=2 1 0 1 0 0 1 0 0 2x2=4 1 0 1 1 0 1 1 0 2x3=6 1 1. 0 0 0 0 0 0 3x0=0 1 1 0 1 0 0 1 1 3x1 3 1 1 1 0 0 1 1 0 3x2=6 1 1 1 1 1 0 0 1 3x3=9 Using the Digital simulator, Design a 2-bit multiplier circuit. (We discussed installation during lecture.) • Step 1: Derive the Boolean expressions for the PO, P1, P2, and P3 outputs using k-maps. Step 2: Implement the cicuit in logic sumulator and verify its operation. 2. 4-Bit Full Adder Implementation (20 Points): Using the Digital simulator, implement a 4-bit full adder. • Step 1: Create the truth table for a full adder. • Step 2: Derive the Boolean expressions for the sum and carry outputs. • Step 3: Implement a single full adder in the simulator and verify its operation. Step 4: Chain 4 full adders to create a 4-bit adder. • Step 5: Test the 4-bit adder with at least three input pairs and include screenshots of each step.

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter22: Sequence Control
Section: Chapter Questions
Problem 6SQ: Draw a symbol for a solid-state logic element AND.
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Instructions
Study the truth table below.
• Note how each bit of the result (P) corresponds to the binary product of (A) and (B).
Truth Table
A1 AO
B1
BO
P3
P2
P1
PO
Decimal (A \times B)
0
0000
0
0
0
0×0=0
0
0
0
1
0
0
0
0
0x1=0
0
0
1
0
0
0
0
0
0 x 2 = 0
0
0
1
1
0
0
0
0
0x3=0
0
1
0
о
0
0
0
0
1x0=0
0
1
0
1
0
0
0
1
1x1=1
0
1
1
0
0
0
1
0
1x2=2
0
1
1
1
0
0
1
1
1x3=3
1
0
0
0
0
0
0
0
2x0=0
1
0
0
1
0
0
1
0
2x1=2
1
0
1
0
0
1
0
0
2x2=4
1
0
1
1
0
1
1
0
2x3=6
1
1.
0
0
0
0
0
0
3x0=0
1
1
0
1
0
0
1
1
3x1 3
1
1
1
0
0
1
1
0
3x2=6
1
1
1
1
1
0
0
1
3x3=9
Using the Digital simulator, Design a 2-bit multiplier circuit. (We discussed installation during lecture.)
• Step 1: Derive the Boolean expressions for the PO, P1, P2, and P3 outputs using k-maps.
Step 2: Implement the cicuit in logic sumulator and verify its operation.
2. 4-Bit Full Adder Implementation (20 Points):
Using the Digital simulator, implement a 4-bit full adder.
• Step 1: Create the truth table for a full adder.
• Step 2: Derive the Boolean expressions for the sum and carry outputs.
• Step 3: Implement a single full adder in the simulator and verify its operation.
Step 4: Chain 4 full adders to create a 4-bit adder.
• Step 5: Test the 4-bit adder with at least three input pairs and include screenshots of each step.
Transcribed Image Text:Instructions Study the truth table below. • Note how each bit of the result (P) corresponds to the binary product of (A) and (B). Truth Table A1 AO B1 BO P3 P2 P1 PO Decimal (A \times B) 0 0000 0 0 0 0×0=0 0 0 0 1 0 0 0 0 0x1=0 0 0 1 0 0 0 0 0 0 x 2 = 0 0 0 1 1 0 0 0 0 0x3=0 0 1 0 о 0 0 0 0 1x0=0 0 1 0 1 0 0 0 1 1x1=1 0 1 1 0 0 0 1 0 1x2=2 0 1 1 1 0 0 1 1 1x3=3 1 0 0 0 0 0 0 0 2x0=0 1 0 0 1 0 0 1 0 2x1=2 1 0 1 0 0 1 0 0 2x2=4 1 0 1 1 0 1 1 0 2x3=6 1 1. 0 0 0 0 0 0 3x0=0 1 1 0 1 0 0 1 1 3x1 3 1 1 1 0 0 1 1 0 3x2=6 1 1 1 1 1 0 0 1 3x3=9 Using the Digital simulator, Design a 2-bit multiplier circuit. (We discussed installation during lecture.) • Step 1: Derive the Boolean expressions for the PO, P1, P2, and P3 outputs using k-maps. Step 2: Implement the cicuit in logic sumulator and verify its operation. 2. 4-Bit Full Adder Implementation (20 Points): Using the Digital simulator, implement a 4-bit full adder. • Step 1: Create the truth table for a full adder. • Step 2: Derive the Boolean expressions for the sum and carry outputs. • Step 3: Implement a single full adder in the simulator and verify its operation. Step 4: Chain 4 full adders to create a 4-bit adder. • Step 5: Test the 4-bit adder with at least three input pairs and include screenshots of each step.
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