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.
Your numbers
Answer
Decimal system
2,026
Binary (2)
11111101010
Hexadecimal (16)
7EA
Octal (8)
3752
Roman numerals
MMXXVI
How to work it out
- 12026 : 2 = 1013 remainder 0
- 21013 : 2 = 506 remainder 1
- 3506 : 2 = 253 remainder 0
- 4253 : 2 = 126 remainder 1
- 5126 : 2 = 63 remainder 0
- 663 : 2 = 31 remainder 1
- 731 : 2 = 15 remainder 1
- 815 : 2 = 7 remainder 1
- 97 : 2 = 3 remainder 1
- 103 : 2 = 1 remainder 1
- 111 : 2 = 0 remainder 1
- 12Read the remainders from the bottom up: 11111101010
The formula
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).
More: Numbers and percentages
- PercentPercentage of, how many per cent, percentage change, discount and VAT.
- FractionsAdd, subtract, multiply and divide fractions — and simplify the answer.
- Powers and rootsPowers, square roots, nth roots and numbers as powers of 10.
- Primes and divisorsIs it a prime? Prime factors, divisors, GCD and LCM.
- Rounding and estimatingRound to decimals, tens or significant figures — and make an estimate.
- Order of operationsEnter a calculation and see it worked out step by step in the right order.