{"id":168885,"date":"2025-08-24T16:48:26","date_gmt":"2025-08-24T11:18:26","guid":{"rendered":"https:\/\/www.practicemock.com\/blog\/?p=168885"},"modified":"2025-08-22T21:43:08","modified_gmt":"2025-08-22T16:13:08","slug":"number-conversion-for-ssc-cgl","status":"publish","type":"post","link":"https:\/\/www.practicemock.com\/blog\/number-conversion-for-ssc-cgl\/","title":{"rendered":"Number Conversion for SSC CGL, Know How to Convert Binary to Decimal"},"content":{"rendered":"\n

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Home<\/a><\/span> \u00bb SSC CGL<\/a><\/span> \u00bb Number Conversion for SSC CGL<\/span><\/span><\/div>\n\n\n

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Are you preparing for SSC CGL 2025 exam<\/a><\/strong>? Then you should also prepare the number conversion for SSC CGL 2025 Tier 1 exam. Number conversion means converting the binary to decimal, decimal to hexadecimal, and vice versa. This blog has provided the basic concept of the number conversion with some questions that match the level of the exam. Along with that, a PDF is provided having a detailed solution for the questions that we have provided. Go through this blog carefully and boost your preparation level.<\/p>\n\n\n\n

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Click Here to Attempt a Free New Interface SSC CGL Mock Test<\/strong><\/a><\/div>\n<\/div>\n\n\n\n

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Basic Concept of Number Conversion for SSC CGL<\/h2>\n\n\n\n

Number conversion<\/strong> refers to converting a number from one number system (or base) to another. It’s crucial for understanding how computers work and is a part of many aptitude tests like SSC CGL.<\/p>\n\n\n\n

Types of Number Systems<\/h3>\n\n\n\n

There are four commonly used number systems:<\/p>\n\n\n\n

Number System<\/th>Base<\/th>Digits Used<\/th><\/tr><\/thead>
Binary<\/td>2<\/td>0, 1<\/td><\/tr>
Octal<\/td>8<\/td>0 \u2013 7<\/td><\/tr>
Decimal<\/td>10<\/td>0 \u2013 9<\/td><\/tr>
Hexadecimal<\/td>16<\/td>0 \u2013 9, A \u2013 F (A=10)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

A. Binary to Decimal<\/h3>\n\n\n\n

Multiply each binary digit by 2n2^n2n (where n is the position index from right, starting with 0), then add all.<\/p>\n\n\n\n

Example<\/strong>: Convert 10112<\/sub>\u200b to decimal.<\/p>\n\n\n\n

1\u00d723<\/sup>+0\u00d722<\/sup>+1\u00d721<\/sup>+1\u00d720<\/sup>=8+0+2+1=11<\/code><\/p>\n\n\n\n

B. Decimal to Binary<\/h3>\n\n\n\n

Divide the decimal number by 2, note the remainder, repeat till the quotient is 0, then reverse the remainders.<\/p>\n\n\n\n

Example<\/strong>: Convert 1310<\/sub>\u200b to binary.<\/p>\n\n\n\n

13 \u00f7 2 = 6, remainder 1
6 \u00f7 2 = 3, remainder 0
3 \u00f7 2 = 1, remainder 1
1 \u00f7 2 = 0, remainder 1<\/p>\n\n\n\n

Answer: 1101<\/p>\n\n\n\n

C. Decimal to Octal<\/h3>\n\n\n\n

Divide by 8 and reverse the remainders.<\/p>\n\n\n\n

Example<\/strong>: Convert 6510<\/sub> to octal.<\/p>\n\n\n\n

65 \u00f7 8 = 8, remainder 1
8 \u00f7 8 = 1, remainder 0
1 \u00f7 8 = 0, remainder 1<\/p>\n\n\n\n

Answer<\/strong>: 1018<\/sub><\/strong><\/p>\n\n\n\n

D. Octal to Decimal<\/h3>\n\n\n\n

Method<\/strong>: Multiply each digit by powers of 8.<\/p>\n\n\n\n

Example<\/strong>: Convert 1578<\/sub>\u200b to decimal.<\/p>\n\n\n\n

1\u00d782<\/sup>+5\u00d781<\/sup>+7\u00d780<\/sup>=64+40+7=111<\/p>\n\n\n\n

Answer: 111<\/strong><\/p>\n\n\n\n

E. Decimal to Hexadecimal<\/h3>\n\n\n\n

Divide the number by 16, reverse the remainders. Use A\u2013F for 10\u201315.<\/p>\n\n\n\n

