=====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  |  16  |
|  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  |  262144  |
|  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  |
|  0101011101  |  0535  |  15D  |
|  000111010101100  |  07254  |  0EAC  |
|  11011110101011  |  33653  |  37AB  |
|  00110100010111111011  |  0642773  |  345FB  |
|  000101100101010001010  |  0545212  |  02CA8A  |
|  1110110111000110010101000011  |  1667062503  |  EDC6543  |

=====Conversions involving Base 10=====

^  Binary Number  ^  Octal Number  ^  Decimal Number  ^  Hexadecimal Number  |
|  11011011000  |  3330  |  3504  |  6D8  |
|  111111111  |  777  |  4095  |  1FF  |
|  1000000000  |  1  |  2048  |  200  |
|  000111111111111  |  07777  |  4095  |  0FFF  |
|  0001000000  |  01000000  |  64  |  1024  |
|  000110101101011101  |  065535  |  27485  |  06B5D  |
|  001111101000  |  1750  |  1000  |  3E8  |
|  1110000000000  |  16000  |  7168  |  1C00  |
|  011111111111111   |  37777  |  16383  |  3FFF  |
|  0001000000000000  |  001000  |  8  |  1000  |
|  1111111111111111  |  177777  |  65535  |  FFFF  |
|  0101101001011010  |  055132  |  23130  |  5A5A  |

=====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  |
|  ?  |  1234  |  ?  |  ?  |  ?  |
|  ?  |  6144  |  ?  |  ?  |  ?  |