## 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 