{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

HW6_Solutions

# HW6_Solutions - ECE 2030 E,F Homework#6 Solutions(1...

This preview shows pages 1–2. Sign up to view the full content.

ECE 2030 E,F Homework #6 - Solutions (1) Textbook #4-1 – Design a 2-level (SOP), 2-digit binary adder with carry-in and carry-out, according to the following formulas. Si = Ai’Bi’Ci + Ai’BiCi’ + AiBi’Ci’ + AiBiCi C(i+1) = AiBi + AiCi + BiCi Solution: First notice that the inputs to the circuit are A0, B0, A1, B1, C0 and the outputs are S0, S1, C2. So, we must find S0, S1, and C2 as SOP functions of the input variables. S0 = A0’B0’C0 + A0’B0C0’ + A0B0’C0’ + A0B0C0 (a) S1 = A1’B1’C1 + A1’B1C1’ + A1B1’C1’ + A1B1C1 (b) C1 = A0B0 + A0C0 + B0C0 (c) C1’ = (A0B0 + A0C0 + B0C0)’ = (A0’+B0’)(A0’+C0’) (B0’+C0’) = A0’B0’ + B0’C0’ + A0’C0’ (d) Substitute (c) and (d) into (b) to get: S1 = A1’B1’ (A0B0 + A0C0 + B0C0) + A1’B1 (A0’B0’ + B0’C0’ + A0’C0’) + A1B1’ (A0’B0’ + B0’C0’ + A0’C0’) + A1B1 (A0B0 + A0C0 + B0C0) (e) = A0 B0A1’B1’ + C0A0A1’B1’ + C0B0A1’B1’ + A0’ B0’A1’B1 + C0’B0’A1’B1 + C0’A0’A1’B1’ + A0’B0’ A1B1’ + C0’B0’A1B1’ + C0’A0’A1B1’ + A0B0A1B1 + C0A0A1B1 + C0B0A1B1 (f) C2 = A1B1 + A1C1 + B1C1 (g) Substitute (c) into (g) to get:

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 5

HW6_Solutions - ECE 2030 E,F Homework#6 Solutions(1...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online