Computer Science | Kent State University



Digital Design /HW#1

Student Name: Student ID:

Note: Please show your work in the back of paper

1. F= A and B or C and A =?? , if A=not B, B=not not C, C= 1 nand 0 (

2. F= not A or not A and not B or not C= ??, if C= A or B, A= not( 1 and B), B= 1 xor 0 (

3. Determine the 1’s and 2’s complement of each binary number

a. 10010001=

4. Determine the number and the 1’s complement of each following 2’s complement

a. 01001110 =

5. Determine the decimal value of the following signed binary numbers expressed in

i. Sign bit 100110101 (

ii. 1’s complement 00010111(

iii. 2’s complement 01010110 (

6. Express the decimal number -46 as an 8-bit binary number in

a. Sign bit (

b. 1’s complement (

c. 2’s complement (

7. Perform the following operations of the signed numbers

a. 10001000 – 11100010 =

b. Multiply 01111111 by 00000101 =

c. Divide 00110000 by 00001100 =

8. Convert the binary numbers to decimal

a. 1111111.11111 (

9. Convert each decimal fraction to binary using repeated multiplication by 2

a. 0.9028 (

10. Convert the hexadecimal number to decimal B2F8 =

11. Convert the decimal number to hexadecimal 2591 =

12. Add the hexadecimal number DF + AC =

13. Subtract the hexadecimal number 94 – 5C =

14. Convert the octal number to decimal 2374 (

15. Convert the decimal number to octal 359 (

16. Convert the binary number to octal 11010000100 (

17. Convert BCD number to decimal 1001010001110000 (

18. Convert decimal number to BCD 2469 (

19. Convert binary number 11000110 to Gray code (

20. Convert Gray code 10101111 to binary (

21. Add BCD numbers 01100111 + 01010011(

22. An inverter

a. Perform the not operation b- changes a H to a L

c- Change a L to a H d- does all of the above

23. The time interval on the leading edge of a pulse between 10% and 90% of the amplitude is the ……………

24. A pulse in a certain waveform occurs every 10ms, the frequency is …………..

25. A quantity having continuous value is

a. a digital quantity b- an analog quantity

c- a binary quantity d- a natural quantity

26. The term bit means

a. A small amount of data b- a 1 or a 0

c- Binary digit d- both answer B and C

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