# ECET 105 ECET105 Week 2 Homework Assignment Solution

ECET 105 Week 2 Homework Assignment

**1. **What is the duty cycle for a square wave signal that is HIGH for 15 nsec and LOW for 30 nsec?

**2. **A pulse train is shown on the oscilloscope below. Determine the period of the pulse.

**3. **Determine the frequency for a pulse that occurs every 10 ms.

**4. **What is the base-10 value for the binary number 1101_{2}?

**5. **What are the respective weights of the 1s in Problem 4?

**6. **How many different values can be represented by 6 bits, 7 bits, 8 bits, and 10 bits?

**7. **What is the minimum number of bits required to represent each of the following decimal numbers: 10, 1,000, 100,000, and 1,000,000?

**8. **Convert the binary value, 1011010100101101, to a hexadecimal equivalent.

**9. **Convert the following decimal numbers to 8-bit binary values. For negative numbers, use the 2â€™ complement formulation.

**10. **Express each of the following signed numbers (2s complement format) in decimal: