Power of 2 Fraction Denominator Calculator

2^n Fraction Denominators
for n = 1, 2, 3, 4, 5, and 6

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 equaivalents for binary fractions.

1/64 = 0.01562517/64 = 0.26562533/64 = 0.51562549/64 = 0.765625
1/32 = 0.031259/32 = 0.2812517/32 = 0.5312525/32 = 0.78125
3/64 = 0.04687519/64 = 0.29687535/64 = 0.54687551/64 = 0.796875
1/16 = 0.06255/16 = 0.31259/16 = 0.562513/16 = 0.8125
5/64 = 0.07812521/64 = 0.32812537/64 = 0.57812553/64 = 0.828125
3/32 = 0.0937511/32 = 0.3437519/32 = 0.5937527/32 = 0.84375
7/64 = 0.10937523/64 = 0.35937539/64 = 0.60937555/64 = 0.859375
1/8 = 0.1253/8 = 0.3755/8 = 0.6257/8 = 0.875
9/64 = 0.14062525/64 = 0.39062541/64 = 0.64062557/64 = 0.890625
5/32 = 0.1562513/32 = 0.4062521/32 = 0.6562529/32 = 0.90625
11/64 = 0.17187527/64 = 0.42187543/64 = 0.67187559/64 = 0.921875
3/16 = 0.18757/16 = 0.437511/16 = 0.687515/16 = 0.9375
13/64 = 0.20312529/64 = 0.45312545/64 = 0.70312561/64 = 0.953125
7/32 = 0.2187515/32 = 0.4687523/32 = 0.7187531/32 = 0.96875
15/64 = 0.23437531/64 = 0.48437547/64 = 0.73437563/64 = 0.984375
1/4 = 0.251/2 = 0.53/4 = 0.751 = 1

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