Pendaraban nombor besar banyak digunakan dalam pengkomputeran saintifik. Walau bagaimanapun, terdapat hanya beberapa alogritma yang ada kini, memperoleh keefisienan mereka melalui pendaraban integer besar. Oleh sebab pendaraban integer tidak natif terhadap struktur penomboran arkitektur komputer bagi bit dan bait, maka pelaksanaan algoritma tersebut akan menjadi agak lamb at Penyelidikan ini menekankan algoritma pend araban nombor besar berdasarkan simbol yang terekstrak daripada sistem nombor perduaan. Kami namakan struktur penomboran barn ini sebagai "ZOT". Algoritma baru bagi pendaraban nombor besar, ZOT-MK, dibina daripada gabungan algoritma Karatsuba dan struktur ZOT. Multiplication of big numbers is being used heavily in scientific computation. However, there are only a few existing algorithms today that gain their efficiency through the multiplication of the big integer characteristic. Since the multiplication on integers is not native to the computer architecture numbering structure of bits and bytes, such algorithms are bound to be a bit slower on the implementation. This research focuses on big number multiplication algorithm that is based on the symbols extracted from the binary numbering system. We named the new numbering structure as "ZOT". The new algorithm for big numbers mUltiplication, ZOT-MK, is constructed from the combination of Karatsuba algorithm and the ZOT structure.