Question

Base conversion. Perform the following conversion (you must have to show the steps to get any credit.

Answer 1

Base to be converted to was not included but we would assume conversion to base 10(decimal)

Answer and Explanation:

The 3DF in base 16 is a hex number so we need to convert to its equivalent binary/base 2 form:

We therefore each digit of given hex number 3DF in base 16 to equivalent binary, 4 digits each.

3 = 0011

D = 1101

F = 1111

We then arrange the binary numbers in order

3DF base 16 = 1111011111 in base 2

We then convert to base 10 =

= 1x2^9+1x2^8+1x2^7+1x2^6+0x2^5+1x2^4+1x2^3+1x2^2+1×2^1+1×2^0

= 991 in base 10