Question

1. Design a combinational circuit that produces the product of 2 two-bit numbers(XYZW=ABCD) Input Output decimal ABCD XYZW 0 0000 0000 =(00)(00)=0=0000 1 0001 0000=(00)(01)=0=0000 2 0010 0000 =(00)(10)=0=0000 ... 15 1111 1001=(11)(11)=(33)=9=1001 Hint. Find the simplified form of X, Y, Z, and W and then construct the circuit

          1. Design a combinational circuit that produces the product of 2 two-bit numbers(XYZW=AB*CD)
Input
Output
decimal ABCD
XYZW
0
0000
0000 =(00)*(00)=0=0000
1
0001
0000=(00)*(01)=0=0000
2
0010
0000 =(00)*(10)=0=0000
...
15
1111
1001=(11)*(11)=(3*3)=9=1001
Hint. Find the simplified form of X, Y, Z, and W and then construct the circuit

1. Design a combinational circuit that produces the product of 2 two-bit numbers(XYZW=AB*CD)
Input
Output
decimal ABCD
XYZW
0
0000
0000 =(00)*(00)=0=0000
1
0001
0000=(00)*(01)=0=0000
2
0010
0000 =(00)*(10)=0=0000
...
15
1111
1001=(11)*(11)=(3*3)=9=1001
Hint. Find the simplified form of X, Y, Z, and W and then construct the circuit

Added by Steven M.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Luke Humphrey

Step 1

Y = A * D Z = A * C W = B * D Now, let's construct the circuit. We will need four AND gates to calculate Y, Z, and W. For Y: - Connect input A to one input of the first AND gate. - Connect input D to the other input of the first AND gate. - The output of the Show more…

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Design a combinational circuit that produces the product of two two-bit numbers (XYZW = AB * CD). Input Output decimal ABCD XYZW 0 0000 0000 = 00 * 00 = 0 = 0000 1 0001 0000 = 00 * 01 = 0 = 0000 2 0010 0000 = 0 = 0100 = 0000 ... 15 1111 1001 = 11 * 11 = 3 * 3 = 9 = 1001 Hint: Find the simplified form of Y, Z, and W, and then construct the circuit.