QUESTION ONE

1. State the steps forconvertingan octalnumber into a hexadecimal number(1 mrks)
2. Determine the decimal equivalent of the binary number (1010.011)₂(2mrks)
3. Convert hexadecimal number , 4.BF85into equivalent octal number (1 mrks)
4. The 7's complement of a certain octal number is 5264. Determine the binary and hexadecimal equivalents of that octal number (1mrks)
5. Convert the decimal 74 into binary(2mrks)
6. How many bits would be required to encode decimal numbers 0 to 9999 in straight binary and BCD codes? What would be the BCD equivalent of decimal 27 in 16-bit representation?(1mrks)
7. State three applications of the Gray code (2mrks)
8. Find the 9's compliment of 28.96 (1mrks)
9. An amplifier outputs a voltage that is ten times the voltage on its input terminals. It has an input resistance of 10 kW. A sensor outputs a voltage proportional to temperature with a transfer function of 20mV/C. The sensor has an output resistance of 5 k-Ohms. If the temperature is 50⁰C, find the amplifier output (3mrks)
10. Give brief statements that would help one remember the truth table of AND, NAND, OR, NOR, EX-OR and EX-NOR logic gate functions, irrespective of the number of inputs used (3mrks)
11. Convert the Gray code 101101 into a binary number (3 mrks)
12. Convert 57.4801decto its binary equivalent to 14-bit accuracy (3mrks)
13. The executive board of a small company consists of a managing director A, chief executive B, Two non-executive directors C and D In order for a decision to be made A requires the support of one other board member, similarly B requires the support of two other board members. Construct a truth table for the decision-making strategies and indicate clearly where voting results in the decision going
14. against A (1 mrks)
15. ii. against B (1 mrks)