The largest unsigned integer that can be represented by 8 binary bits is equal to the decimal integer 255.

1. The 8-bit unsigned binary number is represented as 00000000-11111111, which is 0-255 in decimal.

2. Binary is a number system widely used in computing technology. Binary data is a number represented by two digits, 0 and 1. Its base is 2, the carry rule is "when two are entered, one is added", and the borrowing rule is "borrow one to be equal to two".

3. Convert binary to decimal: Multiply each binary number by the corresponding power of 2 from right to left.

Binary 11111111=1*2^7+1*2^6+1*2^5+?1*2^0=128+64+32+16+8+4+2+ 1=255

So an 8-bit unsigned binary number represents 0-255***256 decimal numbers.