Example<\/strong>: Convert 25410<\/sub>\u200b to hexadecimal.<\/p>\n\n\n\n

254 \u00f7 16 = 15, remainder 14 \u2192 E
15 \u00f7 16 = 0, remainder 15 \u2192 F<\/p>\n\n\n\n

Answer:<\/strong> FE\u2081\u2086<\/p>\n\n\n\n

F. Hexadecimal to Decimal<\/h3>\n\n\n\n

Multiply each digit by powers of 16.<\/p>\n\n\n\n

Example<\/strong>: Convert 1A16<\/sub>\u200b to decimal.<\/p>\n\n\n\n

1\u00d7161<\/sup>+10\u00d7160<\/sup>=16+10=26<\/code><\/p>\n\n\n\n

Answer: 26<\/strong><\/p>\n\n\n\n

G. Binary to Octal \/ Hexadecimal<\/h3>\n\n\n\n

Group binary digits in sets of 3 (octal)<\/strong> or 4 (hex)<\/strong> from the right.<\/p>\n\n\n\n

Example (Binary to Octal)<\/strong>: Convert 1101012<\/sub>\u200b to octal.<\/p>\n\n\n\n

Group: 110 101
110 = 6, 101 = 5 \u2192 65\u2088<\/strong><\/p>\n\n\n\n

Answer: 65<\/strong><\/p>\n\n\n\n

Number Conversion Questions for SSC CGL: Download Free PDF<\/h2>\n\n\n\n

Here we have provided the questions on number conversion for SSC CGL exam. Along with that, we have provided a PDF containing solutions to these questions. Practice these questions and analyze the difficulty level of the questions. Before that, you are strongly advised to know the basics of the topic and understand it. It will help you to solve these questions easily.<\/p>\n\n\n\n

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Download Free PDF of Number Conversion Questions for SSC CGL<\/strong><\/a><\/div>\n<\/div>\n\n\n\n

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1. Convert (611)\u2081\u2080 into binary.<\/p>\n\n\n\n

