Modulo Operation/Examples
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Examples of Use of Modulo Operation
Modulo Operation: $5 \bmod 3$
- $5 \bmod 3 = 2$
Modulo Operation: $18 \bmod 3$
- $18 \bmod 3 = 0$
Modulo Operation: $-2 \bmod 3$
- $-2 \bmod 3 = 1$
Modulo Operation: $100 \bmod 3$
- $100 \bmod 3 = 1$
Modulo Operation: $100 \bmod 7$
- $100 \bmod 7 = 2$
Modulo Operation: $-100 \bmod 7$
- $-100 \bmod 7 = 5$
Modulo Operation: $-100 \bmod 0$
- $-100 \bmod 0 = -100$
Modulo Operation: $5 \bmod -3$
- $5 \bmod -3 = -1$
Modulo Operation: $18 \bmod -3$
- $18 \bmod -3 = 0$
Modulo Operation: $-2 \bmod -3$
- $-2 \bmod -3 = -2$
Modulo Operation: $1 \cdotp 1 \bmod 1$
- $1 \cdotp 1 \bmod 1 = 0 \cdotp 1$
Modulo Operation: $0 \cdotp 11 \bmod 0 \cdotp 1$
- $0 \cdotp 11 \bmod 0 \cdotp 1 = 0 \cdotp 01$
Modulo Operation: $0 \cdotp 11 \bmod -0 \cdotp 1$
- $0 \cdotp 11 \bmod -0 \cdotp 1 = -0 \cdotp 09$
Modulo Operation: $x \bmod 3 = 2$ and $x \bmod 5 = 3$
Let $x \bmod 3 = 2$ and $x \bmod 5 = 3$.
Then:
- $x \bmod 15 = 8$