NumForge LogoNumForge
Explore
Coding & Computer Number ToolsFree Interactive Tool

MAC Address to Binary

Convert 48-bit Ethernet hardware MAC addresses into binary bitstreams. Designed for software developers, electrical engineers, students, and computer architecture researchers requiring deterministic client-side accuracy.

Engine: Client-Side Verified (0ms Latency)

Enter 12 hex digits separated by colons, hyphens, or dots.

Calculated Output

Primary Representation
Calculating...

Step-by-Step Mathematical Proof

Active Derivation
Ready. Enter input above to generate derivation.
Concept

What Is MAC Address to Binary?

A MAC (Media Access Control) address is a 48-bit unique hardware identifier for network adapters. This tool converts the 12 hexadecimal characters into their exact 48 binary bits.

Methodology

How Does It Work?

Strips separators (: or -). Converts each of the 6 byte pairs from hexadecimal into 8 binary bits (4 bits per hex character).

Formula & Rules

Mathematical Algorithm

\text{MAC}_{16} = 6 \times 8\text{-bit bytes} \xrightarrow{} 48\text{ binary bits}
Worked Problem

Step-by-Step Example

Convert 00:1A:2B:3C:4D:5E: 00 -> 00000000 1A -> 00011010 2B -> 00101011 3C -> 00111100 4D -> 01001101 5E -> 01011110.

Important Rules & Edge Cases

  • Standard MAC addresses have 48 bits (6 octets).
  • The first 3 octets represent the OUI (Organizationally Unique Identifier / Vendor).

Practical Applications in Engineering

  • Layer 2 Ethernet frame header analysis.
  • Checking the I/G (Individual/Group) and U/L (Universal/Local) bit flags in networking.
  • Hardware address filtering.

Common Mistakes to Avoid

  • Caution: Entering non-hex characters.
  • Caution: Providing incorrect number of octets.
FAQ

Frequently Asked Questions

What is the broadcast MAC address in binary?

FF:FF:FF:FF:FF:FF, which is 48 consecutive 1s.