All posit<8,0> representable numbers

Bit pattern	Decimal	Fraction
00000000	0.000000	0
00000001	0.015625	1/64
00000010	0.031250	1/32
00000011	0.046875	3/64
00000100	0.062500	1/16
00000101	0.078125	5/64
00000110	0.093750	3/32
00000111	0.109375	7/64
00001000	0.125000	1/8
00001001	0.140625	9/64
00001010	0.156250	5/32
00001011	0.171875	11/64
00001100	0.187500	3/16
00001101	0.203125	13/64
00001110	0.218750	7/32
00001111	0.234375	15/64
00010000	0.250000	1/4
00010001	0.265625	17/64
00010010	0.281250	9/32
00010011	0.296875	19/64
00010100	0.312500	5/16
00010101	0.328125	21/64
00010110	0.343750	11/32
00010111	0.359375	23/64
00011000	0.375000	3/8
00011001	0.390625	25/64
00011010	0.406250	13/32
00011011	0.421875	27/64
00011100	0.437500	7/16
00011101	0.453125	29/64
00011110	0.468750	15/32
00011111	0.484375	31/64
00100000	0.500000	1/2
00100001	0.515625	33/64
00100010	0.531250	17/32
00100011	0.546875	35/64
00100100	0.562500	9/16
00100101	0.578125	37/64
00100110	0.593750	19/32
00100111	0.609375	39/64
00101000	0.625000	5/8
00101001	0.640625	41/64
00101010	0.656250	21/32
00101011	0.671875	43/64
00101100	0.687500	11/16
00101101	0.703125	45/64
00101110	0.718750	23/32
00101111	0.734375	47/64
00110000	0.750000	3/4
00110001	0.765625	49/64
00110010	0.781250	25/32
00110011	0.796875	51/64
00110100	0.812500	13/16
00110101	0.828125	53/64
00110110	0.843750	27/32
00110111	0.859375	55/64
00111000	0.875000	7/8
00111001	0.890625	57/64
00111010	0.906250	29/32
00111011	0.921875	59/64
00111100	0.937500	15/16
00111101	0.953125	61/64
00111110	0.968750	31/32
00111111	0.984375	63/64
01000000	1.000000	1
01000001	1.031250	1 1/32
01000010	1.062500	1 1/16
01000011	1.093750	1 3/32
01000100	1.125000	1 1/8
01000101	1.156250	1 5/32
01000110	1.187500	1 3/16
01000111	1.218750	1 7/32
01001000	1.250000	1 1/4
01001001	1.281250	1 9/32
01001010	1.312500	1 5/16
01001011	1.343750	1 11/32
01001100	1.375000	1 3/8
01001101	1.406250	1 13/32
01001110	1.437500	1 7/16
01001111	1.468750	1 15/32
01010000	1.500000	1 1/2
01010001	1.531250	1 17/32
01010010	1.562500	1 9/16
01010011	1.593750	1 19/32
01010100	1.625000	1 5/8
01010101	1.656250	1 21/32
01010110	1.687500	1 11/16
01010111	1.718750	1 23/32
01011000	1.750000	1 3/4
01011001	1.781250	1 25/32
01011010	1.812500	1 13/16
01011011	1.843750	1 27/32
01011100	1.875000	1 7/8
01011101	1.906250	1 29/32
01011110	1.937500	1 15/16
01011111	1.968750	1 31/32
01100000	2.000000	2
01100001	2.125000	2 1/8
01100010	2.250000	2 1/4
01100011	2.375000	2 3/8
01100100	2.500000	2 1/2
01100101	2.625000	2 5/8
01100110	2.750000	2 3/4
01100111	2.875000	2 7/8
01101000	3.000000	3
01101001	3.125000	3 1/8
01101010	3.250000	3 1/4
01101011	3.375000	3 3/8
01101100	3.500000	3 1/2
01101101	3.625000	3 5/8
01101110	3.750000	3 3/4
01101111	3.875000	3 7/8
01110000	4.000000	4
01110001	4.500000	4 1/2
01110010	5.000000	5
01110011	5.500000	5 1/2
01110100	6.000000	6
01110101	6.500000	6 1/2
01110110	7.000000	7
01110111	7.500000	7 1/2
01111000	8.000000	8
01111001	10.000000	10
01111010	12.000000	12
01111011	14.000000	14
01111100	16.000000	16
01111101	24.000000	24
01111110	32.000000	32
01111111	64.000000	64
10000000	±∞	±∞
10000001	-64.000000	-64
10000010	-32.000000	-32
10000011	-24.000000	-24
