NUMBERING SYSTEMS

Question 1

How do you convert Decimal to Binary, Octal and Hex?

Answer 1

• Repeated Division (First Remainder is LSB)
• Factoring

Question 2

How do you convert Hex, Octal and Binary to Decimal?

Answer 2

1. Multiply each bit of the Binary number by its positional weight.
2. Sum the individual products to obtain the decimal equivalent.

Question 3

How do you convert Binary to Octal and vice versa?

Answer 3

• B->O Divide into groups of 3 bits and and covert the bits to 1 Octal digit.
• O->B Converting each octal digit of the number into its 3 bit equivalent

Question 4

How do you convert Binary to Hex and vice versa?

Answer 4

• B->H Group the binary bits into 4 bit strings starting with the LSB & then convert each 4-bit group to the equivalent Hex digit.
• H->B Converting each Hex digit of the number into its 4 bit equivalent.