Question

Please draw the following 5-bit even parity checker and 5-bit odd parity checker's K-map.

Figure 6.20.1: Logic diagram of even parity checker

Figure 6.20.2: Logic diagram of odd parity checker

Answer 1

diagram 1 is checking for the number of 0 to be even:

its an odd parity checker for number of 1's

k-map

Мар DE DE DE DĒ A.B.C 0 1 0 1 A.B.C 0 0 1 0 AB.C 0 1 0 1 ĀB.C 1 0 1 0 AB.C 1 0 1 0 A.B.C 0 1 0 1 A.B.C 1 0 1 0 A.B.C 0 1 0 1 Map Layout DE DE DE DĒ A.B.C 0 1 3 2 A.B.C 4 5 7 6 A.B.C 12 13 15 14 ABC 8 9 11 10 A.B.C 16 17 19 18 A.B.C 20 21 23 22 A.B.C 28 29 31 30 A.B.T 24 25 27 26

Groups (1) A.B.C.D.E (2) A.B.C.DE (1) AB.C.DE (8) A.B.C.DE (11) A.B.C.DE (13) A.B.C.D.E (14) A.B.C.DE (16) A.B.C.DE (19) A.B.C.D.E (21) A.B.C.DE (22) A.B.C.D.E (25) AB.C.DE (26) AB.C.DE (28) A.B.C.DE (31) A.B.C.DE

Truth Table O 1 ABCDEY 0 0 0 0 0 0 1 000011 |2|0 | 0 | 0 | 1 |0 | 1 3000110 4 0 0 1 0 0 0 5|0|0|1|0|1 6 001100 70|01|11 S010001 9|0|1|0|0| 1 10 0101010 11010111 120 1 |1 0 0 0 13|0|1|1|0|1 140 | 11 | 10 | 1 150|11|1|10 1100001 17| 1 0001 18 1 0 0 1 0 0 191 0011 20 101 000 21 | 10 | 10 | 1 22 1|0|1|1|0 23 101|1|1 24 1 1 0 0 0 0 25 1 1 0 0 1 26| 1 | 10 | 10 27| 1 | 10 | 11 0 1 28 1 1 1 0 0 1 0 29 1 1 301 11 31 1|1|11|11

question 2.

the k-map and the truth table for both the diagrams are the same :

please verify your designs since both give the same output