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Decimal to Binary Numbers

Decimal to Binary Numbers. Mr. Brockelman Logic Design 101. Representing Decimal Numbers in Binary. Decimal numbers have TEN unique values (0 thru 9) Binary numbers have TWO unique values (0 and 1). Decimal to Binary Representation.

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Decimal to Binary Numbers

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  1. Decimal to Binary Numbers Mr. Brockelman Logic Design 101

  2. Representing Decimal Numbers in Binary • Decimal numbers have TEN unique values (0 thru 9) • Binary numbers have TWO unique values (0 and 1)

  3. Decimal to Binary Representation • Each additional column in a decimal number is a multiple of 10. • Each additional column in a binary number is a multiple of 2. • For this example we only need one column for decimal but 4 columns for an equal binary number. Column Value

  4. Decimal to Binary Representation • Binary numbers can only have a 0 (zero) or a 1 (one) as a column value • Each binary column equates to their displayed value (8, 4, 2, 1) • The 1’s, 2’s,4’s, and 8’s binary columns are added together to equate to a decimal number. Binary Zero (0+0+0+0)

  5. Decimal to Binary Representation • Binary numbers can only have a 0 (zero) or a 1 (one) as a column value • Each binary column equates to their displayed value (8, 4, 2, 1) • The 1’s, 2’s,4’s, and 8’s binary columns are added together to equate to a decimal number. Binary One (0+0+0+1)

  6. Decimal to Binary Representation • Binary numbers can only have a 0 (zero) or a 1 (one) as a column value • Each binary column equates to their displayed value (8, 4, 2, 1) • The 1’s, 2’s,4’s, and 8’s binary columns are added together to equate to a decimal number. Binary Two (0+0+2+0)

  7. Decimal to Binary Representation • Binary numbers can only have a 0 (zero) or a 1 (one) as a column value • Each binary column equates to their displayed value (8, 4, 2, 1) • The 1’s, 2’s,4’s, and 8’s binary columns are added together to equate to a decimal number. Binary Three (0+0+2+1)

  8. Decimal to Binary Representation • Binary numbers can only have a 0 (zero) or a 1 (one) as a column value • Each binary column equates to their displayed value (8, 4, 2, 1) • The 1’s, 2’s,4’s, and 8’s binary columns are added together to equate to a decimal number. Binary Four (0+4+0+0)

  9. Decimal to Binary Representation • Binary numbers can only have a 0 (zero) or a 1 (one) as a column value • Each binary column equates to their displayed value (8, 4, 2, 1) • The 1’s, 2’s,4’s, and 8’s binary columns are added together to equate to a decimal number. Binary Five (0+4+0+1)

  10. Decimal to Binary Representation • Binary numbers can only have a 0 (zero) or a 1 (one) as a column value • Each binary column equates to their displayed value (8, 4, 2, 1) • The 1’s, 2’s,4’s, and 8’s binary columns are added together to equate to a decimal number. Binary Six (0+4+2+0)

  11. Decimal to Binary Representation • Binary numbers can only have a 0 (zero) or a 1 (one) as a column value • Each binary column equates to their displayed value (8, 4, 2, 1) • The 1’s, 2’s,4’s, and 8’s binary columns are added together to equate to a decimal number. Binary Seven (0+4+2+1)

  12. Decimal to Binary Representation • Binary numbers can only have a 0 (zero) or a 1 (one) as a column value • Each binary column equates to their displayed value (8, 4, 2, 1) • The 1’s, 2’s,4’s, and 8’s binary columns are added together to equate to a decimal number. Binary Eight (8+0+0+0)

  13. Decimal to Binary Representation • Binary numbers can only have a 0 (zero) or a 1 (one) as a column value • Each binary column equates to their displayed value (8, 4, 2, 1) • The 1’s, 2’s,4’s, and 8’s binary columns are added together to equate to a decimal number. Binary Nine (8+0+0+1)

  14. Decimal to Binary Representation • Binary numbers can only have a 0 (zero) or a 1 (one) as a column value • Each binary column equates to their displayed value (8, 4, 2, 1) • For this example we need two columns for decimal and 4 columns for an equal binary number. Binary Ten (8+0+2+0)

  15. Decimal to Binary Representation • Binary numbers can only have a 0 (zero) or a 1 (one) as a column value • Each binary column equates to their displayed value (8, 4, 2, 1) • For this example we need two columns for decimal and 4 columns for an equal binary number. Binary Eleven (8+0+2+1)

  16. Decimal to Binary Representation • Binary numbers can only have a 0 (zero) or a 1 (one) as a column value • Each binary column equates to their displayed value (8, 4, 2, 1) • For this example we need two columns for decimal and 4 columns for an equal binary number. Binary Twelve (8+4+0+0)

  17. Decimal to Binary Representation • Binary numbers can only have a 0 (zero) or a 1 (one) as a column value • Each binary column equates to their displayed value (8, 4, 2, 1) • For this example we need two columns for decimal and 4 columns for an equal binary number. Binary Thirteen (8+4+0+1)

  18. Decimal to Binary Representation • Binary numbers can only have a 0 (zero) or a 1 (one) as a column value • Each binary column equates to their displayed value (8, 4, 2, 1) • For this example we need two columns for decimal and 4 columns for an equal binary number. Binary Fourteen (8+4+2+0)

  19. Decimal to Binary Representation • Binary numbers can only have a 0 (zero) or a 1 (one) as a column value • Each binary column equates to their displayed value (8, 4, 2, 1) • For this example we need two columns for decimal and 4 columns for an equal binary number. Binary Fifteen (8+0+2+0)

  20. Decimal to Binary Numbers Mr. Brockelman Logic Design 101

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