Mechanics' Floating Point

  001 010 011 100 101 110 111
0000 1/16 1/8 1/4 1/2 1 2 4
0001 17/256 17/128 17/64 17/32 11/16 21/8 41/4
0010 9/128 9/64 9/32 9/16 11/8 21/4 41/2
0011 19/256 19/128 19/64 19/32 13/16 23/8 43/4
0100 5/64 5/32 5/16 5/8 11/4 21/2 5
0101 21/256 21/128 21/64 21/32 15/16 25/8 51/4
0110 11/128 11/64 11/32 11/16 13/8 23/4 51/2
0111 23/256 23/128 23/64 23/32 17/16 27/8 53/4
1000 3/32 3/16 3/8 3/4 11/2 3 6
1001 25/256 25/128 25/64 25/32 19/16 31/8 61/4
1010 13/128 13/64 13/32 13/16 15/8 31/4 61/2
1011 27/256 27/128 27/64 27/32 111/16 33/8 63/4
1100 7/64 7/32 7/16 7/8 13/4 31/2 7
1101 29/256 29/128 29/64 29/32 113/16 35/8 71/4
1110 15/128 15/64 15/32 15/16 17/8 33/4 71/2
1111 31/256 31/128 31/64 31/32 115/16 37/8 73/4