Question

The largest unsigned decimal number that can be represented in binary using six bits is

Answer 1

The largest unsigned decimal number that can be represented using 6 - bits in binary is = 111111

Here 111111 is a binary number.If we convert this into decimal form,that will be our answer.

111111 is represented in decimal as follows:

111111=(1×2⁵)+(1×2⁴)+(1×2³)+(1×2²)+(1×2¹)+(1×2⁰)=63

This can also be found using the formula:

2ⁿ-1 where n is number of bits

=>2⁶-1=64-1=63

Hence the largest unsigned decimal number that can be represented using 6-bits in binary is 63.