TUGAS 2. RANGKUMAN MATERI SISTEM BILANGAN

 

TUGAS 2. RANGKUMAN MATERI SISTEM BILANGAN




      Sistem Biner dan Kode – kode digital merupakan dasar untuk komputer dan elektronika digital secara umum. Sistem bilangan biner seperti desimal, hexadesimal dan oktal juga dibahas pada bagian ini. Operasi aritmatika dengan bilangan biner akan dibahas untuk memberikan dasar pengertian bagaimana komputer dan jenis – jenis perangkat digital lain bekerja.

 

     Bilangan Desimal

Dalam setiap bilangan desimal terdiri dari 10 digit, 0 sampai dengan 9. Contoh: Ungkapkan bilangan desimal 2745.214 sebagai penjumlahan nilai setiap digit.

 

     Bilangan Biner

Sistem Bilangan biner merupakan cara lain untuk melambangkan kuantitas, dimana 1 (HIGH) dan 0 (LOW).  Sistem bilangan biner mempunyai nilai basis 2 dengan nilai setiap posisi dibagi dengan faktor 2:

 

     Konversi Desimal ke Biner

·         Metode Sum-of-Weight.

·         Pengulangan pembagian dengan Metode bilangan 2.

·         Konversi fraksi desimal ke biner.

1’s and 2’s Complements of Binary Numbers

The 1’s and 2’s Complements of Binary Numbers are very important because they permit the representation of negative numbers.  The method of 2’s compliment arithmetic is commonly used in computers to handle negative numbers

 

     Signed Numbers

Digital systems, such as the computer, must be able to handle both positive and negative numbers. A signed binary number consists of both sign and magnitude information. The sign indicates whether a number is positive or negative and the magnitude is the value of the number. There three forms in which signed integer (whole) numbers can be represented in binary:

  1. Sign-Magnitude
  2. 1’s Complement
  3. 2’s Complement

     The Decimal Value of Signed Numbers

                Decimal Value of positive and negative numbers in the sign-magnitude form are determined by summing the weights in all the magnitude bit positions where there are 1s and ignoring those positions where there are zeros.

 

     Arithmetic Operations with Signed Number

In this section we will learn how signed numbers are added, subtracted, multiplied and divided. This section will cover only on the 2’s complement arithmetic, because, it widely used in computers and microprocessor-based system .


Sumber : https://onlinelearning.uhamka.ac.id/ 

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