ECET105 Homework Assignment #5 Complete Solution

Question: #7536

ECET105 – Digital Fundamentals
Homework Assignment #5
Name ____________________________
1. Determine the decimal value of each of the following unsigned binary numbers:
a. 10011001

b. 01110100

c. 10111111

2. Determine the decimal value of each of the following signed binary numbers displayed in the 2’s complement form:
a. 10011001

b. 01110100

c. 10111111

3. Determine the outputs (Cout, Sout) of a full-adder for each of the following inputs:
a. A = 1, B = 0, Cin = 0

b. A = 0, B = 1, Cin = 1

c. A = 0, B = 0, Cin = 1

d. A = 1, B = 1, Cin = 1

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:
8.1.   What is the frequency of a periodic waveform with a period of 1.0 µsec?
a. 100 Hz       b. 10 kHz       c. 100 kHz       d. 1 MHz
8.2.   How many bits are required to represent decimal numbers from -256 to +255?
a. 6           b. 7           c. 8           d. 9
8.3.   What is the largest positive number that can be represented by 10 signed bits?
a. 511           b. 512           c. 1024           d. 2047

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)?

Solution: #7545

ECET105 Homework Assignment #5 Complete Solution

1. Determine the decimal value of each ...