Concepts

  1. Data Representation:
  2. Data Storage and Processing: Using microscopic switches to store data as open (0) or closed (1) circuits.
  3. Definitions:
  4. Number Systems:
  5. Registers: Storage locations in computers, with a focus on their size.

The document includes practice questions for converting between binary and denary.

Converting between different number system

Decimal to Binary

Formula: Continuously divide by 2, record the remainders, until the quotient is 0. Then, reverse the order of the remainders.

Example: Convert decimal number 45 to binary.

  1. 45 ÷ 2 = 22 remainder 1
  2. 22 ÷ 2 = 11 remainder 0
  3. 11 ÷ 2 = 5 remainder 1
  4. 5 ÷ 2 = 2 remainder 1
  5. 2 ÷ 2 = 1 remainder 0
  6. 1 ÷ 2 = 0 remainder 1

Result: Reverse the remainders: 101101

Binary to Decimal