5.2 Number Bases

Question 1

What are number bases

Answer 1

The number of digits used to represent numbers in a numeral system

Question 2

What base is decimal? What numbers does it use? When is it used?

Answer 2

Decimal is base 10. it contains the numbers 0 - 9 and is used for humans to count.

Question 3

What base is Binary? What numbers does it use? When is it used?

Answer 3

Binary is base 2. It contains 2 digits 0 and 1. It is used by computers using high and low current.

Question 4

What base is hexadecimal? What numbers does it use? When is it used?

Answer 4

Hexadecimal is base 16. It uses numbers 0 - 9 and A - F. Its used for a shorter representation of binary.

Question 5

How do you convert binary to decimal?

Answer 5

You use place value headers starting with 1 and then increasing with powers of 2 over the binary value with the powers over each digit. Then add the headers where the bit equals 1

Question 6

How do you convert decimal to binary?

Answer 6

Use place value headers starting from the left hand side. You place 1 if the number is equal or less than the number. Take that number from your original number and repeat

Question 7

How do you convert binary to hexadecimal?

Answer 7

You must split the number in nybbles. Then convert each side into deanery then put the 2 numbers together.

Question 8

How do you convert from hexadecimal to decimal using binary?

Answer 8

Convert the hexadecimal into binary by converting each character. Then write out their individual binary value. Then solve it as if it were binary to deanery.

Question 9

How do you convert from decimal to hexadecimal?

Answer 9

first convert the number to binary. Then split the binary number into nybbles. Find their individual value and then put them together