Question

Decimal to binary conversion -
1228
4964
3388
88622
99874
3246
7878
558
229​

Answer 1

Answer:

255 in binary is 11111111. Unlike the decimal number system where we use the digits 0 to 9 to represent a number, in a binary system, we use only 2 digits that are 0 and 1 (bits). We have used 8 bits to represent 255 in binary. In this article, we will show how to convert the decimal number 255 to binary.

255 in Binary: 255₁₀ = 11111111₂

255 in Octal: 255₁₀ = 377₈

255 in Hexadecimal: 255₁₀ = FF₁₆

11111111₂ in Decimal: 255₁₀

Step-by-step explanation:

Step 1: Divide 255 by 2. Use the integer quotient obtained in this step as the dividend for the next step. Repeat the process until the quotient becomes 0.

Dividend Remainder

255/2 = 127 1

127/2 = 63 1

63/2 = 31 1

31/2 = 15 1

15/2 = 7 1

7/2 = 3 1

3/2 = 1 1

1/2 = 0 1

Step 2: Write the remainder from bottom to top i.e. in the reverse chronological order. This will give the binary equivalent of 255.

Therefore, the binary equivalent of decimal number 255 is 11111111