Design a circuit that accepts 4 bits (ABCD) that constitutes 2 2-bit numbers, N1 (AB) and...

Transcribed Image Text:

Design a circuit that accepts 4 bits (ABCD) that constitutes 2 2-bit numbers, N1 (AB) and N2 (CD) with a single output F. The circuit performs on the multiplication of N1 and N2 (N1 X N2) as follows: 1. If N1 X N2 = 0, then F = 0 2. if 0<(N1 X N2) < 4 then F=1 3. Else, if (N1 X N2) ≥ 4, F= d (don't care) a. Construct the truth table of the circuit b. Using K-map, please give the simplest SOP of F. c. Give the simplest POS of F. d. Implement F in part (b) using NAND and NOT. Design a circuit that accepts 4 bits (ABCD) that constitutes 2 2-bit numbers, N1 (AB) and N2 (CD) with a single output F. The circuit performs on the multiplication of N1 and N2 (N1 X N2) as follows: 1. If N1 X N2 = 0, then F = 0 2. if 0<(N1 X N2) < 4 then F=1 3. Else, if (N1 X N2) ≥ 4, F= d (don't care) a. Construct the truth table of the circuit b. Using K-map, please give the simplest SOP of F. c. Give the simplest POS of F. d. Implement F in part (b) using NAND and NOT.