Numbering Systems: Decimal and Binary

Front

Humans commonly use the decimal numbering system.

Back

The decimal numbering system is base 10.

Front

Decimal numbers range from 0 to 9.

Back

In base 10, numbers range from 0 to 9.

Front

Computers use the binary numbering system.

Back

The binary numbering system is base 2.

Front

Binary system uses only two digits.

Back

In base 2, only the digits 0 and 1 are used.

Front

Place values in base 10.

Back

1's place (10^0), 10's place (10^1), 100's place (10^2).

Front

Example of number 123 in decimal.

Back

Consists of 1 hundred, 2 tens, and 3 ones.

Front

Breaking down number 123.

Back

1 \times 100 + 2 \times 10 + 3 \times 1.

Front

Place values in base 2.

Back

1's place (2^0), 2's place (2^1), 4's place (2^2).

Front

Higher place values in binary.

Back

8's place (2^3), 16's place (2^4), 32's place (2^5).

Front

Largest place value shown in binary.

Back

128's place (2^7).