Examples of techniques for hexadecimal exponent alignment for a binary floating point unit (BFU) of a computer processor are described herein. An aspect includes receiving, by the BFU, a first operand comprising a first fraction and a first exponent, and a second operand comprising a second fraction and a second exponent. Another aspect includes, based on the first operand and the second operand being in a first floating point format, multiplying each of the first exponent and the second exponent by a factor corresponding to a number of bits in a digit in the first floating point format.