Repeat 12.23 using NOR gates instead of NAND gates.

Chapter 12, Problem 12.24

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QUESTION:

Repeat Problem 12.23 using NOR gates instead of NAND gates.

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QUESTION:

Repeat Problem 12.23 using NOR gates instead of NAND gates.

ANSWER:

Step 1 of 9

Consider the truth table to design decade counter (BCD) using the excess 3 code for decimal digits.

As shown in table 1, the excess 3 BCD system is created by adding 0011 to each binary value. For example, in excess-3 value, the decimal number 7, which is coded as 0111 in BCD, is coded as 0111+0011=1010.

Decimal Number

BCD number

Excess-3 Number

Excess-3 Decimal Number

A

B

C

D

A +

B +

C +

D +

0

0

0

0

0

0

0

1

1

3

1

0

0

0

1

0

1

0

0

4

2

0

0

1

0

0

1

0

1

5

3

0

0

1

1

0

1

1

0

6

4

0

1

0

0

0

1

1

1

7

5

0

1

0

1

1

0

0

0

8

6

0

1

1

0

1

0

0

1

9

7

0

1

1

1

1

0

1

0

10

8

1

0

0

0

1

0

1

1

11

9

1

0

0

1

1

1

0

0

12

10

1

0

1

0

1

1

0

1

13

11

1

0

1

1

1

1

1

0

14

12

1

1

0

0

1

1

1

1

15

13

1

1

0

1

X

X

X

X

X

14

1

1

1

0

X

X

X

X

X

15

1

1

1

1

X

X

X

X

X

Table 1: Excess 3 code conversion table

Here, the decade counter decimal digit is 1001 have 1100.

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