# 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 = 0.015625 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