(1) (1001011111)\u2082<\/p>\n\n\n\n

(2) (1001100111)\u2082<\/p>\n\n\n\n

(3) (1001110011)\u2082<\/p>\n\n\n\n

(4) (1001100011)\u2082<\/p>\n\n\n\n

2. Convert (10110110)\u2082 into decimal.<\/p>\n\n\n\n

(1) (178)\u2081\u2080<\/p>\n\n\n\n

(2) (179)\u2081\u2080<\/p>\n\n\n\n

(3) (182)\u2081\u2080<\/p>\n\n\n\n

(4) (183)\u2081\u2080<\/p>\n\n\n\n

3. Convert (11D)\u2081\u2086 into decimal.<\/p>\n\n\n\n

(1) (283)\u2081\u2080<\/p>\n\n\n\n

(2) (284)\u2081\u2080<\/p>\n\n\n\n

(3) (285)\u2081\u2080<\/p>\n\n\n\n

(4) (286)\u2081\u2080<\/p>\n\n\n\n

4. Find the sum of (1001)\u2082 and (1011)\u2082.<\/p>\n\n\n\n

(1) (10000)\u2082<\/p>\n\n\n\n

(2) (10100)\u2082<\/p>\n\n\n\n

(3) (10101)\u2082<\/p>\n\n\n\n

(4) (11001)\u2082<\/p>\n\n\n\n

5. Convert (101110)\u2082 into hexadecimal.<\/p>\n\n\n\n

a) (28)\u2081\u2086<\/p>\n\n\n\n

b) (29)\u2081\u2086<\/p>\n\n\n\n

c) (2E)\u2081\u2086<\/p>\n\n\n\n

d) (2F)\u2081\u2086<\/p>\n\n\n\n

6. Convert (251)\u2088 into binary.<\/p>\n\n\n\n

(1) (11101001)\u2082<\/p>\n\n\n\n

(2) (10101001)\u2082<\/p>\n\n\n\n

(3) (01010101)\u2082<\/p>\n\n\n\n

(4) (11100011)\u2082<\/p>\n\n\n\n

7. Convert (101011)\u2082 into octal.<\/p>\n\n\n\n

(1) (51)\u2088<\/p>\n\n\n\n

(2) (49)\u2088<\/p>\n\n\n\n

(3) (53)\u2088<\/p>\n\n\n\n

(4) (57)\u2088<\/p>\n\n\n\n

8. Convert (119)\u2081\u2086 into octal.<\/p>\n\n\n\n

(1) (411)\u2088<\/p>\n\n\n\n

(2) (431)\u2088<\/p>\n\n\n\n

(3) (435)\u2088<\/p>\n\n\n\n

(4) (429)\u2088<\/p>\n\n\n\n

9. Convert (79)\u2088 into hexadecimal.<\/p>\n\n\n\n

(1) (4F)\u2081\u2086<\/p>\n\n\n\n

(2) (5F)\u2081\u2086<\/p>\n\n\n\n

(3) (67)\u2081\u2086<\/p>\n\n\n\n

(4) (57)\u2081\u2086<\/p>\n\n\n\n

10. Convert (27.125)\u2081\u2080 into binary.<\/p>\n\n\n\n

(1) (11011.101)\u2082<\/p>\n\n\n\n

(2) (11011.010)\u2082<\/p>\n\n\n\n

(3) (11011.011)\u2082<\/p>\n\n\n\n

(4) (11011.001)\u2082<\/p>\n\n\n\n

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Download Free PDF of Number Conversion Questions for SSC CGL<\/strong><\/a><\/div>\n<\/div>\n\n\n\n

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Additional Resources for SSC CGL 2025 Exam Preparation<\/h2>\n\n\n\n

Here, we have provided some free preparation resources that will help you in your revision and exam preparation. Just don’t focus only on solving the number conversion questions. You are strongly advised to focus on other topics also. You are strongly advised to attempt these resources by making a plan so that you can use these resources systematically and effectively.<\/p>\n\n\n\n

Click for Mock Test -><\/strong><\/td>SSC CGL Free Full-Length Mock Test<\/strong><\/a><\/td><\/tr>
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Click for PYQs -><\/strong><\/td>Free SSC CGL Previous Year Question Papers<\/strong><\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

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Join our exclusive Telegram group for expert guidance, personalized tips, and real-time solutions to boost your SSC exam prep. [Click here to join now!<\/a>]<\/em><\/strong><\/p>\n\n\n\n

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Other Blogs of SSC CGL 2025<\/strong><\/td><\/tr>
SSC CGL Notification<\/a><\/td>SSC CGL Syllabus<\/a><\/td><\/tr>
SSC CGL Study Plan<\/a><\/td>SSC CGL Exam Pattern<\/a><\/td><\/tr>
SSC CGL Cut Off<\/a><\/td>SSC CGL Preparation Strategy<\/a><\/td><\/tr>
SSC CGL Previous Year Question Papers<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

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FAQs: Number Conversion for SSC CGL<\/h2>\n\n\n\n
What is number conversion in SSC CGL?<\/strong>

Number conversion involves changing numbers between binary, octal, decimal, and hexadecimal systems.<\/p> <\/div>

How do I convert binary to decimal?<\/strong>

Multiply each binary digit by powers of 2 and add them together from right to left.<\/p> <\/div>

How is decimal converted to hexadecimal?<\/strong>

Divide the decimal number by 16 repeatedly and use A\u2013F for values 10\u201315.<\/p> <\/div>

What\u2019s the trick for binary to octal conversion?<\/strong>

Group binary digits in sets of three from the right and convert each to its octal equivalent.<\/p> <\/div> <\/div>\n","protected":false},"excerpt":{"rendered":"

The Number Conversion topic has been added to the SSC CGL 2025 exam. Check the difficulty level of questions based on the Eduquity pattern.<\/p>\n","protected":false},"author":25,"featured_media":168891,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[16],"tags":[],"class_list":["post-168885","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ssc-cgl"],"yoast_head":"\nNumber Conversion for SSC CGL, Know How to Convert Binary to Decimal<\/title>\n<meta name=\"description\" content=\"The Number Conversion topic has been added to the SSC CGL 2025 exam. 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