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Number Base Relationships

Number Base Relationships. How to explain the relationship between binary and Octal/Hex values. F451 AS Computing @ WBGS. Binary Number. 172 denary into binary. 1. 0. 1. 0. 1. 1. 0. 0. Octal Number. 172 in denary is 254 in Octal. 0*0=0 2*64=128 5*8=40 1*4=4 128+40+5= 172. 0.

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Number Base Relationships

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

  2. Binary Number • 172 denary into binary 1 0 1 0 1 1 0 0

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

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

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

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

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