Base-10

Example #1 - Decimal (Base-10) numbers:

  • The familiar 10-digit (0, 1, 2, . . . 9) number system is used everywhere everyday.
  • Base-10 numbers or decimal numbers are expressed in positional notation.
  • In Decimal Notation, digit values (column values) represent powers of 10.
  • Any one of the ten digits, 0, 1, 2, . . . 9, may occupy any position indicating how many of each digit value are being represented.
  • In a 4 digit pattern such as the number 2706 the column positions have these values:


Position Value:

103

102

101

100

Digit Value:

1000s

100s

10s

1s

Decimal Number:

2

7

0

6

  • So, the parsed unsigned decimal number 2706 = (2x1000) + (7x100) + (0x10) + (6x1).
  • In other words there are "two thousand, seven hundred, zero ten and six ones" represented.