Converting Decimal to Binary…and Binary to Decimal

Decimal to Binary 1. Subtract the largest decimal equivalent from the table below (“Decimal” line) from the original number. Put a “1” in the “Conversion” line of the box below. 2. Subtract next largest decimal equivalent. Put a “1” in the “Conversion” line of the box below. 3. Repeat Step 2 until you have no remainder. This is your binary number.

Binary | 27 | 26 | 25 | 24 | 23 | 22 | 21 | 20 | Decimal | 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 | Conversion | | | | | | | | |

EXAMPLE:
Decimal number = 219 Decimal No. | Binary No. | Remainder | 219 - | 128 = | 91 | 91 - | 64 = | 27 | 27 - | 16 = | 11 | 11 - | 8 = | 3 | 3 - | 2 = | 1 | 1 - | 1 = | 0 |

Binary | 27 | 26 | 25 | 24 | 23 | 22 | 21 | 20 | Decimal | 128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 | Conversion | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 |

Binary number = 11011011

Hexadecimal to Binary
The easiest way to convert binary to hex or hex to binary is to use the following table. Decimal | Hex | Binary | 0 | 0 | 0000 | 1 | 1 | 0001 | 2 | 2 | 0010 | 3 | 3 | 0011 | 4 | 4 | 0100 | 5 | 5 | 0101 | 6 | 6 | 0110 | 7 | 7 | 0111 | 8 | 8 | 1000 | 9 | 9 | 1001 | 10 | A | 1010 | 11 | B | 1011 | 12 | C | 1100 | 13 | D | 1101 | 14 | E | 1110 | 15 | F | 1111 |

EXAMPLE (Hex to Binary):
Convert 48AF to binary
Use conversion table Hex: 4 8 A F Binary: 0100 1000 1010 1111

EXAMPLE (Hex to Binary):
Convert 0 1 0 0 1 1 0 0 1 0 1 0 to hex
HINT: Separate binary numbers into groups of four: 0100 1100 1010
Use conversion table Binary: 0100 1100 1010 Hex: 4 C