how is the decimal number 0 represented in binary?

The decimal number 0 is represented in binary simply as 0.

Quick Scoop

• In any positional number system (decimal, binary, hex), zero is written as a single 0 digit when the value itself is zero.

• So:
  • Decimal 0 → Binary 0
• If you need to show it in a fixed number of bits, you just pad with leading zeros, for example:
  • 4-bit: 0000
  • 8-bit: 00000000
  • 16-bit: 0000000000000000

In short: decimal 0 in binary is 0 (or 0000... with as many leading zeros as your format uses).

TL;DR: The decimal number 0 is represented in binary as 0.