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Number System Basics

Introduction

Computers numbers को उसी तरह नहीं समझते जैसे humans समझते हैं। Data को store और process करने के लिए computers specific number systems का use करते हैं। यह pattern उन सबसे basic concepts को introduce करता है जो Computer Aptitude exams में direct factual questions के रूप में frequently पूछे जाते हैं।

इस level पर कोई complex conversions की ज़रूरत नहीं होती- concepts की clarity ही score करने के लिए काफ़ी होती है।

Pattern: Number System Basics

Pattern

Computers सभी data को represent करने के लिए binary number system (0 और 1) का use करते हैं, जहाँ 8 bits का एक group मिलकर एक byte बनाता है।

Step-by-Step Example

Question

One byte कितने bits से मिलकर बनता है?

Options:

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

Solution

  1. Step 1: Recall basic definitions

    Bit data की सबसे smallest unit होती है, जिसे 0 या 1 के रूप में represent किया जाता है।
  2. Step 2: Identify standard grouping

    Easy data handling के लिए bits को group करके byte बनाया जाता है।
  3. Step 3: Apply the standard rule

    One byte हमेशा 8 bits से मिलकर बनता है।
  4. Final Answer:

    8 bits → Option C
  5. Quick Check:

    1 character ≈ 1 byte → 8 bits confirmed ✅

Quick Variations

1. Computers द्वारा used number system → Binary.

2. Binary system में used digits → 0 और 1.

3. Decimal system के digits → 0 से 9.

4. 1 nibble → 4 bits.

Trick to Always Use

  • Step 1 → अगर computer representation mention हो, तो Binary सोचें।
  • Step 2 → Bit-byte relation पूछा जाए, तो याद रखें 1 byte = 8 bits
  • Step 3 → Conversion नहीं पूछा गया हो → overthink न करें।

Summary

Summary

  • Computers binary number system का use करते हैं।
  • Binary system में केवल 0 और 1 होते हैं।
  • One byte = 8 bits होता है।
  • ज़्यादातर questions direct और definition-based होते हैं।

Example याद रखने के लिए:
Binary = 0 & 1, और 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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