What is the hexadecimal number system?

Hexadecimal (base-16) uses digits 0–9 and letters A–F (A=10, B=11, C=12, D=13, E=14, F=15). It is widely used in computing because 1 hex digit represents exactly 4 binary bits. Example: FF₁₆ = 255₁₀ = 11111111₂.

Where do number system questions appear in competitive exams?

Number system conversions appear in SSC CGL (Computer Awareness), IBPS IT Officer, Railway, and banking exams. Common questions: convert a decimal to binary, find the decimal equivalent of a hex number, or identify the number system of a given value.

Number System Converter – Decimal, Binary, Octal, Hexadecimal

Q: How do you convert decimal to binary?

Divide the decimal number by 2 repeatedly. Record the remainder (0 or 1) at each step. Read remainders from bottom to top. Example: 13 ÷ 2 = 6 R1, 6 ÷ 2 = 3 R0, 3 ÷ 2 = 1 R1, 1 ÷ 2 = 0 R1. Reading bottom to top: 1101₂.

Q: How do you convert binary to decimal?

Multiply each binary digit by its positional power of 2 (starting from 2⁰ at the right) and sum them. Example: 1101₂ = 1×2³ + 1×2² + 0×2¹ + 1×2⁰ = 8 + 4 + 0 + 1 = 13.

Q: How do you convert binary to hexadecimal?

Group binary digits into groups of 4 from the right (pad with leading zeros if needed). Convert each group to its hex equivalent. Example: 11011110₂ → groups: 1101 1110 → D E → DE₁₆.

Enter a number, choose its base, and convert to any target base.

Number

From Base

To Base

Invalid number for the selected base. Check digits and try again.

Enter a decimal number and get its Binary, Octal and Hexadecimal equivalents at once.

Decimal Number

Enter a valid non-negative integer.

Enter a binary number and get its Decimal, Octal and Hexadecimal equivalents.

Binary Number

Enter a valid binary number (digits 0 and 1 only).

How to Use

Enter the Number

Type the number you want to convert. For hex, use digits 0–9 and letters A–F (case-insensitive).

Select Bases

Choose the source base (from) and target base (to). Or use Decimal → All to see all conversions at once.

See Step-by-Step

Get the converted result with full division-method or positional-expansion steps — exactly as shown in textbooks.

Frequently Asked Questions

How do you convert decimal to binary?

Divide the number by 2 repeatedly, recording remainders. Read remainders from bottom to top. Example: 13 → 13÷2=6 R1, 6÷2=3 R0, 3÷2=1 R1, 1÷2=0 R1 → reading up: 1101₂

How do you convert binary to decimal?

Multiply each bit by its positional power of 2 (rightmost = 2⁰) and sum. Example: 1101₂ = 1×2³ + 1×2² + 0×2¹ + 1×2⁰ = 8 + 4 + 0 + 1 = 13₁₀

What is hexadecimal and why is it used?

Hexadecimal (base-16) uses 0–9 and A–F. It's used in computing because one hex digit exactly represents 4 binary bits. So 8-bit bytes = 2 hex digits (00–FF). Example: FF₁₆ = 11111111₂ = 255₁₀.

How do you convert binary to hexadecimal?

Group binary digits into sets of 4 from the right (pad with leading zeros). Convert each group: 0000=0, …, 1001=9, 1010=A, 1011=B, 1100=C, 1101=D, 1110=E, 1111=F. Example: 11011110₂ → 1101 1110 → D E → DE₁₆

Where do number system questions appear in exams?

Number system conversions appear in SSC CGL Computer Awareness, IBPS IT Officer, Railway Group D, and banking exams. Common questions: convert decimal to binary, find hex equivalent, or identify the decimal value of an octal number.

Number System Converter

How to Use

Frequently Asked Questions

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