Binary, Denary and Hexadecimal

Question 1

Add these 2 binary numbers, then convert them to denary.

Answer 1

Question 2

Write this in binary and denary.

Answer 2

Question 3

Give the 4 rules to remember when adding binary numbers.

Answer 3

Question 4

Give each number/letter’s hexadecimal value in denary.

Answer 4

Single digits are the same in both (e.g. 0=0, 7=7), however number 10 in hex equals A, 11=B….. 15=F

16=10

Question 5

Give the rule for the conversion of hexadecimal to denary.

Answer 5

In denary (Base 10), a number is equal to each digit multiplied with its corresponding power of 10.

E.g. 358 = 3 x 10^2 + 5 x 10^1 + 8 x 10^0

358 = 300 + 50 + 8

In hexadecimal (Base 16), the power is 16 instead of 10.

E.g. 4D = 4 x 16^1 + 13 x 16^0

4D = 64 + 13 = 77

Question 6

Give the method to convert decimal to hexadecimal (by division). Show this by converting 583 to hex.

Answer 6

Question 7

Convert 15938 to hex.

Answer 7

15938 (base 10) in hex. 1st = 2. 2nd = 4. 3rd = E. 4th = 3
15938/16 = 996 r2
996/16 = 62 r4
62/16 = 3 r14

In Hex: 3E42