Numeral Systems

Quinary & Senary
Converter & Calculator

Number System Converter

About Quinary (Base-5) & Senary (Base-6)

Quinary (Base-5) and Senary (Base-6) are numeral systems used in various cultures around the world. Base-5 is often linked to counting on the five fingers of one hand and is found in languages like Gumatj (Australia). Base-6 systems, sometimes used alongside Base-12 or Base-24 systems, are present in some Papuan languages (e.g., Kopo) and Nigerian languages. These "small base" systems are fascinating because they demonstrate diverse, often body-based, methods of counting that evolved independently of the now-dominant decimal system.

Quinary & Senary Calculator

 
base-5

Numeral System Utilities

Hand Counting Visualizer

See how a number is represented using hands โ€” the likely origin of base-5 counting. Each full hand is one "five"; the leftover fingers are the units digit.

Senary โ†’ Time (Base-60 Sexagesimal)

Treats your base-6 number as a count of seconds and expresses it in hours : minutes : seconds โ€” the base-60 system we still use for time and angles. For example, senary 140 is 1ร—36 + 4ร—6 + 0 = 60 in decimal, which is 00:01:00 โ€” exactly one minute.

Reference Charts

Counting tables for 0โ€“30 and the place values (powers) that make each system tick.

Quinary (Base-5)

DecimalQuinary

Senary (Base-6)

DecimalSenary

Place Values (Powers)

Position5แต6แต

Quick Quiz: Test Your Knowledge!

Questions go both ways โ€” reading base-5/6 numerals and writing them. Build a streak!

What is the decimal value of 23?

 

Score: 0