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Power of 2 Fraction Denominator Calculator

2^n Fraction Denominators for n = 1, 2, 3, 4, 5, and 6
Enter quantity to convert. You may use ()-+*/, pi, e, and the functions sqrt(), cbrt(), ln(), and exp().

For US customary units such as inches, pounds, and gallons, fractional units are often expressed as halves, quarters, eighths, sixteenths, etc. Fractions whose denominator is a power of 2 are sometimes known as binary fractions.

For instance, if you have quantities such as 3.457 inches, 9.65 pounds, or 1.0779 gallons, it is common to round these to the nearest fraction whose denominator is a power of 2. For example, 3.457 in. ≈ 3 ⁷/₁₆ in., 9.65 lbs. ≈ 9 ³/₄ lbs., and 1.0779 gal. ≈ 1 ⁵/₆₄ gal.

The calculator on the left will convert any given numerical expression to the nearest 1/2, 1/4, 1/8, 1/16, 1/32, or 1/64. It will also indicate if the approximation is higher or lower than the exact value.

For your convenience, you can also use the following table of fraction to decimal equivalents for binary fractions.

1/64 = 0.015625	17/64 = 0.265625	33/64 = 0.515625	49/64 = 0.765625
1/32 = 0.03125	9/32 = 0.28125	17/32 = 0.53125	25/32 = 0.78125
3/64 = 0.046875	19/64 = 0.296875	35/64 = 0.546875	51/64 = 0.796875
1/16 = 0.0625	5/16 = 0.3125	9/16 = 0.5625	13/16 = 0.8125
5/64 = 0.078125	21/64 = 0.328125	37/64 = 0.578125	53/64 = 0.828125
3/32 = 0.09375	11/32 = 0.34375	19/32 = 0.59375	27/32 = 0.84375
7/64 = 0.109375	23/64 = 0.359375	39/64 = 0.609375	55/64 = 0.859375
1/8 = 0.125	3/8 = 0.375	5/8 = 0.625	7/8 = 0.875
9/64 = 0.140625	25/64 = 0.390625	41/64 = 0.640625	57/64 = 0.890625
5/32 = 0.15625	13/32 = 0.40625	21/32 = 0.65625	29/32 = 0.90625
11/64 = 0.171875	27/64 = 0.421875	43/64 = 0.671875	59/64 = 0.921875
3/16 = 0.1875	7/16 = 0.4375	11/16 = 0.6875	15/16 = 0.9375
13/64 = 0.203125	29/64 = 0.453125	45/64 = 0.703125	61/64 = 0.953125
7/32 = 0.21875	15/32 = 0.46875	23/32 = 0.71875	31/32 = 0.96875
15/64 = 0.234375	31/64 = 0.484375	47/64 = 0.734375	63/64 = 0.984375
1/4 = 0.25	1/2 = 0.5	3/4 = 0.75	1 = 1