user:rkapela:start
Table of Contents
Number Systems Conversions
A selection of different problems for your solving pleasure. Be sure to focus on the process, not just the answer.
Powers of 2
| Exponent | Value |
|---|---|
| 2e0 | 1 |
| 2e1 | 2 |
| 2e2 | 4 |
| 2e3 | 8 |
| 2e4 | 6 |
| 2e5 | 32 |
| 2e6 | 64 |
| 2e7 | 128 |
| 2e8 | 256 |
| 2e9 | 512 |
| 2e10 | 1024 |
| 2e11 | 2048 |
| 2e12 | 4096 |
| 2e13 | 8192 |
| 2e14 | 16384 |
| 2e15 | 32768 |
| 2e16 | 65536 |
| 2e17 | 131072 |
| 2e18 | 262144 |
| 2e19 | 524288 |
| 2e20 | 1048576 |
Powers of 8
| Exponent | Value |
|---|---|
| 8e0 | 1 |
| 8e1 | 8 |
| 8e2 | 64 |
| 8e3 | 512 |
| 8e4 | 4096 |
| 8e5 | 32768 |
| 8e6 | 262411 |
| 8e7 | 2097152 |
| 8e8 | 16777216 |
| 8e9 | 134217728 |
| 8e10 | 1073741824 |
| 8e11 | 8589934592 |
Powers of 16
| Exponent | Value |
|---|---|
| 16e0 | 1 |
| 16e1 | 16 |
| 16e2 | 256 |
| 16e3 | 4096 |
| 16e4 | 65536 |
| 16e5 | 1048576 |
| 16e6 | 16777216 |
| 16e7 | 268435456 |
Conversions between Powers of 2
| Binary Number | Octal Number | Hexadecimal Number |
|---|---|---|
| 0b0101011101 | 0o535 | 0x15D |
| 0b111010101100 | 0o07254 | 0xEAC |
| 0b11011110101011 | 0o33653 | 0x37AB |
| 0b11010001011111 | 0o32137 | 0x345FB |
| 0b101100101010001010 | 0o0545212 | 0x2CA8A |
| 0b11111110110111000110010101000011 | 0o37667062503 | 0xFEDC6543 |
Conversions involving Base 10
| Binary Number | Octal Number | Decimal Number | Hexadecimal Number |
|---|---|---|---|
| 0b11011011000 | 0o3330 | 1752 | 0x6D8 |
| 0b111111111 | 0o777 | 511 | 0x1FF |
| 0b1000000000 | 0o1000 | 512 | 0x200 |
| 0b111111111111 | 0o07777 | 4095 | 0xFFF |
| 0b1000000000000000000 | 0o01000000 | 262144 | 0x40000 |
| 0b110101101011101 | 0o065535 | 27485 | 0xF6B5D |
| 0b1111101000 | 0o1750 | 1000 | 0x3E8 |
| 0b1110000000000 | 0o16000 | 7168 | 0x1C00 |
| 0b11111111111111 | 0o37777 | 16383 | 0x3FFF |
| 0b1000000000000 | 0o10000 | 4096 | 0x1000 |
| 0b1111111111111111 | 0o177777 | 65535 | 0xFFFF |
| 0b101101001011010 | 0o55132 | 23130 | 0x5A5A |
Challenge
Not required, but a good test of concepts.
| Exponent | Value |
|---|---|
| 7e0 | 1 |
| 7e1 | 7 |
| 7e2 | 49 |
| 7e3 | 343 |
| 7e4 | 2401 |
| 7e5 | 16807 |
| Binary Number | Septal? Number | Octal Number | Decimal Number | Hexadecimal Number |
|---|---|---|---|---|
| 0b110011000111 | 1234 | 0o6307 | 3271 | 0xCC7 |
| 0b11101010110011 | 6144 | 0o35263 | 15027 | 0x3AB3 |
user/rkapela/start.txt · Last modified: 2010/09/09 14:27 by rkapela