Math Problem Statement
Solution
Here’s a breakdown of each question in the document along with solutions and explanations:
-
Q1: This question asks to complete a functional diagram of a computer. The basic functional components are:
- Input Devices (e.g., keyboard, mouse): These allow data entry.
- Processor (CPU): Central Processing Unit, handles the data processing.
- Memory (RAM): Stores data temporarily for quick access.
- Output Devices (e.g., monitor, printer): These display or output processed data.
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Q2: Convert binary numbers to decimal:
- 77 (decimal) is written in binary as
1001101
. - For
11001100
(binary), converting it to decimal yields: Thus, the decimal value of11001100
is 204.
- 77 (decimal) is written in binary as
-
Q3: Why does the computer treat information only as "0" and "1"?
- Computers operate using binary because they function on electrical signals, where two distinct states (on/off or high/low voltage) are represented as "0" and "1". This binary system is the simplest way for computers to process and store data.
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Q4: With a 5-bit word, how many different pieces of information can be represented?
- With 5 bits, you can represent different values (from 00000 to 11111 in binary).
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Q5: Finding the code for letters in binary:
a = 01100001
b = 01100010
- Assuming we follow ASCII codes:
c = 01100011
d = 01100100
e = 01100101
h = 01101000
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Q6: The most important part of a PC and its role.
- The CPU (Central Processing Unit) is crucial as it processes instructions, performs calculations, and manages data flow within the computer.
-
Q7: Uses of computing in various fields with their roles.
- Medicine: Computers are used in diagnostics and managing medical records.
- Education: Computers facilitate learning through access to information and educational tools.
Would you like further details or have any questions on these answers?
Related Questions:
- What are the advantages of binary over other numeral systems for computing?
- How does binary data translate into real-world actions by a computer (like displaying images)?
- What are other primary components of a computer aside from the CPU and memory?
- How does ASCII encoding work, and why is it essential in computing?
- How do computers perform binary calculations at a physical level?
Tip: Remember, binary is the foundation of all digital data. Every letter, number, and command on your screen is a combination of "0" and "1."
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Math Problem Analysis
Mathematical Concepts
Binary-Decimal Conversion
Binary Representation
Information Theory
Formulas
Binary to Decimal: sum of powers of 2 based on binary position
Number of Representable Values: 2^n for n bits
Theorems
Binary System in Computing
Suitable Grade Level
High School (Grades 9-12)