what is the decimal value of 11012?

The decimal value of the binary number 110121101_211012​ is 13 in decimal.

Quick Scoop

To convert 110121101_211012​ to decimal:

• Write the place values from right to left as powers of 2:
  • Rightmost 1 → 20=12^0=120=1
  • Next 0 → 21=22^1=221=2
  • Next 1 → 22=42^2=422=4
  • Leftmost 1 → 23=82^3=823=8
• Multiply each bit by its place value and add:
  • 1×23=81\times 2^3=81×23=8
  • 1×22=41\times 2^2=41×22=4
  • 0×21=00\times 2^1=00×21=0
  • 1×20=11\times 2^0=11×20=1
• Total: 8+4+0+1=138+4+0+1=138+4+0+1=13

So, the decimal value of 1101₂ is 13₁₀.

TL;DR: 11012=13101101_2=13_{10}11012​=1310​.