CareerCraftCareerCraft Labs
ENहिं
Start free

🔢 Mathematics Extras: Number Systems, Logs & HeightsUnion Public Service Commission

Start CDS Mathematics Extras: Number Systems, Logs & Heights preparation free Like it? Continue at just ₹29/month — less than ₹1 a day

2 chapters in syllabus order, in English and Hindi.

First chapter free — no card needed

Start freeRead the free chapter
  • 2chapters
  • 16quiz questions
  • EN + हिंevery chapter in both

Syllabus

CDS Mathematics Extras: Number Systems, Logs & Heights chapters

In the order you should study them.

🔢 2 chapters, in order2 chapters
  1. Number Systems, Binary Arithmetic and Logarithms
  2. Heights and Distances, and the Properties of Triangles

Try it now

Try a real Mathematics Extras: Number Systems, Logs & Heights question

A real question from the course. No sign-up needed.

From the chapter: Number Systems, Binary Arithmetic and Logarithms

The binary equivalent of the decimal number 45 is:

Show the answer and why

Answer: A.

Divide by 2 and read the remainders upward: 45→22 r1, 22→11 r0, 11→5 r1, 5→2 r1, 2→1 r0, 1→0 r1, giving 101101. Check by converting back: 32 + 8 + 4 + 1 = 45. Option B is 110101 = 53 — that is the same six digits read in the wrong direction, which is the error this question is built to catch. Option C is 43 and option D is 57.

Price

Start free. Upgrade when you are ready.

  • Basic₹29/monthless than ₹1 a day · every CDS chapter, mocks and PYQs
  • Free₹0first chapter + 1 full mock, no card
  • Premium₹399 oncethen ₹29/month · AI mentor, answer writing, unlimited mocks
Start CDS free

Prices include GST. Cancel anytime. Fees worked out per day →

Related

Other CDS subjects

Start CDS Mathematics Extras: Number Systems, Logs & Heights today

First chapter free — no card needed. Then the whole course is ₹29 a month — less than ₹1 a day. Cancel anytime.

Start free

Official sources

CareerCraft Labs is a private study platform. It is not a government body and is not affiliated with, endorsed by, or authorised by any examination authority. We do not accept applications, conduct examinations, or issue government results.

Notifications, syllabi, exam dates and results are official only on the conducting body's own website. Always verify there before you act on anything you read here.

Start free