genap

Genap is a term used in Indonesian mathematics to denote even numbers. It describes integers that are divisible by 2, meaning they can be written in the form 2k where k is an integer. In Indonesian, genap is contrasted with ganjil, which means odd numbers. Examples of genap numbers include 0, 2, 4, 6, and 8.

In base-10 notation, an integer is genap if its last digit is 0, 2, 4, 6, or 8; in other numerical bases parity is defined in the same way, though the representation differs. Genap numbers have several basic properties: the sum or difference of two genap numbers is also genap; the sum of an even and an odd number is odd; the product of an even number with any integer is even. Every even number can be expressed as 2k for some integer k.

Usage and context: Genap is a foundational concept in arithmetic, number theory, and discrete mathematics. It is taught in early mathematics education in Indonesia, Malaysia, and other regions with related linguistic terms. In everyday language, genap also appears in discussions about paired quantities or events that occur in twos.

Computing applications often use parity checks to determine if a value is genap, typically by evaluating whether the number modulo 2 equals 0. The concept of genap thus plays a central role in both mathematical theory and practical computation, as well as in instructional materials used to teach basic number sense.