Matematika Desimal, Biner, Oktal, Hexsa Desimal
Untuk mengubah angka desimal menjadi angka biner digunakan metode pembagian dengan angka 2 sambil memperhatikan sisanya. Mari kita perhatikan contohnya!
Untuk menuliskan notasi binernya, pembacaan dilakukan dari bawah yang berarti 11001101(2)
Dibaca dari bawah menjadi 111100(2) atau lazimnya dituliskandengan
00111100(2). Ingat bentuk umumnnya mengacu untuk 8 digit! Kalau111100 (ini
6 digit) menjadi 00111100 (ini sudah 8 digit).
Aritmatika Biner
Penjumlahan :
Seperti bilangan desimal, bilangan biner juga dijumlahkan dengan carayang sama. Pertama-tama yang harus dicermati adalah aturan pasangan digit biner berikut:
0 + 0 = 0
0 + 1 = 1
1 + 1 = 0 >> dan menyimpan 1
sebagai catatan bahwa jumlah dua yang terakhir adalah :
1 + 1 + 1 = 1 >> dengan menyimpan 1
Contoh 1 :
Menjumlahkan 5 Bilangan Biner
Perhatikan Contoh dibawah ini :
Berapakah Jumlah dari perhitungan diatas?. Berikut ini adalah cara menghitungnya secara bertahap :
![](data:image/png;base64,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)