Binary Number System Assignment Help

Assignment Help: >> Karnaugh Map and Combinatorial Logic Design - Binary Number System

Binary Number System:

As stated before, binary numbers are depicted using 0s and 1s. Any 4-digit binary number ABCD may be converted into its decimal equivalent as follows:

A × 23 + B × 22 + C × 21 + D × 20 where Boolean variables A, B, C and D can take values either 0 or 1. For example, 1100 and its decimal equivalent value is 1 × 23 + 1 × 22 + 0 × 21 + 0 × 20 = 12. For reference, first 16 binary numbers and their decimal equivalents are illustrated in Table

Table: First 16 Binary Numbers and their Decimal Values

Binary Numbers

Decimal Values

0     0      0      0

0

0     0      0      1

1

0     0      1      0

2

0     0      1      1

3

0     1      0      0

4

0     1      0      1

5

0     1      1      0

6

0     1      1      1

7

1     0      0      0

8

1     0      0      1

9

1     0      1      0

10

1     0      1      1

11

1     1      0      0

12

1     1      0      1

13

1     1      1      0

14

1     1      1      1

15

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