1. Number Base Relationships F451 AS Computing @ WBGS How to explain the relationship between binary and Octal/Hex values

2. Binary Number 172 denary into binary 172 denary into binary128643216842110101100

3. Octal Number 5126481 172 in denary 172 in denary is 254 in Octal is 254 in Octal 0*0=0 0*0=0 2*64=128 2*64=128 5*8=40 5*8=40 1*4=4 1*4=4 128+40+5=172 128+40+5=172 0*0=0 0*0=0 2*64=128 2*64=128 5*8=40 5*8=40 1*4=4 1*4=4 128+40+5=172 128+40+5=172 0 0 2 128 5 40 4 4

4. Hex Number 256161 172 in denary 172 in denary is AC in Hex is AC in Hex 0*0=0 0*0=0 10*16=160 (A) 10*16=160 (A) 1*12=12 (C) 1*12=12 (C) 160+12=172 160+12=172 0*0=0 0*0=0 10*16=160 (A) 10*16=160 (A) 1*12=12 (C) 1*12=12 (C) 160+12=172 160+12=172 0 0 A 160 C 12

5. Explain the relationships between the binary and octal representations of this value 10101100 Split the binary into 3’s Split the binary into 3’s 100 = 4 100 = 4 101 = 1+4=5 101 = 1+4=5 10 = 2 10 = 2 254 = Octal value 254 = Octal value

6. Explain the relationships between the binary and Hex representations of this value 10101100 Split the binary in half Split the binary in half 1100 = 4+8=12 (C) 1100 = 4+8=12 (C) 1010 = 2+8=10 (A) 1010 = 2+8=10 (A) AC = Hex value AC = Hex value