Number Base Conversion Tutorial

What is the first step in converting an integer from decimal to another base?

Divide decimal number by the base

In converting an integer from decimal to another base, what does the remainder represent?

Lowest-order digit

What is the first step in converting a fraction from decimal to another base?

Multiply decimal number by the base

In converting a fraction from decimal to another base, what does the integer represent?

Highest-order digit Signup and view all the answers

What is the first step in converting an integer from decimal to octal (base 8)?

Divide decimal number by the base (8) Signup and view all the answers

In converting an integer from decimal to octal, what does the remainder represent?

Lowest-order digit Signup and view all the answers

What is the first step in converting an integer from decimal to hexadecimal?

Divide the decimal number by the base (16) Signup and view all the answers

What is the highest-order digit in the octal conversion of (0.3125)10?

4 Signup and view all the answers

How is binary addition best explained?

By showing an example of adding two binary numbers Signup and view all the answers

What is used to represent signed numbers in computers?

Plus and minus signs Signup and view all the answers

What is the coefficient a1 in the octal conversion of (175)10?

A Signup and view all the answers

What is the second step in converting a fraction from decimal to hexadecimal?

Multiply the decimal number by the base (16) Signup and view all the answers

What does the left-most bit indicate in signed binary number representations?

'0' for positive and '1' for negative Signup and view all the answers

What is the lowest-order digit in the octal conversion of (175)10?

15 Signup and view all the answers

How is binary multiplication similar to decimal multiplication?

Signup and view all the answers

What is used to convert between Base 16 and Base 2?