# Lab46 Wiki

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## Number Systems Conversions

A selection of different problems for your solving pleasure. Be sure to focus on the process, not just the answer.

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

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

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