This document provides a summary of the weekly homework for ECET 105 at Devry University. It includes 10 questions covering topics like binary number conversion, adder circuits, timing diagrams, bit representation of numbers, and binary addition and subtraction. Students are asked to determine decimal values of binary numbers, identify outputs of full adders, derive Boolean equations, complete timing diagrams, and perform binary arithmetic operations using 4-bit adders/subtractors. The document provides a link to an online tutorial for help with the homework questions.

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1. Determine the decimal value of each of the following unsigned binary numbers:
2. Determine the decimal value of each of the following signed binary numbers
displayed in the 2’s complement form:
3. Determine the outputs (Cout, Sout) of a full-adder for each of the following inputs:
4. The circuit below is an attempt to build a half-adder. Will the Cout and Sout
function properly? Demonstrate your rationale.
5. Determine the outputs for the circuit shown below. Assume that C0 = 0 for all
cases.
6. Derive the Boolean equation for A = B, when A and B are 4-bit numbers.
7. Complete the timing diagram below for a 2-bit adder. (10 points)
8. Answer the following:
What is the frequency of a periodic waveform with a period of 1.0 µsec?
How many bits are required to represent decimal numbers from -256 to +255?
What is the largest positive number that can be represented by 10 signed bits?
9. The full-adder shown below is tested under all input conditions as shown. Is the
circuit operating correctly? If not, what is the most likely fault?
10. Using a 4-bit adder/subtractor, carry out the binary operations for 9 – 3 and 3 –
9. What can you conclude about the answers and the carry out bit (C4)?