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Number System Basics

Introduction

Computers do not understand numbers the way humans do. To store and process data, computers use specific number systems. This pattern introduces the most basic concepts that are frequently asked as direct factual questions in Computer Aptitude exams.

No complex conversions are required at this level-clarity of concepts is enough to score.

Pattern: Number System Basics

Pattern

Computers use the binary number system (0 and 1) to represent all data, where a group of 8 bits forms one byte.

Step-by-Step Example

Question

How many bits make one byte?

Options:

  • A. 4 bits
  • B. 6 bits
  • C. 8 bits
  • D. 16 bits

Solution

  1. Step 1: Recall basic definitions

    A bit is the smallest unit of data, represented as 0 or 1.

  2. Step 2: Identify standard grouping

    Bits are grouped together to form a byte for easier data handling.

  3. Step 3: Apply the standard rule

    One byte always consists of 8 bits.

  4. Final Answer:

    8 bits → Option C

  5. Quick Check:

    1 character ≈ 1 byte → 8 bits confirmed ✅

Quick Variations

1. Number system used by computers → Binary.

2. Digits used in binary system → 0 and 1.

3. Decimal system digits → 0 to 9.

4. 1 nibble → 4 bits.

Trick to Always Use

  • Step 1 → If computer representation is mentioned, think Binary.
  • Step 2 → If bit-byte relation is asked, remember 1 byte = 8 bits.
  • Step 3 → No conversion asked → do not overthink.

Summary

Summary

  • Computers use the binary number system.
  • Binary system consists of only 0 and 1.
  • One byte is equal to 8 bits.
  • Most questions are direct and definition-based.

Example to remember:
Binary = 0 & 1, and 1 Byte = 8 Bits.

Practice

(1/5)
1. Which number system is used internally by computers to process data?
easy
A. Binary
B. Decimal
C. Octal
D. Hexadecimal

Solution

  1. Step 1: Recall how computers work

    Electronic circuits operate using two states: ON and OFF.

  2. Step 2: Match states with digits

    ON and OFF are represented as 1 and 0.

  3. Final Answer:

    Binary → Option A

  4. Quick Check:

    0 and 1 represent electrical states → binary confirmed ✅
Hint: Computer logic = 0 and 1 → Binary.
Common Mistakes: Choosing decimal because humans commonly use it.
2. How many bits are there in one nibble?
easy
A. 2 bits
B. 4 bits
C. 8 bits
D. 16 bits

Solution

  1. Step 1: Recall basic definitions

    A nibble is half of a byte.

  2. Step 2: Use byte-bit relationship

    1 byte = 8 bits.

  3. Final Answer:

    4 bits → Option B

  4. Quick Check:

    Half of 8 bits = 4 bits → nibble confirmed ✅
Hint: Nibble = half byte = 4 bits.
Common Mistakes: Confusing nibble with byte.
3. Which of the following digits are used in the binary number system?
easy
A. 0 and 1
B. 0 to 7
C. 0 to 9
D. 0 to 15

Solution

  1. Step 1: Identify binary digits

    Binary system is base-2.

  2. Step 2: Recall allowed digits

    Only two digits are used.

  3. Final Answer:

    0 and 1 → Option A

  4. Quick Check:

    Base-2 system uses only two symbols ✅
Hint: Binary = Base 2 = digits 0 and 1.
Common Mistakes: Selecting decimal digits due to habit.
4. Which number system uses digits from 0 to 9?
medium
A. Binary
B. Octal
C. Decimal
D. Hexadecimal

Solution

  1. Step 1: Recall human-used number system

    Everyday counting uses ten digits.

  2. Step 2: Match with system name

    Digits 0 to 9 define the decimal system.

  3. Final Answer:

    Decimal → Option C

  4. Quick Check:

    Base-10 system → decimal confirmed ✅
Hint: Digits 0-9 = Decimal.
Common Mistakes: Confusing octal with decimal.
5. How many bits are there in one byte?
medium
A. 4 bits
B. 6 bits
C. 8 bits
D. 16 bits

Solution

  1. Step 1: Recall standard definition

    A byte is a basic unit of storage.

  2. Step 2: Apply the fixed relationship

    One byte always equals 8 bits.

  3. Final Answer:

    8 bits → Option C

  4. Quick Check:

    1 character ≈ 1 byte → 8 bits verified ✅
Hint: 1 Byte = 8 Bits (always).
Common Mistakes: Mixing nibble and byte values.

Mock Test

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