Base 10 -> Base 2
(51)10 = (?)2
| Integer part/2 | Quotient | Remainder |
| 51/2 | 25 | 1 (LSB) |
| 25/2 | 12 | 1 |
| 12/2 | 6 | 0 |
| 6/2 | 3 | 0 |
| 3/2 | 1 | 1 |
| 1/2 | 0 | 1 (MSB) |
Answer: (110011)2
Decimal to Octal Conversion
Base 10 -> Base 8
(151)10 = (?)8
| Integer part/8 | Quotient | Remainder |
| 151/8 | 18 | 7 (LSB) |
| 18/8 | 2 | 2 |
| 2/8 | 0 | 2 (MSB) |
Answer: (227)8
Decimal to Hexadecimal Conversion
Base 10 -> Base 16
(1938)10 = (?)16
| Integer part/16 | Quotient | Remainder |
| 1938/16 | 121 | 2 (LSB) |
| 121/16 | 7 | 9 |
| 7/16 | 0 | 7 (MSB) |
Answer: (792)16
| To convert a decimal integer part to any base-r system, division is done by r. |
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