Question

Convert Hindu-Arabic to bases:

A) Decimal to Binary
B) Binary to Decimal
C) Octal to Hexadecimal
D) Hexadecimal to Octal

Answer 1

This answer explains how to convert between decimal, binary, octal, and hexadecimal bases.

Step-by-step explanation:

A) To convert a decimal number to binary, divide the decimal number by 2 repeatedly until the quotient is 0. Write down the remainder at each step in reverse order to get the binary equivalent.

B) To convert a binary number to decimal, multiply each digit of the binary number with powers of 2 starting from right to left. Add up the products to get the decimal equivalent.

C) To convert an octal number to hexadecimal, first convert the octal number to binary. Then group the binary digits into sets of 4, starting from the right. Assign each group a hexadecimal digit using the conversion chart.

D) To convert a hexadecimal number to octal, first convert the hexadecimal number to binary. Then group the binary digits into sets of 3, starting from the right. Assign each group an octal digit using the conversion chart.