03 Jun ECET 105 Week 5 Homework NEW
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)?
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