Convert binary to decimal instantly and understand the process clearly. Master number systems and boost confidence with this easy, accurate online tool.
Ready to master binary conversions? Follow these quick tips:
0
and 1
in your input.Use this tool to quickly validate and interpret binary values for technical or educational use.
The binary number system is fundamental to computing and digital systems. Every digital operation relies on binary — a base-2 system using only 0 and 1.
The mathematical basis for conversion:
Decimal = Σ (bi × 2^i), where i = 0 to n-1 from right to left
1010
000101
is equivalent to 101
00000000
equals decimal 011111111111111111111111111111111
= 4294967295111
= 70
and 1
are allowedAn engineer reviews binary data: 11001001
. The decimal output:
Decimal = (1×2⁷) + (1×2⁶) + (0×2⁵) + (0×2⁴) + (1×2³) + (0×2²) + (0×2¹) + (1×2⁰) = 201
Interpreted as a temperature code: 201 → 20.1°C.
Binary subnet mask: 11111111.11111111.11111111.00000000
Each octet converted to decimal:
Segment 1: 11111111 = 255
Segment 4: 00000000 = 0
Resulting IP notation: 255.255.255.0
Use the calculator below to input any binary number and see its decimal equivalent instantly, complete with a breakdown of each step.
Start converting now and unlock the power of binary logic in seconds!
Binary Number | Conversion Steps | Decimal Result |
---|---|---|
101 | (1×2²) + (0×2¹) + (1×2⁰) = 4 + 0 + 1 | 5 |
1111 | (1×2³) + (1×2²) + (1×2¹) + (1×2⁰) = 8 + 4 + 2 + 1 | 15 |
1001 | (1×2³) + (0×2²) + (0×2¹) + (1×2⁰) = 8 + 0 + 0 + 1 | 9 |
00001010 | (0×2⁷)+(0×2⁶)+(0×2⁵)+(0×2⁴)+(1×2³)+(0×2²)+(1×2¹)+(0×2⁰) = 8 + 0 + 2 + 0 | 10 |
11111111111111111111111111111111 | Sum of 2⁰ through 2³¹ = 4294967295 | 4294967295 |