Question

Design a full adder circuit using ONLY 2x4 Decoders and NOR gates. The truth table of the full adder is given below. You can use inverters at carry-in and carry- out if needed. Inputs Outputs A B C_{in} Sum Carry 0 0 0 0 0 0 0 1 1 0 0 1 0 1 0 0 1 1 0 1 1 0 0 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1

          Design a full adder circuit using ONLY 2x4 Decoders and NOR gates. The truth
table of the full adder is given below. You can use inverters at carry-in and carry-
out if needed.
Inputs
Outputs
A
B
C_{in}
Sum
Carry
0
0
0
0
0
0
0
1
1
0
0
1
0
1
0
0
1
1
0
1
1
0
0
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1

Design a full adder circuit using ONLY 2x4 Decoders and NOR gates. The truth
table of the full adder is given below. You can use inverters at carry-in and carry-
out if needed.
Inputs
Outputs
A
B
Cin
Sum
Carry
0
0
0
0
0
0
0
1
1
0
0
1
0
1
0
0
1
1
0
1
1
0
0
1
0
1
0
1
1
1
0
0
1
1
1
1
1
1

Added by Julie C.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Hannah Wilds

Step 1

The outputs are activated based on the input combination. We can use the following truth table to design the decoder: A B | Y0 Y1 Y2 Y3 ----------------- 0 0 | 1 0 0 0 0 1 | 0 1 0 0 1 0 | 0 0 1 0 1 1 | 0 0 0 1 To implement this truth table using NOR gates, we Show more…

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Design a full adder circuit using ONLY 2x4 Decoders and NOR gates. The truth table of the full adder is given below. You can use inverters at carry-in and carry-out if needed. Inputs Outputs Cin Sum Carry ----------------------------------- A B Cin Sum Carry 0 0 0 0 0 0 1 0 1 0 1 0 0 1 0 1 1 0 0 1 0 0 1 1 0 0 1 1 0 1 1 0 1 0 1 1 1 1 1 1