Number systems and Roman numerals

Computers count in 0 and 1, and clock faces and chapters use Roman numerals. Convert both ways and see how place value works.

The explanation is shown. Quick: decimal, binary, hexadecimal and Roman numerals. Advanced: also octal — and the number in every base from 2 to 16.

Your numbers

The number is written in

Numbers

Decimal system

2,026

Binary (2)

11111101010

Hexadecimal (16)

7EA

Octal (8)

3752

Roman numerals

MMXXVI

1101₂ = 1·8 + 1·4 + 0·2 + 1·1 = 13

Each place is the base times bigger than the place to its right.

I=1 · V=5 · X=10 · L=50 · C=100 · D=500 · M=1000

Roman numerals: if a smaller symbol stands before a larger one, it is subtracted (IV = 4, XC = 90).

In depth: more numbers and “what if”

2,026 in every base from 2 to 16

The places in the binary number

Capacity	Value	Digit	Contribution
2^10	1,024	1	1,024
2^9	512	1	512
2^8	256	1	256
2^7	128	1	128
2^6	64	1	64
2^5	32	1	32
2^4	16	0	0
2^3	8	1	8
2^2	4	0	0
2^1	2	1	2
2^0	1	0	0