=====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  |