10000100	-16.000000	-16
10000101	-14.000000	-14
10000110	-12.000000	-12
10000111	-10.000000	-10
10001000	-8.000000	-8
10001001	-7.500000	-7 1/2
10001010	-7.000000	-7
10001011	-6.500000	-6 1/2
10001100	-6.000000	-6
10001101	-5.500000	-5 1/2
10001110	-5.000000	-5
10001111	-4.500000	-4 1/2
10010000	-4.000000	-4
10010001	-3.875000	-3 7/8
10010010	-3.750000	-3 3/4
10010011	-3.625000	-3 5/8
10010100	-3.500000	-3 1/2
10010101	-3.375000	-3 3/8
10010110	-3.250000	-3 1/4
10010111	-3.125000	-3 1/8
10011000	-3.000000	-3
10011001	-2.875000	-2 7/8
10011010	-2.750000	-2 3/4
10011011	-2.625000	-2 5/8
10011100	-2.500000	-2 1/2
10011101	-2.375000	-2 3/8
10011110	-2.250000	-2 1/4
10011111	-2.125000	-2 1/8
10100000	-2.000000	-2
10100001	-1.968750	-1 31/32
10100010	-1.937500	-1 15/16
10100011	-1.906250	-1 29/32
10100100	-1.875000	-1 7/8
10100101	-1.843750	-1 27/32
10100110	-1.812500	-1 13/16
10100111	-1.781250	-1 25/32
10101000	-1.750000	-1 3/4
10101001	-1.718750	-1 23/32
10101010	-1.687500	-1 11/16
10101011	-1.656250	-1 21/32
10101100	-1.625000	-1 5/8
10101101	-1.593750	-1 19/32
10101110	-1.562500	-1 9/16
10101111	-1.531250	-1 17/32
10110000	-1.500000	-1 1/2
10110001	-1.468750	-1 15/32
10110010	-1.437500	-1 7/16
10110011	-1.406250	-1 13/32
10110100	-1.375000	-1 3/8
10110101	-1.343750	-1 11/32
10110110	-1.312500	-1 5/16
10110111	-1.281250	-1 9/32
10111000	-1.250000	-1 1/4
10111001	-1.218750	-1 7/32
10111010	-1.187500	-1 3/16
10111011	-1.156250	-1 5/32
10111100	-1.125000	-1 1/8
10111101	-1.093750	-1 3/32
10111110	-1.062500	-1 1/16
10111111	-1.031250	-1 1/32
11000000	-1.000000	-1
11000001	-0.984375	-63/64
11000010	-0.968750	-31/32
11000011	-0.953125	-61/64
11000100	-0.937500	-15/16
11000101	-0.921875	-59/64
11000110	-0.906250	-29/32
11000111	-0.890625	-57/64
11001000	-0.875000	-7/8
11001001	-0.859375	-55/64
11001010	-0.843750	-27/32
11001011	-0.828125	-53/64
11001100	-0.812500	-13/16
11001101	-0.796875	-51/64
11001110	-0.781250	-25/32
11001111	-0.765625	-49/64
11010000	-0.750000	-3/4
11010001	-0.734375	-47/64
11010010	-0.718750	-23/32
11010011	-0.703125	-45/64
11010100	-0.687500	-11/16
11010101	-0.671875	-43/64
11010110	-0.656250	-21/32
11010111	-0.640625	-41/64
11011000	-0.625000	-5/8
11011001	-0.609375	-39/64
11011010	-0.593750	-19/32
11011011	-0.578125	-37/64
11011100	-0.562500	-9/16
11011101	-0.546875	-35/64
11011110	-0.531250	-17/32
11011111	-0.515625	-33/64
11100000	-0.500000	-1/2
11100001	-0.484375	-31/64
11100010	-0.468750	-15/32
11100011	-0.453125	-29/64
11100100	-0.437500	-7/16
11100101	-0.421875	-27/64
11100110	-0.406250	-13/32
11100111	-0.390625	-25/64
11101000	-0.375000	-3/8
11101001	-0.359375	-23/64
11101010	-0.343750	-11/32
11101011	-0.328125	-21/64
11101100	-0.312500	-5/16
11101101	-0.296875	-19/64
11101110	-0.281250	-9/32
11101111	-0.265625	-17/64
11110000	-0.250000	-1/4
11110001	-0.234375	-15/64
11110010	-0.218750	-7/32
11110011	-0.203125	-13/64
11110100	-0.187500	-3/16
11110101	-0.171875	-11/64
11110110	-0.156250	-5/32
11110111	-0.140625	-9/64
11111000	-0.125000	-1/8
11111001	-0.109375	-7/64
11111010	-0.093750	-3/32
11111011	-0.078125	-5/64
11111100	-0.062500	-1/16
11111101	-0.046875	-3/64
11111110	-0.031250	-1/32
11111111	-0.015625	-1/64