Simplify the following:
100 mod 16
Also, does 16 divide 100?
Define modulus:
Remainder of a ÷ b
In this case, a = 100 and b = 16
Calculate whole number part:
16 goes into 100 a total of 6 times
16 x 6 = 96
Calculate remainder part:
Remainder = a - whole number
Remainder = 100 - 96
100 mod 16 ≡ 4
This means that 16 does not divide 100 → 16∤100
Excel or Google Sheets formula:
Excel or Google Sheets formula:
=MOD(100,16)
What is the Answer?
100 mod 16 ≡ 4
This means that 16 does not divide 100 → 16∤100
How does the Modulus Calculator work?
Free Modulus Calculator - Given 2 integers a and b, this modulo calculator determines a mod b or simplifies modular arithmetic such as 7 mod 3 + 5 mod 8 - 32 mod 5
This calculator has 1 input.
What 1 formula is used for the Modulus Calculator?
amodb = Remainder after a ÷ b
What 2 concepts are covered in the Modulus Calculator?
- modulus
- the remainder of a division, after one number is divided by another.
a mod b - remainder
- The portion of a division operation leftover after dividing two integers