HW PG 162-165
Unit 4
Digital Fundamentals
2. Write an expression that is a 1 only if all of its variables ( A , B , C , D , and E ) are 1s.
A’+B +C’+D+E’= 1
4. Evaluate the following operations:
( a) 0 + 0 + 1 = 1
( b) 1 + 1 + 1 = 1 ( c) 1 . 0 . 0 = 0
( d) 1 . 1 . 1 = 1
( e) 1 . 0 . 1 = 0
( f) 1 . 1 + 0 . 1 . 1= 1

6. Find the value of X for all possible values of the variables.
( a) X = ( A + B) C + B = B(A+C)
( b) X = ( A’ + B’) C = AC+BC
( c) X = AB’C + AB = (A+B’)(C+B)
( d) X = ( A + B)( A’ + B) =B(A+A’)
( e) X = ( A + BC)( B’ + C’) =BCB’+BCC’+AB’+AC’

10. A network of cascaded inverters is shown in Figure 3– 86 . If a HIGH is applied to point A, deter-mine the logic levels at points B through F.

A=1-HIGH, B=0-LOW, C= 1- HIGH,
D=0-LOW,
E=1-HIGH, F=0-LOW

14. Determine the output, X , for a 2- input AND gate with the input waveforms shown in Figure 3– 88 . Show the proper relationship of output to inputs with a timing diagram.

A-1010101
B-1010101
X-10101010

24. Determine the gate output for the input waveforms in Figure 3– 93 and draw the timing diagram.

A-1111101111101111110111111
B-0011111100000001111111000
C-1001001001000100100010010
X- 111011011111111011101111

28. Determine the output waveform in Figure 3– 96 and draw the timing diagram.

A-111111000011110000
B-000111100001111000
C-010010001000100010
X-000000010100000101