Why would a calculator have base 5?

I have a calculator that I found recently that has a base 5 option. It has options labelled HEX, BIN, DEC, OCT, and PEN. My son set it on PEN, and no numbers above 4 worked anymore. Playing around with it, it was clearly base 5. (E.g. 22 divided by 3 is 4).

Why does any calculator have base 5? The other bases are commonly used in computer science, but I can't think of the slightest reason why anyone would need base 5 on a calculator.

The calculator is by Sharp, with the number EL-W535 and the word Writeview.

• Doesn't the abacus use base-5? Commented Jan 19, 2014 at 2:22
• The Mayans used a modified base system that involved 5 and 20. Fingers 'n' toes. Commented Jan 19, 2014 at 2:24
• The mayans wore sandals or went barefoot. fashionencyclopedia.com/fashion_costume_culture/… Commented Jan 19, 2014 at 2:26
• The japanese abacus uses base 5 as a sub-base for base 10. We could say it's hybrid between the two, but in fact it's much more near base 10. An interesting fact is that learning to calculate with an abacus is supposed to help with mental calculation, since the brain associates the calculations with movements and an image of the abacus. Commented Jan 19, 2014 at 2:34
• I am wearing flip-flops, but I can't use my toes for counting because they are so gnarly they would be considered transcendental numbers. Commented Jan 19, 2014 at 2:45

Apparently, some computers in the 50's used a system to describe the decimal system which had base five digits, and another bit to represent if it was between $0-4$ or between $5-9$, known as a biquinary system.