# Number Representation

### Binary Numbers

- Digits: 0 - 1
- How many numbers can be represented with
one digit? 2
- Maximum value represented with
one digit? 1
- What's the next number? 10
_{2}
( = 2_{10})
- Maximum value represented with
two digits? 11
_{2}
( = 3_{10})
- What's the next number? 100
_{2}
( = 4_{10})

### What Does the Binary Number 00101011 Mean?

128's | 64's |
32's | 16's |
8's | 4's |
2's | 1's |

0 | 0 | 1 | 0 |
1 | 0 | 1 | 1 |

| | | |

0 * 128 | 0 * 64 | 1 * 32 | 0 * 16 |
1 * 8 | 0 * 4 | 1 * 2 | 1 * 1 |
( = 43_{10}) |

| | | |

Alyce Brady, Kalamazoo College