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Examples for
Step-by-Step Discrete Mathematics
Number Values
See how to determine the absolute value of a number:
absolute value of -19
abs(46)
|-288|
Fractions, Ratios & Percents
Convert a fraction to a mixed number step by step:
87/5 as a mixed number
convert 61/4 to a mixed number
Get step-by-step solutions for converting between percents and fractions:
64% as a fraction
what is 12.35% as a fraction?
Learn how to make conversions between percents and decimals:
40% as a decimal number
63.8% as a decimal
Divisors
See how to compute all the divisors of a number step by step:
divisors of 92
divisors of 45
divisors 19
Learn how to find the total number of divisors of a given number:
number of divisors of 20
Follow the steps to find the sum of the divisors:
sum of divisors of 30
See step-by-step solutions for the divisor function:
divisor sigma(0, 10)
divisor sigma(1, 8)
divisor sigma(2, 15)
Learn how to check if a number is square free:
Is 210 square-free?
Base Conversions
Get the steps for converting numbers to binary:
convert 12345 to binary
876 to base 2
Learn how to convert numbers to hexadecimal:
convert 7652 to hexadecimal
76231528 to base 16
Convert between integer bases from binary to base 36:
convert 33ab3653 base 12 to base 10
0xa4fb in binary
convert cat from base 36 to base 35
See the steps to add or subtract integers in bases 2 through 9:
102 base 3 + 21 base 3
5^^123 - 4^^123
12_3 + 45_6 + 78_9
Divisibility
See the steps to determine divisibility:
is 282 divisible by 47?
14 divisible by 5
is 126 divisible by 7?
is 4878 divisible by 9?
Prime Numbers
Find step-by-step solutions for testing if a number is prime or composite:
is 73 prime?
primality 290
is 543 prime or composite?
GCD & LCM
See the steps for finding a greatest common divisor:
gcd(56, 24)
greatest common divisor of {12, 45, 72}
88 and 154 greatest common factor
Find a least common multiple:
lcm(90, 342)
least common multiple {12, 56, 27}
See step-by-step solutions for determining if two integers are coprime:
are 12 and 21 coprime?
are 14 and 27 coprime?
Count the positive integers coprime to and less than a given number:
Euler phi 36
totient 13
Arithmetic Functions
Learn how to evaluate arithmetic functions step by step:
Moebius mu of 9
Mangoldt lambda of 27
what is PrimeNu[48]
what is PrimeOmega[48]
what is Liouville lambda of 24
RELATED EXAMPLES
Base Conversions
Discrete Mathematics
Number Theory
Prime Factorization
Perform prime factorization one step at a time:
factor 72
5040 factorization
prime factors 47
prime factorization of 56
Exponents & Roots
See the steps for computing the value of a number raised to a power:
4^3
12^5
Multiply numbers with exponents step by step:
3^2 * 3^5
4^3 * 8^2
Divide numbers with exponents:
(7^9)/(7^4)
3^4 / 9^3
Get the steps for simplifying expressions with radicals:
square root of 25
sqrt(81)
simplify sqrt(45)
simplify 24^(1/2)
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